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ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุทูŠุจ ุงุญู†ุง ูŠุง ุจู†ุงุช ูˆุตู„ู†ุง ู„ุนู†ุฏ
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ุงู„ yule walker equations ูˆุฅูŠุด ู…ู…ูƒู† ู‡ุฐู‡ ุงู„ yule
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walker equations ู†ุณุชุฎุฏู…ู‡ุง ููŠ ุชู‚ุฏูŠุฑ ุงู„ partial
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autocorrelation functions ู„ุงู„ auto regressive of
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order P process ู…ุงุดูŠุŸ ุงู„ู„ูŠ ุจุงู„ู…ู†ุงุณุจุฉ ุงู„ yule
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walker equations mainly ู†ุณุชุฎุฏู…ู‡ุง ู„ู„ูŠ ุฃู†ุง ูƒุงุชุจู‡ ููŠ
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ุงู„ู…ู„ุงุญุธุฉ ุงู„ุฃุฎูŠุฑุฉ ู‡ุฐุง ู‡ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ yule walker
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equations is a technique that can be usedto
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estimate the autoregressive parameters of the
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autoregressive of order B or H ุฃูˆ ุฃูŠ ุงุณู… ุณู…ูŠู‡ ุฃู†ุง
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ู…ุซู„ุง ุฃู†ุง ุนุงู…ุฏุง ุจุณู…ูŠู‡ H ุนุดุงู† ู‡ุฑุจุทู‡ ุจุงู„ lags ู…ุงุดูŠุŸ
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ุจุณ ู‡ุฐุง ู…ุด ู…ุฌุฑุฏ ูŠุนู†ูŠ ู…ุด .. ูŠุนู†ูŠ ู…ุด .. ู…ุด ุฅุดูŠ ูƒุจูŠุฑ
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ู…ุฌุฑุฏ ุงุณู… ุทูŠุจูุฅุฐุง ู‡ุฏูˆู„ุฉ ุงู„ parameters ุงู„ูุงูŠุฒ ู‡ุฏูˆู„
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ุดุงูŠูุงู‡ู… ุงู„ fees ู‡ุฏูˆู„ุฉ ุนุดุงู† ู†ุนู…ู„ู‡ู… estimate ุฅุญุฏู‰ ุงู„
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techniques ุงู„ู„ูŠ ุจู†ุณุชุฎุฏู…ู‡ ู‡ูˆ ุงู„ technique ุงู„ู„ูŠ ุงุณู…ู‡
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dual worker equations ุนุดุงู†ุŸ ุทูŠุจ ู„ูƒู† ุฑุบู… ุฐู„ูƒ .. ุฑุบู…
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ุฐู„ูƒ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ู‡ุฐุง ุงู„ technique ุจุฅูŠุฌุงุฏ ุงู„
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partial autocorrelation functions ูŠุนู†ูŠ ูŠุง ุจู†ุงุช
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ุตุฑุงุญุฉ ููŠ ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุงู„ partial autocorrelation
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function ูˆ ู…ุง ุจูŠู† ุงู„ ู…ูŠู† ุงู„ fees ู‡ุฏูˆู„ ุฃูˆ ุงู„ูุงูŠุฒูˆ
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ู„ุฐู„ูƒ ุงู„ุชูƒู†ูŠูƒู‰ ุงู„ู„ู‰ ู‡ู†ุณุชุฎุฏู…ู‡ุง ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุดูˆู
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ุงู„ูŠูˆู… ุงู„ู„ู‰ ู‡ู†ุฏุฑุณู‡ ุงู„ู„ู‰ ู‡ูˆ ุงุณู…ู‡ ุงู„ู€ Yule Walker
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Equations ู‡ู†ู‚ูˆู„ ุดูˆ ู‡ูŠ ุงู„ Yule Walker Equations
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ูˆู„ูƒู† ู†ุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุงู„ Yule Walker Equations can
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be used to derive the partial autocorrelation
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function ุงูˆ coefficients ุนููˆุง ุงู„ lags 1 ูˆ 2 ูˆ ู‡ูƒุฐุง
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ุญุชู‰ ุงู„ lag h as follows ุงู„ุฎุทูˆุงุช ุงู„ู„ู‰ ู‡ู†ุนู…ู„ู‡ุง ุฎุทูˆุฉ
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ุชุงู†ูŠุฉ ู„ู„ Yule Walker ุฃูˆู„ ุฎุทูˆุฉ ุนุดุงู† ู†ู‚ุฏุฑ ุทุจุนุง ุงู„
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partial autocorrelation functionู‡ูˆ ุงู„ุฎุทูˆุฉ you fit
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the regression model where the dependent variable
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ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ dependent ูŠุนู†ูŠ ุงู„ู…ุชุบูŠุฑ ุงู„ู„ูŠ ู‡ูˆ
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ุงู„ุชุงุจุน ููŠ ุงู„ุงู†ุญุถุงุฑ ุฃู‡ .. ุฃู„ุง ุฃู†ุชูˆุง ูƒู„ูƒูˆุง ุญุชู‰ ููŠ ุงู„
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.. ุจุนูŠุฏุง ุนู† ุงู„ุฌุงู…ุนุฉ ุฃุฎุฏุชูˆุง ููŠ ุงู„ .. ููŠ ุชูˆุฌูŠู‡ูŠ ุฃูˆ
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ุชุงู†ูŠ ุซุงู†ูˆูŠ ุฃุฎุฏุชูˆุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุงู†ุญุถุงุฑ ูŠูƒูˆู† ู„ุฏูŠู†ุง
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ู…ุชุบูŠุฑูŠู† ุชุงุจุน ูˆ ู…ุณุชู‚ู„ ุงู„ู…ู‡ู… ู‡ู†ุง ุงู„ุงู†ุญุถุงุฑ ุงู„ู„ูŠ ุญุฏ ู…ุง
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ู‡ูŠูƒ ููƒุฑุชู‡ูŠุนู†ูŠ ุงู†ู‡ ุจุฏูƒูˆู† ุนู†ุฏูƒ ุงู„ุงู† ู…ุชุบูŠุฑ ุงู„ุชุงุจุน
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ุจุชุนู…ู„ูŠ ุงู„ู„ูŠ ู‡ูˆ ูŠุนูŠุด ุนู„ุงู‚ุฉ ุฎุทูŠุฉ ู…ุน ู…ูŠู† ู…ุน ุงู„ู…ุชุบูŠุฑ
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ุงู„ู…ุณุชู‚ู„ ู„ูˆ ูƒุงู† ูˆุงุญุฏ ู„ูˆ ูƒุงู† ู…ุชุบูŠุฑุงุช ู…ุณุชู‚ู„ุฉ ุจุชุนู…ู„ูŠ
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ู‡ุฏูˆู„ ุงู„ู…ุชุบูŠุฑุงุช ุงู„ู…ุณุชู‚ู„ุฉ ุนู„ุงู‚ุฉ ุฎุฑูŠุทูŠุฉ ุชุฑุจุทู‡ู… ู…ุน ุจุนุถ
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ู„ุชู†ุจุค ู‚ูŠู…ุฉ ุงู„ู…ูŠู† ุงู„ุชุงุจุน ูŠุจู‚ู‰ ุงุญู†ุง ุจู†ุนุชุจุฑ ุงู„
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dependent ูุงุฑุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุงุจุน ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงุณู…ู‡ XT
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ูˆ ู‡ุฐุง ุงู„ dependent variable ุงู„ mean ุชุจุนู‡ zero ูˆ
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ู„ุงุฒู… ูŠูƒูˆู† ู…ู† ูˆูŠู† ุฌุงูŠ ู…ุณุชุดูŠู† ุงู„ process ุนุดุงู† ูŠูƒูˆู†
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ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃู…ูˆุฑ ู…ุง .. ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ variance
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ู…ุงูŠูƒูˆู†ุด ูŠุนู†ูŠ ุงู†ุชูˆุง ูุงู‡ู…ูŠู†ุŒ ู…ุงูŠูƒูˆู†ุด ููŠู‡ ุชุฐุจุฐุจ ุดุฏูŠุฏ
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ูุจู†ุนู…ู„ู‡ regress .. regress ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ู…ู† ุงู„ H
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-Lagged variables ุงู„ู„ูŠ ู‡ู… ู‡ุฏูˆู„ุฉ ุงู„ independent
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ู‡ุฏูˆู„ุฉ ู‡ู… ุงู„ independent ูŠุนู†ูŠ ูŠุง ุจู†ุงุช ุฃู‚ูˆู„ูƒูˆุง ููŠ
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ุงู„ุงู†ุญุถุงุฑ ูƒูŠู ูƒุงู† ุจูŠุตูŠุฑ ุจูŠูƒูˆู† ุนู†ุฏูƒ ู…ุชุบูŠุฑ ุงุณู…ู‡ ..
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ุชุงุจุน ุงุณู…ู‡ ู…ุซู„ุง ุงู„ .. ุงู„ุทูˆู„ ุฃูˆ ุงู„ูˆุฒู† ุฎู„ูŠู†ุง ู†ู‚ูˆู„
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ุงู„ูˆุฒู† ูˆู…ุชุบูŠุฑุงุช ู…ุณุชู‚ู„ุฉ ุฃุฎุฑู‰ ู‡ูŠ ุนุชุงุก ู…ุณุชู‚ู„ุฉ ุงู„ู„ูŠ ู‡ูŠ
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ุฅูŠุด ุงุณู…ู‡ุง ู…ุซู„ุง ุงู„ุนู…ุฑ ุงู„ูˆุฒู† ุญุงุฌุฉ .. ุฅูŠุดุŸุงู„ุทูˆู„ ู…ุงู†ุง
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ู‡ูˆ ุงู„ู„ูŠ .. ู„ุฃ ุนููˆู‹ุง ุงู„ูˆุฒู† ู‡ูˆ ุงู„ dependentุŒ ุฃู†ุง
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ู…ุชุฃุซุฑุŒ ุงู„ dependent ู‡ูˆ ุงู„ูˆุฒู†ุŒ ูุจุฏู‰ ุงุชู†ุจุฃ ุงู„ูˆุฒู† ู…ู†
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ุฎู„ุงู„ ู…ุนุฑูุชูŠ ู„ู…ูŠู†ุŒ ุงู„ู…ุชุบูŠุฑุงุช ู…ุณุชู‚ู„ุฉุŒ ู…ุงู† ู‡ูŠ
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ุงู„ู…ุชุบูŠุฑุงุช ุงู„ู…ุณุชู‚ู„ุฉ ู…ุซู„ุงุŸ ุทูˆู„ุŒ ุงู„ุนู…ุฑุŒ ุฅูŠุด ููŠู‡ ูƒู…ุงู†
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ู…ู…ูƒู† ูŠูƒูˆู†ุŸูŠุนู†ูŠ ู…ุนูŠู‘ุฉ ุทูˆู„ ุงู„ุนู…ุฑ ู…ุชุบูŠุฑูŠู† ู…ู…ูƒู† ูŠูƒูˆู†
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ุฃูƒุชุฑ ุชู…ุงู… ูุฅุฐุง ุงุญู†ุง ุจุฏู†ุง ู†ุนู…ู„ regress ู„ XT ุนู„ู‰ ู…ูŠู†
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ุนู„ู‰ XT ู†ุงู‚ุต ูˆุงุญุฏ XT ู†ุงู‚ุต ุงุชู†ูŠู† ูˆ ู‡ูƒุฐุง ุญุชู‰ ุฅูŠุด XT
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ู†ุงู‚ุต ุฅุชุด ู‡ุฐุง ู‡ูŠ ุงู„ุนู„ุงู‚ุฉ ุงู„ู„ูŠ ุจุชุฑุจุทู‡ู… XT ูŠุณุงูˆูŠ ุงู„ุขู†
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ู…ูŠู† ู‡ูŠ Phi ู‡ุฐูŠ Phi ุจุฏู„ ู…ุง ุฃุณู…ูŠู‡ุง Phi I ุณู…ูŠุชู‡ุง ุงู„ุขู†
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ุจุณ ู…ูŠู† Phi H ูˆ ูˆุงุญุฏ ุนุดุงู† ูŠุง ุจู†ุงุช ุงู„ุนู„ุงู‚ุฉ ุจุชุฑุจุท ู…ูŠู†
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ุนุฏุฏ ู…ุชุบูŠุฑุงุช ูƒู„ุงุชู‡ู…ูŠูƒูˆู† ุนุฏุฏู‡ู… ูƒู„ู‡ู… ุนู„ู‰ ุจุนุถ H ูุฅุฐุง
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ู†ูŠุฌูŠ ุนู„ู‰ ุญุฑู ุงู„ H ู…ู† ู‡ู†ุง ุงู„ุฑู…ุฒ ุจุฌุฑุจ ุฑู…ุฒ ู…ุด ู‡ูƒุชุฑ ููŠ
65
00:04:25,440 --> 00:04:30,120
ูˆุงุญุฏ XT ู†ุงุฌุณ ูˆุงุญุฏ ุฒุงุฏ ููŠ ุชู†ูŠู† XT ู†ุงุฌุณ ุงุชู†ูŠู† ุชู†ุณูŠุด
66
00:04:30,120 --> 00:04:38,100
ุงู† ู‡ูˆ H ู‡ู†ุง ู„ุญุฏ ุฏูŠ ููŠ ู…ูŠู† H XT ู†ุงุฌุณ H ุฒุงุฏ YT ุทุจุนุง
67
00:04:38,100 --> 00:04:43,100
ุงู†ุง ุงู‚ุตุฏ ููŠ H ุงู†ุง ุงู‚ุตุฏ ููŠู‡ุง ู…ูŠู† ููŠ H ูˆ H ุชู…ุงู… ู‡ู‰ุŸ
68
00:04:43,730 --> 00:04:47,250
ุฅุฐุง ุงู„ุฎุทูˆุฉ ุงู„ุฃูˆู„ู‰ ุจู†ุนู…ู„ ุงู†ุญุถุงุฑ ู‡ุฐุง ูˆ ุจู†ู‚ูˆู„ ุนู„ู‰
69
00:04:47,250 --> 00:04:50,010
ุงู„ู„ู‰ ู‡ูˆ ุงู„ู€ Phi H ูˆ H ู‡ู… ุนุจุงุฑุฉ ุนู† ุงู„ regression
70
00:04:50,010 --> 00:04:53,450
parameters ูˆ ุงู„ epsilon T ุงู„ู„ู‰ ุจุชุนุฑููˆู‡ุง ูƒู„ ุฅูŠุงุฏูƒูˆุง
71
00:04:53,450 --> 00:04:58,090
ุงู„ู„ู‰ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุญุฏ ุงู„ุฎุทุฃ ุงู„ุนุดูˆุงุฆูŠ ุงู„ู„ู‰ ูˆุณุท ุญุณุงุจูŠ
72
00:04:58,090 --> 00:05:00,730
ุทุจุนู‡ ุงู„ุฃุจู†ุงุก ุงู„ู…ุนุฑูˆู ุฃู†ู‡ ุฏุงูŠู…ุง ู†ูุฑุถู‡ ูุฑุถุง ุฃู†ู‡
73
00:05:00,730 --> 00:05:05,870
ุจุณุงูˆูŠ ุดูˆุฉ zero ูˆ ู„ุงุฒู… ูŠูƒูˆู†ูˆุง ู…ุงู„ู‡ู…ุบูŠุฑ ู…ุฑุชุจุทุงุช ู…ุน
74
00:05:05,870 --> 00:05:10,130
ู…ูŠู†ุŸ ู…ุน ุจุนุถู‡ุง ุงู„ุจุนุถ ูˆ ุบูŠุฑ ู…ุฑุชุจุทุงุช ุฃูŠุถุง ู…ุน ู…ูŠู†ุŸ ู…ุน
75
00:05:10,130 --> 00:05:13,650
ุงู„ XT ู†ุงุฌุณ ุงู„ H ูŠุนู†ูŠ ุนู†ุฏ ุงุฎุชู„ุงู ุงู„ุฃุฒู…ู†ุฉ T ู†ุงุฌุณ ุงู„
76
00:05:13,650 --> 00:05:18,590
H ู…ุน ุงู„ YT ู…ุธุจูˆุท ู„ุงุฒู… ู…ุงูŠูƒูˆู†ุด ููŠ ุงุฑุชุจุงุท ูˆุงุถุญ ู‡ุฐุง
77
00:05:19,630 --> 00:05:22,810
ุฅุฐุง ุงู„ุฎุทูˆุฉ ุงู„ุฃูˆู„ู‰ ู‡ูŠ ุนู…ู„ุชูˆุง ุงู„ุงู†ุญุถุงุฑ ุงู„ู„ู‰ ุจุฑุจุท Xt
78
00:05:22,810 --> 00:05:27,850
ู…ุน ู…ูŠู† ู…ุน Xt ู†ุงู‚ุต ูˆุงุญุฏ ุญุชู‰ Xt ู†ุงู‚ุต H ุงู„ุฎุทูˆุฉ
79
00:05:27,850 --> 00:05:30,970
ุงู„ุชุงู†ูŠุฉ ุงู„ู„ู‰ ุนุดุงู† ู†ุญุตู„ ุนู„ู‰ ุงู„ Yule Walker
80
00:05:30,970 --> 00:05:33,590
equations ูˆู…ู† ู‡ู†ุง ุจู†ุญุตู„ ุนู„ู‰ ุงู„ Yule Walker
81
00:05:33,590 --> 00:05:38,270
equations ุฃู†ู‡ ุจู†ุฑูˆุญ ูŠุงุจุงู†ุง ุจู†ุถุฑุจ ูƒู„ ู…ุนุงุฏู„ุฉ ู…ู† ู‡ุฏูˆู„
82
00:05:38,270 --> 00:05:43,370
ุฃูˆ ู‡ูŠ ู…ุนุงุฏู„ุฉ ูˆุงุญุฏุฉ ุจู†ุถุฑุจู‡ุง ุจ Xt ู†ุงู‚ุต ูˆุงุญุฏ ู‡ุฐุง
83
00:05:43,370 --> 00:05:45,870
ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ู‰ ุดุงูŠููŠู†ู‡ุง ุฃู…ุงู…ูƒ ุนู„ู‰ ุงู„ูƒู…ุจูŠูˆุชุฑ ุจู†ุถุฑุจู‡ุง
84
00:05:45,870 --> 00:05:49,880
ููŠ Xt ู†ุงู‚ุต ูˆุงุญุฏูˆ ุจู†ุฑูˆุญ ูˆ ุจู†ุงุฎุฏู„ู‡ุง ุงู„ .. ุงู„ู„ูŠ ู‡ูˆ
85
00:05:49,880 --> 00:05:54,100
ู…ูŠู† ุงู„ covariance ูˆ ุจุนุฏ ู…ุง ู†ุงุฎุฏู„ู‡ู… ุงู„ covariance
86
00:05:54,100 --> 00:05:57,460
ุจู†ุฑูˆุญ ู†ู‚ุณู…ู‡ุง ุนู„ู‰ ุงู„ variance ุนุดุงู† ูŠุนุทูŠู†ุง ุงู„ raw
87
00:05:57,460 --> 00:06:01,500
ูู„ูˆ ุฃู†ุง ุนู…ู„ุชู‡ุง ุนู„ู‰ ุฃู…ุงู…ูƒ ูˆ ู‡ุฐู‡ ุงู„ุขู† ุทู„ุนูˆุง .. ุญุชู‰
88
00:06:01,500 --> 00:06:05,200
ู†ุจู„ุด ุฃูˆู„ ูˆุงุญุฏุฉ ู…ุถุฑุจูŠู„ูŠ ุจุงู„ู„ู‡ ุจ XT ู†ุงุฌุณ ูˆุงุญุฏ ุฃูŠู‡ุŸ
89
00:06:05,200 --> 00:06:10,360
ูŠู„ุง ุฅูŠุด ุจูŠุตูŠุฑ ู‡ุฐู‡ุŸ XT ู…ุถุฑูˆุจุฉ ููŠ ู…ูŠู†ุŸ XT ู†ุงุฌุณ ูˆุงุญุฏ
90
00:06:10,360 --> 00:06:14,100
ุจุงู„ู„ู‡ ุชู‚ุฏุฑูŠู„ูŠ ุงู„ covariance ุฅูŠุด ุงู„ูุฑู‚ ุจูŠู† ุงู„ุฃุฒู…ู†ุฉ
91
00:06:14,100 --> 00:06:17,750
ู‡ู†ุงุŸ ูƒุงู… ุฒู…ุงู†ุŸูˆุงุญุฏ ูŠุนู†ูŠ ู‡ู†ุง ุงู„ covariance ู…ุงู„ู‡
92
00:06:17,750 --> 00:06:21,910
ูˆุงุญุฏ ุงู„ู„ูŠ ุฏู‡ ุงูƒุชุจู‡ ูˆุงุญุฏ ู…ุตุจูˆุญ ู„ู…ุง ุชู‚ุณู…ูˆู‡ ุนู„ู‰ ุงู„
93
00:06:21,910 --> 00:06:26,190
variance ุจุฑุงููˆ ุนู„ูŠูƒ ุจูŠุนุทูŠู†ูŠ role ูˆุงุญุฏ ุฅุฐุง ู‡ุฏูŠ ุทู„ุนุช
94
00:06:26,190 --> 00:06:30,090
role ูˆุงุญุฏ ุตุญ ูŠุณุงูˆูŠ ูŠุงู„ุง ู…ูŠู† ุชู‚ูˆู„ูŠ ู‡ุฏูŠ ุฅูŠุด ุจูŠุตูŠุฑ
95
00:06:30,090 --> 00:06:35,910
ู„ู…ุง ุชุงุฎุฏูŠ XT ู†ุงุฌุณ ูˆุงุญุฏ ุชุถุฑุจูŠู‡ุง ููŠ ู†ูุณู‡ุง ู‡ุชุทู„ุน ุงู„
96
00:06:35,910 --> 00:06:39,110
variance ุงู‚ุณู…ูŠ ุนู„ู‰ ุงู„ variance ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูˆ role
97
00:06:39,110 --> 00:06:46,350
zero ู†ูŠุญ ุฅุฐุง ุงู„ุฌูˆุงุจ ู‡ุฏูŠ ุจุชุทู„ุน ุจุณ ู…ูŠู†ูุงูŠ H ูˆุงุญุฏ
98
00:06:46,350 --> 00:06:53,070
ู…ุตุจูˆุญุŸ ุจุนุฏูŠู† ู‡ู„ุฃ ู‡ุฐูŠ ุจุชุถุฑุจูŠู‡ุง ููŠ XT ู†ุงู‚ุต ุงุชู†ูŠู† ู„ุฃ
99
00:06:53,070 --> 00:06:58,290
ุจูŠุทู„ุน covariance ุงู„ุณุงู„ุจ ูˆุงุญุฏ ู…ุด ุงู„ covariance ..
100
00:06:58,290 --> 00:07:01,490
ู‚ูˆู„ู†ุง ุงู„ symmetric ุฅุฐุง ุจุชุฐูƒุฑู‡ ู covariance ุงู„ุณุงู„ุจ
101
00:07:01,490 --> 00:07:05,990
ูˆุงุญุฏ ู‡ูˆ ู†ูุณู‡ covariance ุงู„ูˆุงุญุฏ ู„ู…ุง ุชู‚ุณู…ูˆู‡ ุนู„ู‰ ุงู„
102
00:07:05,990 --> 00:07:09,990
variance ุงู„ุงู† role ูˆุงุญุฏ ุฅุฐุง ู‡ุฐูŠ role ูˆุงุญุฏ ู…ูŠู† ุงู„ู„ูŠ
103
00:07:09,990 --> 00:07:15,660
ุจุนูŠุฏู‡ุง ูŠุง ุจู†ุงุช ููƒุฑูƒูˆุงุŸุงู„ู„ูŠ ู‡ู‰ Xt-3 ู„ู…ุง ุชุถุฑุจูŠู‡ุง ููŠ
104
00:07:15,660 --> 00:07:20,900
Xt-1 ุงูŠู‡ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุฒู…ุงู†ูŠู† ุตุญ Xู…ูŠู† ู‡ูŠ ุนู„ู‰ ุงู„
105
00:07:20,900 --> 00:07:25,560
variance ุฑูˆุช ุชู†ูŠู† ุนู„ู… ูˆ ู‡ูƒุฐุง ู‡ุฐูŠ ู„ู…ุง ุถุฑุจู†ุงู‡ุง ููŠ
106
00:07:25,560 --> 00:07:30,600
ู…ูŠู† ููŠ Xt-1 ุดูˆ ุฑุงูŠุฒูŠ ู†ุถุฑุจู‡ุง ูƒู…ุงู† ู…ุฑุฉ ููŠ Xt-2 ูˆ
107
00:07:30,600 --> 00:07:34,940
ู†ุนู…ู„ ุงู„ุดุบู„ ุฐุงุช ู†ูุณู‡ ูŠู„ุง ู†ุนู…ู„ู‡ุง ูƒู…ุงู† ู…ุฑุฉ ู†ุถุฑุจู‡ุง ููŠ
108
00:07:34,940 --> 00:07:41,730
Xt-2 ุฎู„ุตู†ุง ู…ู† Xt-1 ูŠู„ุง ู†ุนู…ู„ู‡ุง ุจ Xt-2 ุฃูˆู„ ูˆุงุญุฏุฉู„ู…ุง
109
00:07:41,730 --> 00:07:45,190
ุชู‚ุณู…ูŠู‡ุง ุชุถุฑุจูŠู‡ุง ููŠ XT-2 ุฎุฏูŠู‡ุง covariance ูˆ ุงู‚ุณู…ูŠู‡ุง
110
00:07:45,190 --> 00:07:49,470
ุนู„ู‰ ุงู„ variance ูˆ ุฑูˆุฉ 2 ุจุฑุงููˆ ุนู„ูŠูƒ ูˆ ู‡ุง ุฏูŠ ุฑูˆุฉ
111
00:07:49,470 --> 00:07:54,590
ุงู„ูˆุงุญุฏ ุชู†ุณูŠุด ู…ุถุฑูˆุจู‡ุง ููŠ ุงู„ูุงูŠ ุจุนุฏูŠู‡ุง ุฑูˆุฉ ุงู„ zero
112
00:07:54,590 --> 00:07:59,870
ุงู„ู„ูŠ ู‡ูŠ ูˆุงุญุฏ ุจุฑุงููˆ ูƒู…ู„ูˆุง ู‡ูƒุฐุง ู…ูŠู† ุฃุฎุฑ ูˆุงุญุฏุฉ XT-2
113
00:07:59,870 --> 00:08:02,510
ู…ุน XT-H ูƒุชุด ูุงุฑู‚ ุจูŠู†ู‡ู…
114
00:08:06,220 --> 00:08:10,400
ุฃูŠูˆุฉ H ู†ุงู‚ุต ุงุชู†ูŠุฉ ุจุงู„ู…ู†ุงุณุจุฉ ุงู„ุฃูˆู„ู‰ H ูƒุงู†ุช ุจูŠุณุงูˆูŠ H
115
00:08:10,400 --> 00:08:17,300
ู†ุงู‚ุต ูˆุงุญุฏ ู‡ู†ุงุด H ู†ุงู‚ุต ุงุชู†ูŠุฉ ุซู… ุจุนุฏ ุฐู„ูƒ ุจุณ ุชุฎู„ุต ู…ู†
116
00:08:17,300 --> 00:08:21,220
X ู†ุงู‚ุต ุงุชู†ูŠุฉ T ู†ุงู‚ุต ุงุชู†ูŠุฉ ุดูˆ ุจุชุนู…ู„ูŠู‡ุง T ู†ุงู‚ุต ุซู„ุงุซุฉ
117
00:08:21,220 --> 00:08:26,000
ูˆ ู‡ูƒุฐุง ุญุชู‰ ู…ูŠู† ู‡ุชุงู†ูŠ ุนู…ุงู„ ุฃุฎุฑ ูˆุงุญุฏุฉ ุงู„ู„ูŠ ู‡ูŠ ู…ูŠู† T
118
00:08:26,000 --> 00:08:30,040
ู†ุงู‚ุต ุงุชู†ูŠุฉ ูŠู„ุง ุถุฑุจูŠู‡ ู„ูƒู„ ูˆุงุญุฏุฉ ููŠ ู‡ุฏูˆู„ุฉ ุจ X T ู†ุงู‚ุต
119
00:08:30,040 --> 00:08:32,760
ุงู„ H ูˆ ุฎุฏ ุงู„ covariance ูˆ ุซู… ุงู‚ุณู… ุนู„ู‰ ุงู„variant
120
00:08:32,760 --> 00:08:38,300
ู‡ุฐูŠ ู‡ุชูƒูˆู† roll H ุดูˆู ุชุณุงูˆูŠูุงูŠ .. ุงู„ูุงูŠ ุฒูŠ ู…ุง ู‡ูˆ
121
00:08:38,300 --> 00:08:45,240
ุงู„ุซุงุจุช ููŠ ู…ูŠู†ุŸ ุงู‡ H ู†ุงุฌุณ ูˆุงุญุฏ ุตุญ ุฑูˆู„ H ู†ุงุฌุณ ูˆุงุญุฏ
122
00:08:45,240 --> 00:08:50,180
ุตุฏู‚ุชูŠ ุจุนุฏูŠู† ุฑูˆู„ H ู†ุงุฌุณ ุงุชู†ูŠุฉ ู…ุถุฑุจุฉ ููŠ ุงู„ูุงูŠู„ ู„ุญุฏ
123
00:08:50,180 --> 00:08:55,440
ุงุช ู…ูŠู†ุŸ ุงู‡ ุงุฎุฑ ูˆุงุญุฏ ุฑูˆุฒ ุฒูŠุฑูˆ ู†ูŠุญ ู‡ุฏูˆู„ ู‡ู… ุงู„ yule
124
00:08:55,440 --> 00:09:00,370
walker ู‡ู… ุงู„ู„ูŠ ุงู†ุชูˆุง ุนู…ู„ุชูˆู‡ู…ุทุจุนุง ุจุงู„ู…ู†ุงุณุจุฉ ุงู„ yule
125
00:09:00,370 --> 00:09:04,930
walker ุจูŠุนุฑููˆู‡ ุจุฏู„ุงู„ุฉ ุงู„ covariance ูˆ ู„ูŠุณ ุงู„ auto
126
00:09:04,930 --> 00:09:07,190
correlation ู…ุด ู…ุดูƒู„ุฉ ุงู„ auto correlation ุงูˆ ุงู„
127
00:09:07,190 --> 00:09:12,110
auto covariance ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุงู†ูƒ ุชู‚ุณู…ูŠ ุนุงู„ู…ูŠุง ุน
128
00:09:12,110 --> 00:09:16,590
ุงู„ variance ูˆ ู„ุฐู„ูƒ ุจูŠุตูŠุฑ ุงู†ู‡ ู†ุณู…ูŠ ู‡ุฏูˆู„ ู‡ู… ุงู„ yule
129
00:09:16,590 --> 00:09:20,260
walker equationsูˆ ู„ุฐู„ูƒ ุงู„ yule worker equations
130
00:09:20,260 --> 00:09:23,860
ุงู„ู„ูŠ ุงุฌูˆุง ู…ู† ุฎู„ุงู„ ุงู„ auto-regressive of order H ูˆ
131
00:09:23,860 --> 00:09:28,120
ุงู„ H ู‡ุฐู‡ ู…ุฌุฑุฏ ุฑู…ุฒุฉ ู„ุฃู†ู‡ ุนุจุงุฑุฉ ุนู† ู…ุงุดูŠ H ู…ุตุจูˆุน ู‡ู…
132
00:09:28,120 --> 00:09:31,180
ู‡ุฏูˆู„ ุงู„ู„ูŠ ุงู†ุชูˆุง ุดูˆูˆุดูˆุง ููŠ ู†ู‡ุฑ ูƒูŠู ุฃูˆู„ ู…ุฑุฉ ุนุงุฏูŠุฉ ุจุณ
133
00:09:31,180 --> 00:09:34,820
ุนุดุงู† ุงู„ุณุฑูŠุน ุฃูˆู„ ูˆุงุญุฏุฉ ูƒูŠู ุญุตู„ุชูˆุง ุนู„ูŠู‡ุง ุงู†ุชูˆุง ู„ู…ุง
134
00:09:34,820 --> 00:09:38,680
ุถุฑุจุชูˆุง ุงู„ auto-regressive model ุจู…ูŠู† XT-YR ุฎุฏุชูˆู„ู‡
135
00:09:38,680 --> 00:09:41,240
covariance ุฃูˆ auto-covariance ู‚ุณู…ุชูˆุงู‡ุง variance
136
00:09:41,240 --> 00:09:46,070
ุทู„ุนุช ู‡ุงูŠ and so on ูˆ ุณู‡ู„ุฏู‡ ุณุคุงู„ูƒูˆุง ูŠุง ุจู†ุงุช ุงู†ุชูˆุง
137
00:09:46,070 --> 00:09:49,990
ุฃุฎุฏุชูˆุง ุฌุจุฑ ุฎุท ู„ูŠู†ูŠุงู„ ุฃู„ุฌุจุฑุง ุจุชุจู‚ู‰ ุนุงุฑููˆู† ุชุนู…ู„ูˆู„ูŠ
138
00:09:49,990 --> 00:09:53,430
ู‡ุฐุง as a linear system ax ุญูŠุซ ุฃู† ุงู„ a matrix ูˆ ุงู„
139
00:09:53,430 --> 00:09:57,890
x ู‡ูˆ ุงู„ coefficients ุชุจุน ุนููˆุง ุงู„ variables ูˆ ุงู„ b
140
00:09:57,890 --> 00:10:04,450
ู‡ูˆ ุงู„ coefficients ูŠู„ุง ุงุนู…ู„ูˆู„ูŠ ูƒูŠู ู‡ุฐุง ุงุนู…ู„ูˆู„ูŠ as
141
00:10:04,450 --> 00:10:09,870
ax ุจุณูˆุฉ b ู‡ุงูŠ ุตุญุŸ
142
00:10:10,820 --> 00:10:13,720
ู‡ู„ุง ุดูˆ ุฑุฃูŠูƒ ุชูุฑุถูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ vector P ู‡ุฐุง ุงู„
143
00:10:13,720 --> 00:10:21,520
vector P ู‡ูˆ ุงู„ rows ู‡ุงูŠู‡ู… ุตุญุŸ ูˆ ุงู„ vector X ู‡ูˆ ู…ู†
144
00:10:21,520 --> 00:10:28,260
ุงู„ูุงูŠุฒ ุงู„ูุงูŠู„ุงุช ู…ู† ูˆูŠู†ุŸ ูุงูŠ ูˆุงุญุฏ ุงู„ู„ูŠ ุญุฏุฏุช ู…ู†
145
00:10:28,260 --> 00:10:33,360
ูุงูŠู„ุงุช ูˆ ุงู„ matrix ู…ู† ู‡ูŠูƒูˆู† ู‡ูˆ ุงู„ coefficients
146
00:10:33,360 --> 00:10:38,920
ุชู…ุนุงุชู‡ ู‡ูŠ ู‡ุงูŠ ุทุจุนุง ุฃูˆู„ ูˆุงุญุฏุฉ ู‡ูŠ row zeroู†ุนู… ูˆ
147
00:10:38,920 --> 00:10:42,940
ู‡ูƒุฐุงุŒ ุฅุฐุง ุงู†ุชูˆุง ูˆุงุถุญูˆุง ู„ุฅู„ูƒูˆุง ุฅู†ู‡ ู‡ุฐุง ุงู„ system ู‡ูˆ
148
00:10:42,940 --> 00:10:46,380
ู†ูุณู‡ ุงู„ู„ูŠ ูƒุงู† ู‚ุจู„ ุดูˆูŠุฉ ุงู„ yule workers ู‡ู†ุงุŒ ุตุญุŸ
149
00:10:46,380 --> 00:10:50,060
ุงู„ู„ูŠ ูŠุง ุจู†ุงุช ุนุดุงู† ุชุฌูŠุจูˆุง .. ุชุฌูŠุจูˆุง ุงู„ููŠุงุช ู‡ุฏูˆู„ุฉุŒ
150
00:10:50,060 --> 00:10:54,460
ูŠุง ุจุชุฌูŠุจูˆุง ุงู„ู…ุนูƒูˆุณ ูˆ ุงู„ู…ุนูƒูˆุณ ู…ุนู‚ุฏุŒ ุตุญุŸ ูŠุง ุฅู…ุง
151
00:10:54,460 --> 00:10:58,140
ุจุชุณุชุฎุฏู…ูˆุง ุงู„ grammar rawุŒ ูŠุง ุฅู…ุง ููŠู…ุง ุจุนุฏ ู‡ู†ุณุชุฎุฏู…
152
00:10:58,140 --> 00:11:03,670
algorithm ุฌุฏูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ุงุณู…ู‡ .. ุงู„ู„ูŠ ู‡ูˆ ..Levinson
153
00:11:03,670 --> 00:11:08,110
.. Derbal Levinson ู‡ุฐุง algorithm ูˆ ุงู„ู„ูŠ ู‡ู†ุงุฎุฏู‡ ุงู†
154
00:11:08,110 --> 00:11:11,470
ุดุงุก ุงู„ู„ู‡ ูŠู‚ุน ู„ูˆ ุนุตุฑ ุงู„ูŠูˆู… ู†ู„ุญู‚ ู†ุงุฎุฏู‡ ู„ูƒู† ู…ุงุฎุฏู†ุงุด
155
00:11:11,470 --> 00:11:15,090
ุงู„ูŠูˆู… ู„ู…ุง ุญุถุฑ ุงู„ุฌูŠุงุจ ู†ุงุฎุฏู‡ ุงู† ุดุงุก ุงู„ู„ู‡ ูˆ ู„ุฐู„ูƒ ุฃูˆู„
156
00:11:15,090 --> 00:11:18,030
ุฎุทูˆุฉ ุฃู†ูƒูˆุง ุชููƒุฑูˆุง ุฃู†ูƒูˆุง ุชุฌูŠุจูˆุง ุงู„ููŠุงุช ู‡ุฏูˆู„ุฉ ู…ู†
157
00:11:18,030 --> 00:11:21,290
ุฎู„ุงู„ ุงู„ุชุฎู„ุต ู…ู† ุงู„ู…ุนูƒูˆุณ ุชุจุน ุงู„ู…ุณู„ุญุฉ work inside
158
00:11:21,290 --> 00:11:26,660
naked ุณูŠุจูƒูŠ ู…ู†ู‡ูู…ุด ุนู…ู„ูŠ ุงู†ู‡ ู†ุฌูŠุจ ุงู„ .. ุนุดุงู† ุงุญู†ุง
159
00:11:26,660 --> 00:11:29,940
ุงู„ุตุฑุงุญุฉ ู‡ูŠุทูˆู„ ู…ุนุงูŠุง ุงู„ matrix ูู†ุณุชุฎุฏู… grammar Raw
160
00:11:29,940 --> 00:11:32,120
ุดูˆ ุฑุฃูŠูƒูˆุง ุจ grammar Raw ุงู„ู„ูŠ ุงุชุนู„ู…ู†ุงู‡ุง ุงู„ู…ุญุงุถุฑุฉ
161
00:11:32,120 --> 00:11:36,320
ุงู„ุณุงุจู‚ุฉุŒ ู…ู†ูŠุญุŸ ูŠุงู„ุง ูŠุง ุจู†ุงุช ู„ูˆ ุจุฏู‡ ุงุฌูŠุจ file ูˆุงุญุฏ
162
00:11:36,320 --> 00:11:43,380
ุงูˆ .. ุงุชุด ูˆุงุญุฏ ุนููˆุง ูŠุงู„ุง ุจ grammar Rawุจุณ ุงู†ุง ู‡ุฑูŠุญูƒ
163
00:11:43,380 --> 00:11:48,200
ุงู†ุช ุนุดุงู† ุชุฌูŠุจ ููŠ ุงุชุด ูˆุงุญุฏ ู…ุงููŠุด ุฏุงุนูŠ ุชุฌูŠุจ ู…ุนุงุฏู„ุฉ
164
00:11:48,200 --> 00:11:52,300
ุงู„ุงู†ุญุถุงุฑ ุงู„ู„ูŠ ู„ุญุฏ ุงู„ order ุงุชุด ุงุฌูŠุจ ูˆุงุญุฏุฉ ูˆ ุฎู„ุงุต
165
00:11:52,300 --> 00:11:56,940
ูŠุนู†ูŠ ู„ูˆ ุฑุฌุนู†ุง ู„ู„ุตูุญุฉ ุงู„ุณุงุจู‚ุฉ ู‡ุฐู‡ ุนุดุงู† ุงุฌูŠุจ ููŠ ุงุชุด
166
00:11:56,940 --> 00:12:00,740
ูˆ ูˆุงุญุฏ ูู‚ุท ููŠ ุงุนู…ู„ regression ู„ู…ูŠู†
167
00:12:07,010 --> 00:12:12,050
epsilon T ุงุนู…ู„ู‡ุง ู‡ูŠูƒ ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุงุด ุงู‚ูˆู„ ูู‚ุท ู…ุงููŠ
168
00:12:12,050 --> 00:12:16,310
ุฏุงุนูŠ ุงู†ูŠ ุงุนู…ู„ ู„ู„ุงุฎูŠุฑ ู„ุญุฏ ุฏูŠ ุงู„ H ูุจุงุดูŠ ุจู‚ูˆู„ XT
169
00:12:16,310 --> 00:12:23,210
ุชุณุงูˆูŠ Phi H ูˆ ูˆุงุญุฏ XT ู†ุงู‚ุต ูˆุงุญุฏ ุฒุงุฆุฏ epsilon T
170
00:12:23,210 --> 00:12:27,650
ุจุฑูˆุญ ุจุฏุฑุจ ู‡ุฏูˆู„ ูƒู„ ู‡ุฏู‡ู… ุจุฏุฑุจู‡ู… ููŠ ู…ูŠู† ููŠ ุงู„ .. ู„ูŠู‡
171
00:12:27,650 --> 00:12:32,260
ุงู„ work ู‡ุชููŠ Xt ู†ุงุฌุณ ูˆุงุญุฏ ุจุงุฎุฏ ู„ู‡ุง ุงู„ covariance
172
00:12:32,260 --> 00:12:36,780
ูˆู…ู† ุซู… ุจู‚ุณู…ู‡ุง ุนู„ู‰ ุงู„ variance ูุจูŠุนุทูŠูƒ ูŠู…ูŠู† ุฑูˆ
173
00:12:36,780 --> 00:12:44,080
ุงู„ูˆุงุญุฏ ุดูˆ ุจุชุณูˆูŠ ูุงูŠ H ูˆ ูˆุงุญุฏ ุฑูˆ ุงู„ุฒูŠุฑูˆ ุงู„ู„ูŠ ู‡ูŠ
174
00:12:44,080 --> 00:12:48,580
ูˆุงุญุฏ ุฒุงุฆุฏ ูˆ ู‡ุฐุง epsilon T ุงู„ covariance ุจูŠู†ู‡ุง ูˆ
175
00:12:48,580 --> 00:12:53,160
ุจูŠู† Xt ู†ุงุฌุณ ูˆุงุญุฏ ู…ุงู‡ูˆ ุงู„ covariance ุจูŠู†ู‡ุงุŸ Zero ูˆ
176
00:12:53,160 --> 00:12:56,260
ุงู„ variance ู„ู…ุง ุชู‚ุณู…ูŠู‡ุง ุนู„ู‰ ุงู„ variance ูู‡ูŠ ุจุทู„ุน
177
00:12:56,260 --> 00:13:00,790
ูƒู„ู‡ุง to zero ู…ุธุจูˆุทุŸูุตูุช ู‡ุงุฏูŠ ู‡ูŠ ู‡ุงุฏูŠ ู‡ูŠ ุฎู„ุตุชูŠุŒ
178
00:13:00,790 --> 00:13:04,930
ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ุญุชู‰ grammar ู…ุงููŠุด ุฏุงุนูŠุŒ grammar ุนุงุฏุฉ
179
00:13:04,930 --> 00:13:10,050
ุจุชุตูŠุฑ ู„ู…ุง ุงุทู„ุจ ู…ู†ูƒ ุฌูŠุจู„ูŠ ู…ุซู„ุง ู…ูŠู†ุŸ ููŠ ุงุชุด ูˆ ุงุชู†ูŠู†
180
00:13:10,050 --> 00:13:14,590
ุงูˆ ููŠ ุงุชุด ูˆ ุชู„ุงุชุฉ ูˆ ู‡ูƒุฐุง ู…ุซู„ุง ุจุฏูŠ ุงุฌูŠุจ ููŠ ุงุชุด ูˆ
181
00:13:14,590 --> 00:13:18,410
ุงุชู†ูŠู† ูŠู„ุง ูƒุงู… ู…ุนุงุฏู„ุฉ ู‡ุชุนู…ู„ูŠู‡ุŸ ุชู†ุชูŠู†ุŒ ุชู†ุชูŠู†ุŒ ู…ู†
182
00:13:18,410 --> 00:13:23,550
ู‡ู…ุงุŸ ุงู†ุง ุจุถุทุฑ ุงู…ุญูŠ ูŠุง ุจู†ุงุชูŠู„ุง ุงุนู…ู„ ู…ุนุงุฏู„ุชูŠู† ู…ู†
183
00:13:23,550 --> 00:13:29,670
ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃูˆู„ู‰ ุณุชูƒูˆู† Xt ุชุณุงูˆูŠ ูุงูŠ ุฅุชุด ูˆ ูˆุงุญุฏ Xt
184
00:13:29,670 --> 00:13:35,310
ู†ุงุฌุณ ูˆุงุญุฏ ุฒุงุฆุฏ ุงุญูƒู… ูุงูŠ ุฅุชุด ูˆ ุชู†ูŠู† Xt ู†ุงุฌุณ ุงุชู†ูŠู†
185
00:13:35,310 --> 00:13:39,070
ุฒุงุฆุฏ epsilon T ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ุฑูˆุญ
186
00:13:39,070 --> 00:13:44,260
ุงุถุฑุจู‡ุง ุงู„ุขู† ุจู…ูŠู† Xt ู†ุงุฌุณ ูˆุงุญุฏ ุตุญุŸุฃุฎุฏ ู„ู‡ุง ุงู„
187
00:13:44,260 --> 00:13:46,740
covariance ุฃู‚ุณู…ู‡ุง ุนู„ู‰ ุงู„ variance ูˆ ุฃุทู„ุน ุจู…ูŠู†
188
00:13:46,740 --> 00:13:50,580
ุจู…ุนุงุฏู„ุฉ ูˆ ู…ู† ุซู… ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃุฎุฑู‰ ุฃุถุฑุจู‡ุง ุจ XT ู†ุงุฌุณ
189
00:13:50,580 --> 00:13:53,900
ุงุชู†ูŠู† ุฃุฎุฏ ู„ู‡ุง ุงู„ covariance ุฃู‚ุณู…ู‡ุง ุนู„ู‰ ุงู„ variance
190
00:13:53,900 --> 00:13:58,200
ูˆ ุฃุทู„ุน ุจุงู„ ุฑูˆู‡ ุจุทู„ุน ุจู…ุนุงุฏู„ุชูŠู† ุตุญ ุงูƒุฑู…ู‡ุง ูŠุงู„ุง ู…ูŠู†
191
00:13:58,200 --> 00:14:01,300
ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃูˆู„ู‰ ู‡ุชุทู„ุน ู…ุนุงูƒูˆุง ู„ู…ุง ุชุถุฑุจูˆุง ููŠ XT ู†ุงุฌุณ
192
00:14:01,300 --> 00:14:07,720
ูˆุงุญุฏ ุฑูˆู‡ ุงู„ูˆุงุญุฏ ุดูˆ ุจุชุณูˆูŠ ูุงูŠ ุงุชุด ูˆ ูˆุงุญุฏ ู‡ุงุฏูŠ ุฑูˆู‡
193
00:14:07,720 --> 00:14:14,110
Zero ุฒูŠ .. ู…ุตุจูˆุทุŸูˆุงู„ู„ูŠ ุฃู†ุง ุบู„ุทุงู†ุŸ ู„ุฃ ุฑูˆุฒ ุฒูŠุฑูˆ ุฒุงุฆุฏ
194
00:14:14,110 --> 00:14:20,230
ุดูˆุฉ ูุงูŠุฉ ุงุชุด ูˆุงุชู†ูŠู† ุฑูˆ ุงู„ูˆุงุญุฏ ูˆุฏูŠูƒ ุทุจุนุง ู…ูŠู†ุŸ ุฒูŠุฑูˆ
195
00:14:20,230 --> 00:14:24,530
ู„ุฅู†ู‡ ุนู†ุฏ ุงุฎุชู„ุงู ุงู„ุฃุฒู…ู†ุฉ ูุงู„ุฅุจุณู„ูˆู† ู…ุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ X
196
00:14:24,530 --> 00:14:27,910
ููŠ ุงู„ุดูŠุจุงู†ุงุชู‡ู… ุงุฑุชุจุงุทุงุช ุชู…ุงู…ุŸ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ
197
00:14:27,910 --> 00:14:31,790
ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชุงู†ูŠุฉ ุจุชุญุตู„ ุนู„ูŠู‡ุง ู…ู† ุฎู„ุงู„ ุฃู†ูƒ ุชุถุฑุจูŠ ู‡ุฐู‡
198
00:14:31,790 --> 00:14:37,030
ุงู„ู…ุนุงุฏู„ุฉ ุจู…ูŠู† ุชุถุฑุจูŠู‡ุงุŸุจ XT ู†ุงู‚ุต ุงุชู†ูŠู† ุฎุฏ ุงู„
199
00:14:37,030 --> 00:14:40,630
covariance ู‚ุณู…ูŠู‡ุง ุงู„ variance XT ู†ุงู‚ุต ุงุชู†ูŠู† ุงู„ูุฑู‚
200
00:14:40,630 --> 00:14:44,670
ุจูŠู† ู‡ุฐู‡ ูˆ ุจูŠู† ู‡ุฐู‡ ุฒู…ุงู†ูŠุฉ ุตุญ ูุจุทู„ุน ุฑูˆุช ุชู†ูŠู† ุดูˆ
201
00:14:44,670 --> 00:14:52,670
ุจุชุณูˆูŠ five H ูˆุงุญุฏ roll ูˆุงุญุฏ ุฒุงุฏ five H ูˆ ุงุชู†ูŠู†
202
00:14:52,670 --> 00:14:57,810
roll zero ู‡ู„ุฃ ุฏูˆู„ ุงู„ู…ุนุงุฏู„ุชูŠู† ุนู„ู‰ ุงู„ linear system
203
00:14:57,810 --> 00:15:05,350
ุงู„ู„ูŠ ุดูุชูˆุงู‡ ุงู„ู„ูŠ ุณู…ูŠู†ุงู‡ ax ูŠุณูˆู‰ b ุตุญูŠู„ุง ู…ูŠู† ุงู„ a
204
00:15:05,350 --> 00:15:11,570
ุจุชูƒูˆู† ููƒุฑูƒูˆุง ูƒ matrixุŸ ู…ูŠู† ู‡ู… ุงุŸ ูˆุงุญุฏ .. ูˆุงุญุฏ ..
205
00:15:11,570 --> 00:15:19,210
ูˆุงุญุฏ .. ูˆุงุญุฏ .. ูˆุงุญุฏ .. ูˆุงุญุฏ
206
00:15:19,210 --> 00:15:28,800
ู…ุถุฑุจูŠู† ููŠ ู…ูŠู†ุŸ ููŠ ..H ูˆ 1 ูˆ 5 H ูˆ 2 ู‡ุฏูˆู„ ุดูˆ ุจูŠุณุงูˆูŠ
207
00:15:28,800 --> 00:15:33,660
ุฑูˆ ูˆุงุญุฏ ุฑูˆ ุงุชู†ูŠู† ู‡ู„ุฌูŠุช ุงู„ุงู† ุงู†ุง ุนุดุงู† ุจูƒุจู„ ููŠ ุฎุท
208
00:15:33,660 --> 00:15:37,440
ุนุดุงู† ูŠุจูŠู† ููŠ ุงู„ูƒุงู…ูŠุฑุง ูุดูƒู„ูŠ ุงู†ูŠ ุงู†ุง ูƒู†ุจุฑุช ุฒูŠุงุฏุฉ ุนู†
209
00:15:37,440 --> 00:15:41,960
ุงู„ zoomู‡ู„ุฃ ู‡ู†ุจู„ุด ู†ุนู…ู„ ููŠ ู…ูŠู† ุฃู†ุง ู…ุชุฃูƒุฏ ู…ู† ุฑูˆ ุงู„ H
210
00:15:41,960 --> 00:15:45,620
ูˆ 2 ู‡ู„ุฃ ุฑูˆ ุงู„ H ูˆ 2 ูŠู„ุง ุฏูŠ ุงู„ู„ูŠ ุจุฏูŠ ุฃุนู…ู„ู‡ุง ุฑูˆ H ูˆ
211
00:15:45,620 --> 00:15:53,300
2 ุดูˆ ุจุชุณูˆูŠ determinant A2 ุนู„ู‰ determinant ุงู„ A ูู‡ุฏ
212
00:15:53,300 --> 00:15:57,940
ุนุจุงุฑุฉ ุนู† ุงุญูƒูˆุง ุจุฑูุน ุงู„ุนู…ูˆุฏ ุงู„ุชุงู†ูŠ ู‡ุฏ ูˆุงุญุฏ ูˆ ุฑูˆ
213
00:15:57,940 --> 00:16:02,500
ูˆุงุญุฏ ูˆ ู‡ุฏ ุจุฑูุนู‡ู… ุดูˆ ุจุญุท ุจุฏุงู†ู‡ู… ุฑูˆ ูˆุงุญุฏ ูˆ ุฑูˆ ุงุชู†ูŠู†
214
00:16:02,500 --> 00:16:09,380
ุนู„ู‰ determinant ู„ู…ูŠู† ุงูˆ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุงูˆุงุญุฏ ูˆูˆุงุญุฏ ุฑูˆ
215
00:16:09,380 --> 00:16:14,740
ูˆุงุญุฏ ุฑูˆ ูˆุงุญุฏุŒ ู‡ุงุฏ ุฅูŠุด ุจุชุณูˆูŠู‡ุŸ ุฑูˆ ุงุชู†ูŠู†ุŒ ู‡ุงู‚ุต ุฑูˆ
216
00:16:14,740 --> 00:16:20,910
ูˆุงุญุฏุŒ ุชุฑุจูŠู‡ ุนู„ู‰ุŸูˆุงุญุฏ ู†ุงู‚ุต ุฑูˆ ูˆุงุญุฏ ุชุฑุจูŠู‡ ูˆู‡ุง ูƒุฐุง ู„ูˆ
217
00:16:20,910 --> 00:16:25,170
ุงู†ุง ุจุฏูŠ ุงุนู…ู„ ู…ุซู„ุง ูŠุง ุจู†ุงุช ุงุฌูŠุจ ููƒุฑูƒูˆุง ููŠ ุงู„ fi ูˆ h
218
00:16:25,170 --> 00:16:30,290
ูˆ 3 ุดูˆ ุจุณูˆูŠ ุงู„ุงู† ุงู†ุชูˆุง ู‚ูˆู„ูˆู„ูŠ ุดูˆ ุจุณูˆูŠ ุงู‡ ุจุณ ู„ุญุธุฉ
219
00:16:30,290 --> 00:16:34,470
ู…ุงุฌูŠุจู‡ุงุด ู…ู† ู‡ุฐู‡ ูƒุงู… ู…ุนุงุฏู„ุฉ ุญุงุฌูŠุฉ ุซู„ุงุซ ู…ุนุงุฏู„ุงุช
220
00:16:34,470 --> 00:16:40,190
ูˆุงุถุญุฉ and so on ูˆู„ุฐู„ูƒ ุงู†ุง ุงุณู…ุญูˆู„ูŠ ุงู†ุง ุงูˆุฑูŠูƒูˆุง
221
00:16:40,190 --> 00:16:45,700
ุจุงู„ุธุจุท ุงุด ุงู„ู„ูŠ ุจูŠุทู„ุน ู…ุนุงูŠุงู‡ุฐุง ู‡ูˆ ุงู„ system ููŠูˆุฒูŠ
222
00:16:45,700 --> 00:16:50,780
ูƒุฑุงู…ุฑ ุฑูˆู‡ recursively ูŠุนู†ูŠ ูˆุฑุง ุจุงุท ุนุงุฑููŠู† ุดู…ุนุฉ
223
00:16:50,780 --> 00:16:54,220
recursiveุŸ ูŠุนู†ูŠ ุงู„ุดูŠุก ุจูŠุฏ ุชุงุนุช ุฑุงุจุนุฉ ูŠุนู†ูŠ ู†ุนู…
224
00:16:54,220 --> 00:17:00,020
ูุจูŠุนุทูŠู†ูŠ ุงู„ file h ูˆ ูˆุงุญุฏ ุงู„ file ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ู‡ูŠ
225
00:17:00,020 --> 00:17:05,760
roll ูˆุงุญุฏ ุงู„ file ุชู„ูŠู† ูˆ ุชู†ูŠู† ู‡ุชุทู„ุน ู‡ุงู„ file ุชู„ุงุชุฉ
226
00:17:05,760 --> 00:17:09,860
ูˆ ุชู„ุงุชุฉ ู‡ู„ุฃ ูˆุงุถุญ ู„ู‚ุงู„ูƒูˆุง ู‡ุฐุง ูƒูŠู ุญุตู„ุชูˆุง ุนู„ูŠู‡ุŸ ุนู„ู‰
227
00:17:09,860 --> 00:17:16,450
ูƒุฑุงู…ุฑู…ุซู„ุง ููŠ ุชู„ุงุชุฉ ูˆ ุชู„ุงุชุฉ ู…ูŠู† ู‡ูˆุŸ ุจู†ุฑูุน ุงู„ุนู…ูˆุฏ
228
00:17:16,450 --> 00:17:20,470
ุงู„ุชุงู„ุชุŒ ุดูˆ ุจุญุท ุจุฏุงู„ู‡ุŸ ุงู„ coefficients ุชุจุนุงุชูŠ ุงู„ู„ูŠ
229
00:17:20,470 --> 00:17:24,670
ู‡ูˆ ู…ูŠู†ุŸ ุงู„ vector ุงู„ู„ูŠ ุงุณู…ู‡ PุŒ ู…ูŠู† ู‡ู…ุงุŸ ุฑูˆ ูˆุงุญุฏุŒ
230
00:17:24,670 --> 00:17:28,190
ุฑูˆ ุฏู†ูŠุงู†ุŒ ุฑูˆ ุชู„ุงุชุฉุŒ ู…ุธุจูˆุทุŸ ูŠุจู‚ู‰ ุฃู†ุง ุนู„ู‰ ุงู„
231
00:17:28,190 --> 00:17:32,970
determinant ุชุจุนุชูŠ ุงู„ matrix ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุงุŒ ุจุณ ู‡ุฐุง ุงู„
232
00:17:32,970 --> 00:17:37,070
matrix ุนููˆุงุŒ ู‡ุฐุง ุงู„ matrix ุงู„ู„ูŠ ู‡ูˆ ุจูŠูƒูˆู† ุฃูƒุงู…
233
00:17:37,070 --> 00:17:42,840
ุชู„ุงุชุฉ ุจุชู„ุงุชุฉุŒ ูˆุงุถุญุงู†ุŸin general ุงู„ุตูุญุฉ ุงู„ุฌุงูŠุฉ ู‡ุฐู‡
234
00:17:42,840 --> 00:17:49,720
ุงู„ุตูŠุบุฉ ุงู„ุนุงู…ุฉ ุนู„ู‰ ุงู†ูƒ ุชุฌูŠุจูŠ ู…ู†ุŸ ุงู„ H ูƒู…ุงู† ู…ุฑุฉ ุงู„ู„ูŠ
235
00:17:49,720 --> 00:17:52,200
ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู„ูŠ ู‡ูŠ ุนุดุงู† ุงุญู†ุง ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ
236
00:17:52,200 --> 00:17:56,520
ุจุงู„ู„ุงุฌุฆ ู„ูƒู† ู‡ูŠ ู„ูˆ ุงู†ุง ุจุฏู‡ ุงุญูƒูŠ ุนู„ู‰ ู…ุซู„ุง
237
00:17:56,520 --> 00:17:59,780
autoregressive of order ุฃุฑุจุนุฉ ูุงู„ H ู‡ู†ุง ุงู„ู…ู‚ุตูˆุฏ
238
00:17:59,780 --> 00:18:05,900
ู…ูŠู† ููƒุฑูƒูˆุงุŸ ุฃุฑุจุนุฉุŒ ู…ุตุจูˆุญุŸ ุงู„ุงู† ุงู†ุชูˆุง ูุงู‡ู…ูŠู† ู‡ุฐู‡
239
00:18:05,900 --> 00:18:13,180
ูƒูŠู ุญุตู„ุชูˆุง ุนู„ูŠู‡ุงุŸ ุนุงุฑููŠู† ู‡ุฐุงุŸุทุจ ูƒูŠูุŸ ู‡ูŠ
240
00:18:13,180 --> 00:18:16,920
determinant ุน determinant ุจุงู„ู†ุณุจุฉ ู„ู„ determinant
241
00:18:16,920 --> 00:18:23,860
ุงู„ู„ูŠ ูุฌุฃู†ูŠ ุดูŠู„ุชูŠ ุขุฎุฑ ุนู…ูˆุฏ ููŠ ุงู„ู…ุตููˆูุฉ A ูˆ ุญุทูŠุช
242
00:18:23,860 --> 00:18:28,540
ุจุฏุงู„ู‡ ู…ูŠู†ุŸ ุงู„ coefficients ุชุจุนุช ู…ูŠู†ุŸ ุงู„ BุŸ ู…ุธุจูˆุทุŸ
243
00:18:28,540 --> 00:18:34,800
ูˆ ู‡ุฐุง ู‡ูˆ ุงู„ู…ุตููˆูุฉ A ุฐุงุช ู†ูุณู‡ุงุฃุนุชู‚ุฏ ูุงู‡ู…ูŠู† ุทูŠุจ ุงูˆุถุญ
244
00:18:34,800 --> 00:18:39,200
ุงู„ ู†ู‚ุต ุณุคุงู„ ุงู„ุญู…ุฏ ู„ู„ู‡ ู…ุงุดูŠ ู‡ู„ุง ูŠุง ุจู†ุงุช ุดูˆ ุฑุฃูŠูƒู…
245
00:18:39,200 --> 00:18:43,900
ู…ุซุงู„ ุชุทุจูŠู‚ ู„ู„ุณู‡ูˆู„ุฉ ุทุจุนุง ุจุงู„ู…ู†ุงุณุจุฉ ุงู„ files ู‡ุฏูˆู„ุฉ
246
00:18:43,900 --> 00:18:47,720
ุงู„ู„ูŠ ุงู†ุช ุดุงูŠูู‡ู… ุงูˆ ุงู„ fees ู‡ู… ุนู…ู„ูŠุง ุงู„ู„ูŠ ุงุญู†ุง
247
00:18:47,720 --> 00:18:51,540
ุฌูŠุจู†ุงู‡ู… ุจุงุณุชุฎุฏุงู… ุงู„ุชูƒู†ูŠูƒ ุงู„ู„ูŠ ุงุณู…ู‡ ุงู„ yule worker
248
00:18:51,540 --> 00:18:54,820
equations ุงู„ู„ูŠ ู‡ู… ู‡ุฏูˆู„ุฉ ุงู„ yule worker equations
249
00:18:56,110 --> 00:18:59,850
ูˆุงู„ู„ูŠ ุนู…ู„ูŠุง ู‡ุฏูˆู„ุฉ ู‡ู… ุงู„ููŠุงุช ุงู„ู„ูŠ ุงู†ุช ุดูุชูŠู‡ู… ูˆูŠู†
250
00:18:59,850 --> 00:19:03,490
ุงู†ุงุŒ ุงู„ููŠุงุช ู‡ุฏูˆู„ุฉ ุงู„ู„ูŠ ู‡ู… ุนู…ู„ูŠุง ุงู„ regression
251
00:19:03,490 --> 00:19:06,350
ุชุจุนุงุช ุงู„ auto-regress ููŠ ุงู„ parameters ุนููˆุง ู…ุด ุงู„
252
00:19:06,350 --> 00:19:08,430
regressionุŒ ุงู„ parameters ุชุจุนุงุช ุงู„ auto-regress
253
00:19:08,430 --> 00:19:14,410
ุงู„ู„ูŠ ู‡ู… ุงู„ููŠุงุชุŒ ุตุญุŸูˆู„ูƒู† ู‡ู†ุง ููŠู…ุง ุจุนุฏ ุณู†ุฌุฏ ุงู†ู‡ู…
254
00:19:14,410 --> 00:19:18,350
ู…ุฑุชุจุทูŠู† ู…ุด ููŠู…ุง ุจุนุฏ ุฎู„ุงุต ู‡ูŠ ุงู„ุดุบู„ู‡ ุนุดุงู†ู‡ุง ู…ุชู‚ุฏู…ุฉ
255
00:19:18,350 --> 00:19:22,010
ุดูˆูŠุฉ ููŠ ุงู„ุชุญู„ูŠู„ ุงู„ุฑูŠุงุถูŠ ูุงู†ุง ุญู‚ูŠู‚ุฉ ุฏู‡ ู…ุด ู‡ุฎุด ุนู„ู‰
256
00:19:22,010 --> 00:19:27,370
ุงู„ derivation ุงู„ู…ุนู‚ุฏ ูˆู„ูƒู† ู„ุฌูŠู†ุง ุทุฑูŠู‚ุฉ ุงุณู‡ู„ ู…ู† ุฎู„ุงู„
257
00:19:27,370 --> 00:19:30,450
ุงุณุชุฎุฏุงู… ุงู„ Yule Walker ุงู„ู„ูŠ ุจุชุฑุจุทู„ูŠ ุงู„ partial
258
00:19:30,450 --> 00:19:33,830
autocorrelation function ู…ุน ุงู„ููŠุงุช ู‡ุฏูˆู„ู‡ ูŠุนู†ูŠ ู‡ู…
259
00:19:33,830 --> 00:19:37,770
ุทู„ุนูˆุง ุงู„ููŠุงุช ุงู„ partial autocorrelation function
260
00:19:37,770 --> 00:19:42,760
ุทู„ุน ุงู„ููŠุชุฎูŠู„ูˆู‡ุŸ ู‡ู„ุฃ ูƒูŠู ุทู„ุนุŸ ููŠ ุญุงุฌุฉ ุงู†ุง ู…ุฎููŠุฉ
261
00:19:42,760 --> 00:19:47,540
ุนู„ูŠูƒู… ู…ุชู‚ุฏู…ุฉ ุดูˆูŠุฉ ู…ุงููŠู†ุง ู†ุญูƒูŠ ููŠู‡ุง ูƒุชูŠุฑ ุนุดุงู† ุงุญู†ุง
262
00:19:47,540 --> 00:19:51,140
ู…ุงุฏุชู†ุง ู…ุด advanced ูู‡ู…ุชูˆู†ูŠุŸ ูˆู„ูƒู† ูŠูู‡ู…ูˆู‡ุง ุงู„ุขู†
263
00:19:51,140 --> 00:19:54,920
ุงู„ููŠุงุช ู‡ุฏูˆู„ุฉ ู‡ู… ุงู„ุขู† ูŠุง ุจู†ุงุช ู…ูŠู† ุงู„ partial
264
00:19:54,920 --> 00:19:58,080
autocorrelation function ูˆ ู‡ู… ุงู„ estimation ู„ู„
265
00:19:58,080 --> 00:20:01,400
auto regressive ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุนุฑูู‡ ุญุชู‰ ุชุชุถุนูŠ ุงู„ุฃู…ูˆุฑ
266
00:20:01,400 --> 00:20:05,840
ููˆู‚ ู…ุง ู‡ูŠ ูˆุงุถุญุฉ ู„ูˆ ุงู†ุง ููŠู…ุง ุจุนุฏ ุนู†ุฏู‰ ุจูŠุงู†ุงุช ู…ุงู„ูŠุฉ
267
00:20:05,840 --> 00:20:12,510
ุงูˆ ุจูŠุงู†ุงุช ุนุงุฏูŠุฉุชุชุจุน ู„ู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ูˆู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช
268
00:20:12,510 --> 00:20:17,670
ุฃู†ุง ุงู„ุขู† ุจูŠุงู†ุงุช ุนุงุฏูŠุฉ ุงู„ู‚ุงู… ูŠุนู†ูŠ ุนุจุงุฑุฉ ุนู† ุดุฑูƒุฉ ูˆ
269
00:20:17,670 --> 00:20:22,460
ุฌุช ู‚ุงู„ุชู„ูƒ ุดูˆููŠู„ูŠ ุจุงู„ู„ู‡ ุนุจุฑ ุงู„ุณู†ูˆุงุชุงู„ุณู†ูˆุงุช .. ุงู„ุณู†ุฉ
270
00:20:22,460 --> 00:20:24,920
ุงู„ุฃูˆู„ู‰ .. ุงู„ุณู†ุฉ ุงู„ุชุงู†ูŠุฉ .. ุฅู„ู‰ ุขุฎุฑู‡ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ู‰
271
00:20:24,920 --> 00:20:28,620
ุฎุงุตุฉ ููŠุง ุฃู†ุง ุงู„ู„ู‰ ู‡ู‰ ุฃุฑู‚ุงู… ุฎู…ุณุชุงุดุฑ .. ุณุจุนุชุงุดุฑ ..
272
00:20:28,620 --> 00:20:32,740
ุฅู„ู‰ ุขุฎุฑู‡ ุดูˆููŠู„ูŠ ู…ูˆุฏูŠู„ ูŠูˆุตูู‡ุง ุงุญู†ุง ุงุดุชุบู„ู†ุง ุงู„ุดุบู„
273
00:20:32,740 --> 00:20:36,140
ุชุจุนู†ุง ูˆ ุฃูˆู„ ุฎุทูˆุฉ ุฅุฐุง ุจุชุฐูƒุฑูˆุง ุงู„ุฑุณู… ูˆ ู…ู† ุงู„ุฑุณู…
274
00:20:36,140 --> 00:20:38,980
ุจู†ุนุฑู ุงู„ุฃู…ูˆุฑ ุงู„ู„ู‰ ูˆูŠู† ุฑุงูŠุญุฉ ุจู†ุดูˆู ุงู„ stationary ูˆ
275
00:20:38,980 --> 00:20:41,940
ู…ุด ุงู„ stationary .. ุฅู„ู‰ ุขุฎุฑู‡ ูˆ ู‡ุฐุง ูƒู„ู‡ ูŠุชู†ุดุฃู„ ู…ูˆู„ุง
276
00:20:41,940 --> 00:20:45,660
ูŠูˆู… ุงู„ุณู…ุช ู‡ู†ุญูƒูŠ ููŠู‡ ุนู„ู‰ ู‚ุถูŠุฉ ู…ุดุฑูˆุน ู†ูŠุฌูŠ ู†ู‚ูˆู„ูƒ
277
00:20:45,660 --> 00:20:49,560
ูŠุนู…ู„ูŠู„ูŠ ู…ุดุฑูˆุน ุฌูŠุจูŠู„ูŠ ุจูŠุงู†ุงุช ูˆ ุฃู†ุช ุงู„ุขู† ู…ูˆุธูุฉ ููŠ
278
00:20:49,560 --> 00:20:53,130
ุดุฑูƒุฉูŠู„ุง ุงู„ู„ูŠ ุงุชุนู„ู…ุชูŠู‡ ููŠ ุงู„ุฅุญุตุงุก ูˆ ุงู„ู„ูŠ ู‡ู†ุชุนู„ู…ู‡ ููŠ
279
00:20:53,130 --> 00:20:57,390
ุงู„ุณู„ุณู„ ุงู„ุฒู…ู†ูŠุฉ ู‚ุฏุงู… ุงุนู…ู„ูŠู„ูŠ ู‡ุฐุง ุงู„ุดุบู„ ููŠ ุงู„ุจูŠุงู†ุงุช
280
00:20:57,390 --> 00:21:01,570
ู‡ุฐู‡ ู…ู† ู†ุงุญูŠุฉ ุนู…ู„ูŠุฉ ูˆู„ูƒู† ุงู† ุงู†ุง ุงุญู†ุง ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ู„ูŠ
281
00:21:01,570 --> 00:21:04,770
ุนู†ุฏู†ุง ู„ุญุฏ ุงู„ู„ูŠ ุงู†ุง ู…ุด ูƒุงู…ู„ุฉ ูุงู„ุงู† ุงู„ู„ูŠ ุจุฏูŠ ุงุฌูŠุจู‡
282
00:21:04,770 --> 00:21:07,490
ูŠู‚ูˆู„ ุฑุณู…ู†ุง ูˆ ุนู…ู„ู†ุง ูˆ ุทู„ุนู†ุง ุงู†ู‡ ุงู†ุง ู‡ุฐุง ุงู„ model
283
00:21:07,490 --> 00:21:11,200
ุงู„ู„ูŠ ุนู†ุฏูŠ autoregressive of order 4 ูŠุง ุจู†ุงุชุดูˆ ูŠุนู†ูŠ
284
00:21:11,200 --> 00:21:14,020
auto regressive order ุฃุฑุจุนุฉุŸ ูŠุนู†ูŠ ุฃู†ุง ุจุนุฑู ุฃู† ุงู„
285
00:21:14,020 --> 00:21:17,020
model ู‡ูŠูƒ ู‡ูŠูƒูˆู† ุดูƒู„ู‡ ุงู„ู„ูŠ ุจูŠูˆุตู ุงู„ุจูŠุงู†ุงุช ุงู„ู…ุงู„ูŠุฉ
286
00:21:17,020 --> 00:21:23,740
ุฅู†ู‡ุง Xt ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸ Phi Xt ู†ุงุฌุณ ูˆุงุญุฏ ุฒุงุฏ Phi
287
00:21:23,740 --> 00:21:32,460
Xt ู†ุงุฌุณ ุงุชู†ูŠู† ุฒุงุฏ Phi Xt ู†ุงุฌุณ ุชู„ุงุชุฉ Xt ู†ุงุฌุณ ุชู„ุงุชุฉ
288
00:21:32,460 --> 00:21:38,480
ุฒุงุฏ Phi Xtู†ู‚ุต ุงุฑุจุนุฉ ุงุฒุงุฏ epsilon T ุทุจุนุง ู†ู‚ุต ุงู„ phi
289
00:21:38,480 --> 00:21:42,620
ูˆุงุญุฏ ููŠ ุงุชู†ูŠู† ูˆ ู‡ูƒุฐุง ุงู„ุงู† ุงู†ุง ู„ูˆ ุงู‚ุฏุฑุช ุงุนุฑู ุงู„ููŠุงุช
290
00:21:42,620 --> 00:21:48,940
ู‡ุฏูˆู„ู‡ ู…ุธุจูˆุท ุงุณุชุทูŠุน ุงู†ูŠ ุงุชู†ุจุฃ ูƒู… ุณุชูƒูˆู† ุงู„ู…ุจูŠุนุงุช ููŠ
291
00:21:48,940 --> 00:21:52,520
ุงู„ุนุงู… ุงู„ููŠู† ูˆ ุชุณุนุฉ ุนุดุฑ ุงุญู†ุง ุงู„ุงู† ููŠ ุงู„ููŠู† ูˆ ุณุจุนุชุงุด
292
00:21:53,320 --> 00:21:58,420
ู…ุตุจูˆุญุŸ ูููŠ ุงู„ุนุงู„ู… .. forecasting .. ุชู†ุจูˆ .. ุตุญุŸ
293
00:21:58,420 --> 00:22:02,400
ูุฃู†ุง ุถุฑูˆุฑูŠ ุฃุนุฑู ุงู„ููŠุงุช ู‡ุฏูˆู„ุฉุŒ ูƒูŠู ุจุนุฑูู‡ู…ุŸ ุงู„ูŠูˆู…
294
00:22:02,400 --> 00:22:06,060
ู‡ุงูŠ ุงู„ rule worker equations ู‚ุงู„ูˆู„ูŠ ูƒูŠู ู†ุนุฑูู‡ู…ุŒ
295
00:22:06,060 --> 00:22:09,540
ุตุญุŸ ูุฅุฐุง ุงู† ุงู†ุง ุฃุตุจุญ ุงู†ู‡ ููŠ ุนู†ุฏู†ุง ุชูƒู†ูŠูƒูŠ ุงู„ู„ูŠ ุงู†ุง
296
00:22:09,540 --> 00:22:14,320
ุงุชุนู„ู…ู†ุงู‡ ูƒูŠููŠุฉ .. ูˆู„ุง ู„ุงุŸูƒูŠู ู†ุฌูŠุจ ุงู„ููŠุงุชุŸ ูƒูŠูุŸ
297
00:22:14,320 --> 00:22:16,780
ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ุงุชุนู„ู…ู†ุงู‡ุง ุชูˆูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ุฎุงุตุฉ ุจ
298
00:22:16,780 --> 00:22:20,760
grammar ูˆ ุงู„ู…ุนุงุฏู„ุงุช ุงู„ู„ูŠ ุถุฑุจู†ุงู‡ู… ุจ XT ูˆ X1 ูˆ ุบูŠุฑู‡
299
00:22:20,760 --> 00:22:24,540
ูˆ ุทู„ุนูˆุง ู‡ุฏูˆู„ ุงู„ููŠุงุช ุงู„ู„ูŠ ุงุญู†ุง ุดูˆูู†ุงู‡ู… ูˆ ุงู„ู„ูŠ
300
00:22:24,540 --> 00:22:28,780
ุณู…ูŠุชู‡ู… ุฑู…ูˆุฒ ุฌุฏูŠุฏุฉ ู…ุฌุฑุฏ ุชุณู…ูŠุฉ ู…ุด ุฃูƒุชุฑ ุณู…ูŠุชู‡ ููŠ
301
00:22:28,780 --> 00:22:35,430
ุฃุฑุจุนุฉ ูˆ ูˆุงุญุฏูˆุณู…ูŠุชู‡ ููŠ ุงุฑุจุนุฉ ูˆ ุงุชู†ูŠู† ุงุฑุจุนุฉ ูˆ ุชู„ุงุชุฉ
302
00:22:35,430 --> 00:22:39,210
ูˆ ุงุฑุจุนุฉ ูˆ ุงุฑุจุนุฉ ู‡ุฏูˆู„ ูˆ ู‡ูŠูƒ ุณู…ูŠุชู‡ู… ุงู„ููŠุงุช ุจุฏู„ ู…ุง
303
00:22:39,210 --> 00:22:43,710
ูŠู‚ูˆู„ ุนู†ู‡ ููŠ ูˆุงุญุฏ ู‡ู… ู†ูุณู‡ู… ุทู„ุนูˆุง ุนู…ู„ูŠุง ุงู„ ุจุงุฑุดุงู†
304
00:22:43,710 --> 00:22:48,210
ุงูˆุชูˆ ูƒูˆุฑูŠู„ูŠุดู† ูุงู†ูƒุดู† ูˆุตู„ู‡ ู…ุฑุจูˆุทูŠู† ุจุทุฑูŠู‚ุฉ ูˆ ุจุงุฎุฑู‡
305
00:22:48,210 --> 00:22:51,810
ู…ุน ุจุนุถ ู…ู† ุฎู„ุงู„ ุงู„ new work equations ูˆู‡ูŠู† ุงุชุนู„ู…ู†ุง
306
00:22:51,810 --> 00:22:57,060
ูƒูŠู ู†ุฌูŠุจู‡ู…ุทูŠุจ ุงู†ุง ู…ุงุชุนุทูŠุด ุงู„ู…ุซุงู„ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ุงู†ุง
307
00:22:57,060 --> 00:23:01,380
ู…ู†ุนุตุฑูŠู‡ ุดูˆ ุฑุฃูŠูƒูˆุง ู„ูˆ ูƒุงู†ุช ุนู†ุฏูƒ ุงู„ row ูˆุงุญุฏ ุจุชุณุงูˆูŠ
308
00:23:01,380 --> 00:23:05,460
7 ู…ู† 10 ุงูˆ 2 ู…ู† 5 ู…ู† 10 ุงูˆ 3 ู…ู† 2 ู…ู† 10 ูŠู„ุง ู…ูŠู†
309
00:23:05,460 --> 00:23:13,420
ุชู‚ูˆู„ ุงู„ 5 1 1ุŸ 7 ู…ู† 10 ุตุญุŸ 5 2 2 ูŠู„ุง ุญุณุจ ุงู„ู„ูŠ
310
00:23:13,420 --> 00:23:19,100
ุงุชุนู„ู…ู†ุง ู…ู† ุงู„ูƒุฑู…ุฉ ุจู†ุญุท ู…ูŠู† ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ู‡ูˆ ู‚ุจู„
311
00:23:19,100 --> 00:23:24,220
ุดูˆูŠุฉ ุญุตู„ู†ุง ุนู„ูŠู‡ ูˆ ุจู†ุนูˆุฏ ุฎู„ุงุต ุฃู‡ุŸูŠุนู†ูŠ ุฃู†ุง ุจุณ ู…ุฌุฑุฏ
312
00:23:24,220 --> 00:23:27,020
ุฃุนุฑุถ ุนู„ูŠูƒู… ุงู„ุตูุญุฉ ุนู„ู‰ ุฃู…ุงู…ูƒู… ุชุชุทู„ุนูˆุง ููŠู‡ุง ู„ุญุงู„ูƒู…
313
00:23:27,020 --> 00:23:30,480
ูˆุจุชูู‡ู… ุจุฏูˆู† ู…ุง ุฃูƒุชุฑ ุญูƒุงูŠู‡ ุนู„ู‰ ูƒูŠู ุชุฌูŠุจูˆุง ุงู„
314
00:23:30,480 --> 00:23:33,460
determinant ุงู„ุฃุตู„ ูƒู„ู†ุง ุทุงู„ุจุงุช ุจู†ุนุฑู ู†ุฌูŠุจู‡ ุนู„ู‰
315
00:23:33,460 --> 00:23:39,140
ุงู„ุดุบู„ ุตุญุŸ ู…ูŠู† ุชู‚ูˆู„ูŠ ููŠ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ุดูˆ ู‡ุชูƒูˆู†
316
00:23:39,140 --> 00:23:44,700
ููƒุฑูƒู…ุŸ ุนู„ู‰
317
00:23:44,700 --> 00:23:52,200
ุงู„ู…ุนูŠุงุฑุงุช ุงู„ู…ุนุทู„ุฉ ุฃู…ุงู…ูŠ ููŠ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉุŸ ู„ุฃ
318
00:23:55,720 --> 00:24:02,160
ูŠุนู†ูŠ ุฒูŠู‡ุŸ ูŠุนู†ูŠ ุฒูŠู‡ุŸ ูŠุนู†ูŠ ูŠุง ุจู†ุงุช ู„ูˆ ุทู„ุนุชูˆุง ุนู„ู‰
319
00:24:02,160 --> 00:24:04,860
ุงู„ุงู†ุญุถุงุฑ ุงู„ุฃู…ุงู† ุงู„ auto-aggressive ู‡ุฐุง ุงู„ู„ูŠ ุฃู†ุง
320
00:24:04,860 --> 00:24:10,710
ุนุงู…ู„ู‡ุŒ ู„ูˆ ุทู„ุจุช ู…ู†ูƒ ุฌูŠุจูŠู„ูŠ ููŠ ุฎู…ุณุฉ ูˆุฎู…ุณุฉู‡ู†ุง ุงุญุฏ
321
00:24:10,710 --> 00:24:14,690
auto-regressive ู„ุญุฏ ู…ูŠู† orderุŸ ุงุฑุจุน ูุฅุฐุง ุฑูุนูƒ ุฎู…ุณุฉ
322
00:24:14,690 --> 00:24:17,670
ูˆ ุฎู…ุณุฉ ูŠุนู†ูŠ ุงู„ partial auto-correlation function
323
00:24:17,670 --> 00:24:21,430
ุงู„ partial auto-correlation function ุนู†ุฏ ุงู„ู„ู‡ ุฎู…ุณุฉ
324
00:24:21,430 --> 00:24:25,970
ูˆ ุฎู…ุณุฉุŒ ุฎู…ุณุฉ ูŠุนู†ูŠุŒ ุดูˆ ุจูŠุทู„ุนุŸ Zero ูˆู„ุฐู„ูƒ ุงู„ุขู† ุงู†ุชูˆุง
325
00:24:25,970 --> 00:24:30,230
ู…ู„ุงุญุธูŠู† ุงู†ู‡ ููŠ ุดูŠุก ู…ู‡ู… ู„ู„ partial auto-correlation
326
00:24:30,230 --> 00:24:35,410
function ุจูŠู‚ูˆู„ู„ูŠ ู„ูˆ ุงู†ุง ุทู„ุน ุนู†ุฏูŠ ุนู†ุฏ ุงู„ู„ู‡ ู…ุนูŠู†
327
00:24:35,410 --> 00:24:40,920
Zero ูŠุนู†ูŠ cutูŠุนู†ูŠ ูƒุงู† ููŠู‡ ู‚ูŠู… ูˆ ูุฌุฃุฉ ุตุงุฑ ุตูุฑ ูƒุฃู†ู‡
328
00:24:40,920 --> 00:24:44,040
ู‚ูŠู… ุงู„ู„ูŠ ูˆุงุฌู ุนู†ุฏู‡ุง ู‡ูŠ ุงู„ orderุชุจุนุชู‡ ุงู„ auto
329
00:24:44,040 --> 00:24:47,820
-regressive ุตุญุŸ ูˆ ุฌูŠู ุนู†ุฏ ุฃูŠ order ู‡ูˆ ุนู†ุฏ ุงู„ุฃุฑุจุนุฉ
330
00:24:47,820 --> 00:24:52,060
ูˆ ูุฌุฃุฉ ุนู†ุฏ ุงู„ุฎู…ุณุฉ ุดูˆ ุตุงุฑุŸ zero ูˆ ู„ุฐู„ูƒ ู„ูˆ ุฑุณู…ุชูŠู† ูˆ
331
00:24:52,060 --> 00:24:55,160
ุฃู‚ุนุฏุช ุฃุฑู‚ุงู… ูˆ ุงู„ุฃุฑู‚ุงู… ู‡ุงุฏูŠ ููˆู‚ ุงู„ุฎุทูŠุฆุฉ ุงู„ุฒุฑู‚
332
00:24:55,160 --> 00:25:00,360
ุนุงุฑููŠู† ู‡ูˆุŸ ุงู„ bounds ู‡ุฏูˆู„ ูˆ ูุฌุฃุฉ ุตุงุฑ ุณูุฑ ุดูˆ
333
00:25:00,360 --> 00:25:03,420
ุจูŠุนู†ูŠุชู‡ุŸ ุฃู†ุง ุจูู‡ู… ุฃู† ู‡ุฐุง ุงู„ model ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ
334
00:25:03,420 --> 00:25:06,920
ุนู†ู‡ auto-regressive ูˆ ุงู„ order ุชุจุนุชู‡ ู‡ูˆ ูˆูŠู† ุตุงุฑ
335
00:25:06,920 --> 00:25:11,720
ููŠู‡ cut ู…ูู‡ูˆู…ุŸู„ุฐู„ูƒ ุงู„ุขู† ุงู„ู…ู„ุงุญุธุงุช ุงู„ู„ูŠ ุฃู…ุงู…ูŠ ู‡ูŠ
336
00:25:11,720 --> 00:25:15,680
ุงู„ู„ูŠ ู‚ุจู„ ุดูˆูŠุฉ ุญูƒูŠุชู‡ุง ุงู„ู…ู„ุงุญุธุฉ ุงู„ุฃูˆู„ู‰ ูŠุง ุจู†ุงุช
337
00:25:15,680 --> 00:25:19,220
ุจุงู„ุชุฃูƒูŠุฏ ุงู„ partial autocorrelation function ู…ู…ู†ูˆุน
338
00:25:19,220 --> 00:25:22,600
ู‚ูŠู…ุชู‡ ุชุฒูŠุฏ ุนู† ูˆุงุญุฏ ูˆู„ุง ุชู†ุฒู„ ุนู† ุณุงู„ุจ ูˆุงุญุฏ ูŠุนู†ูŠ ู…ุง
339
00:25:22,600 --> 00:25:26,260
ุจูŠู† ุณุงู„ุจ ูˆุงุญุฏ ูˆ ู…ุง ุจูŠู† ู…ูŠู† ูˆุงุญุฏ ูˆู„ุฐู„ูƒ ุฃูŠ ุทุงู„ุจ
340
00:25:26,260 --> 00:25:29,060
ุงุจุชุทู„ุน ุงู„ partial autocorrelation functions ุงู„
341
00:25:29,060 --> 00:25:33,060
coefficients ุชุจุนุงุชู‡ ุงู„ coefficients ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ
342
00:25:33,060 --> 00:25:35,840
ุฃุตุบุฑ ู…ู† ุณุงู„ุจ ูˆุงุญุฏ ุชุนุฑู ุญุงู„ู‡ุง ุบู„ุทุงู†ุฉ ู…ุง ุจุฒูŠุฏ ู‡ูˆ
343
00:25:35,840 --> 00:25:39,580
ู‚ูŠู…ู‡ ู…ุญุตูˆุฑุฉ ู…ุง ุจูŠู† ู…ูŠู† ูˆุฅู† ุฒูŠ ูˆุฒูŠ ุงู„ rawุชู…ุงู… ู‡ุงูŠ
344
00:25:39,580 --> 00:25:43,500
ุฃูˆู„ ุฎุทูˆุฉ ุงู„ุฎุทูˆุฉ ุงู„ุชุงู†ูŠุฉ ูŠุง ุจู†ุงู… ุงู„ู„ูŠ ุงู„ุขู† ู„ูˆ ูƒุงู†
345
00:25:43,500 --> 00:25:46,360
epsilon white noise process ู…ุนู†ุงุชู‡ ุงู„ partial
346
00:25:46,360 --> 00:25:48,660
autocorrelation function ููƒุฑุฉ ูƒู„ู‡ุง ู‡ุงุฏ ุงู„ white
347
00:25:48,660 --> 00:25:52,980
noise process ุฅูŠุด ู‡ูŠูƒูˆู†ุŸ ู…ุงู†ุชูˆุง ุนู†ุฏูƒูˆุง ุงู„ epsilon
348
00:25:52,980 --> 00:25:56,700
white noise ุฅูŠุด ูŠุนู†ูŠ white noiseุŸ ูŠุนู†ูŠ ุงู„
349
00:25:56,700 --> 00:26:00,000
covariance ุนู†ุฏ ุงุฎุชู„ุงู ุงู„ุฃุฒู…ู†ุฉ ุฏุงุฆู…ุง zero ูˆ ุงู„ raw
350
00:26:00,000 --> 00:26:03,860
ุงู„ู„ูŠ ู‡ูŠ ุงู„ auto correlation ุฃุฑุถู‡ุง zero ุนู†ุฏ ุงุฎุชู„ุงู
351
00:26:03,860 --> 00:26:09,690
ู…ูŠุฉ ุงู„ุฃุฒู…ู†ุฉ ูˆู…ุชู‰ ุชูƒูˆู† ุชุณุงูˆูŠ ูˆุงุญุฏุŸุงู„ุฑูˆุฉ ู„ู…ุง ูŠุชุณุงูˆู‰
352
00:26:09,690 --> 00:26:13,150
ุงู„ุฒู…ู† ู…ุน ุงู„ุฒู…ู† ุตุญุŸ ูŠุนู†ูŠ ู‡ูŠ sigma square ุงู„
353
00:26:13,150 --> 00:26:17,590
covariance ุนู†ุฏ ู…ูŠู†ุŸ ู†ูุณ ุงู„ุฒู…ู† ุตุญุŸ ูˆู…ู† ู‡ู†ุง ู„ูˆ ุณุฃู„ุช
354
00:26:17,590 --> 00:26:23,090
ูˆุงุญุฏุฉ ู…ู†ูƒูˆุง ูุงูŠ H ูˆ H ุณุชูƒูˆู† ู…ุฑุฉ ู„ูŠุดุŸ Zero ุงูˆ ู…ูŠู†ุŸ
355
00:26:23,090 --> 00:26:27,690
ูˆุงุญุฏ ู…ุชู‰ุŸ ู„ู…ุง ุงู„ H ู…ุง ุจูŠุณุงูˆูŠ .. ู„ุฃู† ู…ุง ู…ุนู†ุงู‡ุง
356
00:26:27,690 --> 00:26:33,810
ุนุงุฏูŠุŸู„ู…ุง ุชุฎุชู„ู ุงู„ุฃุฒู…ู†ุฉ ุชู…ุงู… ู‡ู‰ุŸ ูˆู„ุฐู„ูƒ ูŠุง ุจู†ุงุช ู„ูˆ
357
00:26:33,810 --> 00:26:38,090
ุงู†ุชูˆุง ุฑุณู…ุชูˆุง ุงู„ุขู† series ุฃูŠ ุฑู‚ู… ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช
358
00:26:38,090 --> 00:26:41,750
ุฑุณู…ุชูˆู„ู‡ุง partial autocorrelation function ูˆุจูŠู†ุช ุงู„
359
00:26:41,750 --> 00:26:46,170
partial ุงู„ู„ู‰ ู‡ูŠ ุฑุณู…ุฉ ุงู„ููŠุงุช ู‡ุฏูˆู„ ูˆุจูŠู†ุช ุงู†ุชูˆุง ุนู†ุฏ
360
00:26:46,170 --> 00:26:49,670
ุงู„ raw zero ุนููˆุง ุนู†ุฏ ุงู„ lag zero ุจุชุณุงูˆูŠ ูˆุงุญุฏ ูˆุจุงู‚ู‰
361
00:26:49,670 --> 00:26:54,190
ุงู„ู‚ูŠู… ุนู†ุฏ ุงู„ lag ุงุชู†ูŠู† ูˆ lag ุชู„ุงุชุฉ ูŠุนู†ูŠ ูˆุงุญุฏ
362
00:26:54,190 --> 00:26:59,570
ุฑุณู…ุชู‡ุง ูŠุนู†ูŠ ู‡ูŠูƒ ุฑุณู…ุชู‡ุงุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ุงู„ู„ูŠ ุจุชุนุฑููˆู‡ู…
363
00:26:59,570 --> 00:27:02,930
ุนุงุฑููŠู† ู‡ู… ุงู‡ ุงู„ู„ูŠ ู‡ู… ุงู„ bonds content of cement
364
00:27:02,930 --> 00:27:08,930
ุนู†ุฏ ุงู„ lag 0 ู„ุงุฌุชูˆู‡ุง ุจุชุณุงูˆูŠ ูˆุงุญุฏ ูˆู…ู† ุซู… ุนู†ุฏ ุจุงู‚ู‰
365
00:27:08,930 --> 00:27:14,070
ุงู„ lag ู‚ูŠู… ุตุบูŠุฑุฉ ุฌุฏุง ูุงู‡ู…ูŠู† ุดูˆ ุจุญูƒูŠู‡ุง ูŠุนู†ูŠ ุฃุณูุงุฑ
366
00:27:14,070 --> 00:27:18,190
ูƒุงูŠู†ู‡ุง ุงุนุฑููˆุง ุฃู† ู‡ุฐุง ุฑุณู…ุช ู…ูŠู† white noise ู…ุงุดูŠ
367
00:27:18,190 --> 00:27:21,810
ูุจู†ุชูˆู‚ุน white noise ุจุชูƒูˆู† ุงู„ parcel auto
368
00:27:21,810 --> 00:27:25,370
correlation function ู‡ูŠูƒ ุฑุณู…ุชู‡ุง ุนู„ู…ุŸ ู†ุจู„ุด
369
00:27:27,890 --> 00:27:31,710
ู‡ุฐู‡ ุฎุทูˆุฉ ุงู„ุชุงู„ุชุฉ ุงูˆ ุงู„ู…ุฑุงุญุฒุฉ ุงู„ุชุงู„ุชุฉ ุงู„ู„ูŠ ู‡ูŠ ู…ู‡ู…ุฉ
370
00:27:31,710 --> 00:27:36,130
ุจุชุญุฏุฏ ุงู„ partial
371
00:27:36,130 --> 00:27:41,530
autocorrelation function ู‚ูŠู…ุฉ ุงู„ order ุชุจุน ู…ู†ุŸ ุชุจุน
372
00:27:41,530 --> 00:27:45,150
ุงู„ autoregressive ูƒูŠู ูŠุนู†ูŠุŸ ุจู‚ูˆู„ูƒ ุฅุฐุง ูƒุงู†ุช ุงู„
373
00:27:45,150 --> 00:27:49,470
process autoregressive of order B ูู…ู† ุชู‚ูˆู„ูŠ ุดูˆ
374
00:27:49,470 --> 00:27:54,530
ุจุชุชูˆู‚ุน ุฑุณู…ุฉ ุงู„ููŠุงุช ู‡ุฏูˆู„ุฉุŸุชูƒูˆู† ู„ุญุฏ ุฏูŠ ุงู„ order ุจูŠู‡
375
00:27:54,530 --> 00:27:59,230
ู…ูˆุฌูˆุฏุฉ ูˆู„ูƒู† ุจุนุฏ ุงู„ ุจูŠู‡ ุจุชุตูŠุฑ cut off ุงูŠุด ูŠุนู†ูŠ cut
376
00:27:59,230 --> 00:28:05,850
off ู‚ุทุน ูŠุนู†ูŠ ุตูุงุฑ ูุจู†ุชูˆู‚ุน ุงู†ู‡ ู„ู…ุง ู†ุฑุณู… ุงู„ partial
377
00:28:05,850 --> 00:28:10,270
autocorrelation function ูŠูƒูˆู† ู„ุญุฏ ุฏูŠ ุงู„ order ุจูŠู‡
378
00:28:10,270 --> 00:28:15,130
ู…ูˆุฌูˆุฏ ููŠู‡ ุจุนุฏ ุงู„ุฎุทูŠู† ุงู„ุฒุฑุงุฌ ูˆู…ู† ุซู… ู‡ูŠ ุฃุตูุงุฑ ูู‡ุฐุง
379
00:28:15,130 --> 00:28:18,770
ูŠุจู‚ู‰ ุงู„ุงู† ุนุฑูุชู‡ ู„ูŠุด ู„ู…ุง ุฒู…ุงู† ู‚ู„ุชู„ูƒูˆุง ุฐุงูƒุฑูŠู† ุงู„
380
00:28:18,770 --> 00:28:22,480
partial autocorrelation function ู‡ูˆ ุงู„ู„ูŠ ุจุญุฏุฏุงู„ู€
381
00:28:22,480 --> 00:28:27,240
Autocorrelation ู„ุงู† ุนุฑูู†ุง ู„ูŠุด ุงู„ุฎุทูˆุฉ
382
00:28:27,240 --> 00:28:30,320
ุงู„ุฃุฎูŠุฑุฉ ูŠุง ุจู†ุงุช ู„ูˆ ุจุฏู„ู†ุง ุงู„ raw ุงู„ู„ูŠ ู‡ูŠ ุงู„
383
00:28:30,320 --> 00:28:32,660
population and autocorrelation ุจุงู„ sample ุงู†ุช
384
00:28:32,660 --> 00:28:35,160
ุจุชุนุฑูู‡ ููŠ ุงู„ุฅุญุตุงุก ููŠ ุนู†ุฏู†ุง sample ูˆ ููŠ ุนู†ุฏู†ุง
385
00:28:35,160 --> 00:28:39,280
population ูˆ ุงู„ sample ุจู†ุนู…ู„ ุจู†ุฑู…ุฒูˆู„ู‡ ูˆ ู‡ู… ุจู†ุฑู…ุฒ
386
00:28:39,280 --> 00:28:43,320
ู…ูŠู† ููŠ ุงู„ุฅุญุตุงุก raw hat ุจูŠู†ู…ุง ุงู„ population raw
387
00:28:43,320 --> 00:28:47,140
ุจุฏูˆู† ุงู„ hat ู‡ุฐู‡ ุงุณุชู…ุงุดูŠ ู„ุงู†ู‡ ุงู„ sampleูู„ูˆ ุจุฏู„ู†ุง
388
00:28:47,140 --> 00:28:51,240
ููƒุฑุฉ ุงู„ุฑูˆุญ ู„ุฃูˆ ุฑุฌุนู†ุง ู‡ุฐู‡ ุงู„ููŠุงุช ุงู„ู„ูŠ ุดุงูŠููŠู†ู‡
389
00:28:51,240 --> 00:28:55,920
ุฃุตุจุญูˆุง ุงู„ุฃู† ู…ู‚ุฏุฑูŠู† ุจุฏู„ุงู„ุฉ ุงู„ุฑูˆุญุงุช ุงู„ุชุงุจุนูˆู† ุงู„ุณุงู…ู„
390
00:28:56,130 --> 00:28:59,750
ูููƒุฑ ูƒูˆูŠุด ุจุฏู‡ ุชุตูŠุฑ ู‡ุงุฏ ุงุณู…ู‡ุง ูุงูŠ ู‡ุงุฏ ูŠุนู†ูŠ ู…ูŠู† ู‡ูŠ
391
00:28:59,750 --> 00:29:04,110
ุงุณู…ู‡ุง ุงู„ sample ุชุจุนูˆู† ู…ูŠู† ุงู„ partial ูˆ
392
00:29:04,110 --> 00:29:07,370
autocorrelation function ู…ู†ุทู‚ูŠ ูˆ ู„ุง ู…ุด ู…ู†ุทู‚ูŠ ูˆ ู‡ุฐุง
393
00:29:07,370 --> 00:29:10,650
ุงู„ู„ูŠ ููŠู‡ ู…ุจุงุฏุฆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ุงุณุชุฎุฏู…ูˆู‡ ุงู„ู„ูŠ ู‡ู… ู‡ุฏูˆู„
394
00:29:10,650 --> 00:29:14,410
ุงู„ู†ุงุณ ุงุณู…ู‡ู… Levinson-Durban ุงู„ู„ูŠ ู‡ูˆ recursive
395
00:29:14,410 --> 00:29:18,350
method ุงูˆ recursion method ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ู‡ูŠ Levinson
396
00:29:18,350 --> 00:29:22,070
-Durban method ุนุดุงู† ูˆ ุงู† ุดุงุก ุงู„ู„ู‡ ูƒู…ุงู† ุดูˆูŠุฉ ุจุฑูƒุฉ
397
00:29:22,070 --> 00:29:25,300
ู†ู‚ุฏุฑู†ุง ู†ุนู…ู„ู‡ุงุฒูŠ ู…ุงู„ุญุฌูŠ ู†ุงุดุฑ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠุฉ ู‡ู„ุฃ
398
00:29:25,300 --> 00:29:29,320
ู‡ุฐู‡ ุชูˆุฒูŠุญุงุช simulation ูุงุดูˆูู‡ ุฑุณู…ุฉ ุงู„ partial
399
00:29:29,320 --> 00:29:34,720
autocorrelation function ู„ู…ูŠู† ู„ auto regressive of
400
00:29:34,720 --> 00:29:38,080
order ูˆุงุญุฏ ู…ู„ุงุญุธูŠุช ู…ุนุงูŠุง ูŠุง ุจู†ุงุช ุงู†ู‡ ุนู†ุฏ ุงู„ lag
401
00:29:38,080 --> 00:29:44,300
ูˆุงุญุฏ ู…ุน ุงู„ุฏู‡ ู‡ุฐูŠ ู…ุด lag zero ู‡ุฐูŠ lag ูˆุงุญุฏู‡ุฐู‡ lag 1
402
00:29:44,300 --> 00:29:48,780
ุงู†ุชูˆุง ุจูŠุนุฑููŠู† ุงู† ุงู„ partial ููŠ ุฑุณู…ุฉ ุงู„ R ููŠ ุจุฑู†ุงู…ุฌ
403
00:29:48,780 --> 00:29:55,600
ุงู„ุญุตุงุฆูŠ R ุจูŠุฑุณู… ู…ู† ุงู„ lag 1 ู…ุด ู…ู† ุงู„ lag 0 ู…ุนูŠู†ุชู‡
404
00:29:55,600 --> 00:30:01,020
ู‡ุฐูŠูƒ ุงู„ ACF ู‡ุฐูŠูƒ ุงู„ autocorrelation ู‡ุฌูŠุช ุงู†ุง ุจุญูƒูŠ
405
00:30:01,020 --> 00:30:05,440
ุนู† ู…ูŠู† ุงู„ partial ูŠุจู‚ู‰ ุงู„ autocorrelation function
406
00:30:05,440 --> 00:30:09,930
ุงู„ ACF ูŠุนู†ูŠ ุจุงู„R ุจูŠุจุฏุฃ ู…ู† ุงู„ lag 0 ููŠ ุงู„ุฑุณู…ูˆ ุจูŠุจุฏุฃ
407
00:30:09,930 --> 00:30:13,650
ู…ู† ุฃู†ู‡ ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ูˆู„ูƒู† ุงู„ partial ุจูŠุจุฏุฃ ู…ู† ู…ูŠู†ุŸ
408
00:30:13,650 --> 00:30:18,120
ู…ู† ูˆุงุญุฏุŒ ุฎู„ุงุต ู‡ูŠูƒ ุงู„ RM ุจุฑู…ุฌู…ุด ุนุงุฌุจูƒ ุงู†ุช ู…ู…ูƒู†
409
00:30:18,120 --> 00:30:22,140
ุชุจุฑู…ุฌูŠ ุงู„ุฌู…ูŠู„ ููŠ ุงู„ a ุงู† ู‡ูˆ oriented ูŠุนู†ูŠ .. ูŠุนู†ูŠ
410
00:30:22,140 --> 00:30:24,760
ุงูŠุด orientedุŸ ุงู†ุช ู…ู…ูƒู† ุชุนู…ู„ูŠู‡ .. ุงู†ุช ุญุชู‰ ู„ุญุงู„ูƒ ุงุฐุง
411
00:30:24,760 --> 00:30:27,500
ุจุชุญุจ ุชุนู…ู„ ุงู„ code ูˆ ุชุจุฑู…ุฌูŠู‡ ู„ุญุงู„ูƒ ูˆ ุชุณูˆูŠู‡ ูˆ ุชุฑุณู…
412
00:30:27,500 --> 00:30:30,600
ุฑุณู…ุงุช ุจุฏูŠูƒ ู„ุญุงู„ูƒ ุจูŠู…ุดูŠ ุงู„ุญู‚ .. ูˆู„ูƒู† ุงุญู†ุง ู†ุงุฎุฏู‡
413
00:30:30,600 --> 00:30:33,960
ู…ุณู„ุญ .. ู‡ู„ ุงู†ุชูˆุง ู…ู„ุงุญุธูŠู† ู…ุนุงูŠุง ุงู† ููŠ ู‚ูุฒุฉ ูƒุจูŠุฑุฉ
414
00:30:33,960 --> 00:30:37,820
ุฌุฏุง ุนู†ุฏ ุงู„ order ูˆุงุญุฏ ูˆ ู…ู† ุซู… ุงู„ุจุฌูŠุงุช ู…ุน ุงู„ home
415
00:30:37,820 --> 00:30:41,580
cut off .. ุดูˆ ูŠุนู†ูŠ cut offุŸ ุฃุณูุงุฑ .. ู‡ุฏูˆู„ ุฃุณูุงุฑ
416
00:30:42,880 --> 00:30:45,500
ู‡ุฏูˆุก ู…ุงูŠุบุฑูƒูŠุด ูƒุจูŠุฑ ุงู†ู‡ ู‡ุงุฏ .. ุงุญู†ุง ู†ุญูƒูŠ ููŠู‡ุง ุงู†ุดุงุก
417
00:30:45,500 --> 00:30:48,660
ุงู„ู…ูˆู„ุง ู‚ุฑูŠุจุง ุฌุฏุงุŒ ู„ูŠุด ู‡ุงุฏุŸ ู„ุฅู† ู…ุงููŠุด ุงุฑุชุจุงุทุงุช ..
418
00:30:48,660 --> 00:30:53,200
ูŠุนู†ูŠ ููŠ ุงุฑุชุจุงุทุงุช ู†ุฎููŠุฉุŒ ุฎููŠูุฉุŒ ุถุนูŠูุฉ ุจุณุŒ okayุŸ ู‡ู„ุฃ
419
00:30:53,200 --> 00:30:58,120
ุฑุณู… ุงุฒุงูŠ ู‡ุงุฏ ูŠุงู…ุงู†ุงุชูŠุŒ ุดูˆ ุจุชู‚ูˆู„ูƒูˆุงุŸ ุงู†ู‡ ุงู†ุง ุงู‚ุชุฑุญ
420
00:30:58,120 --> 00:31:01,680
ุนู„ูŠูƒูŠ ุงู†ูƒ ุชููƒุฑูŠู„ูŠ ุจุงู„ auto-regressive order ูˆุงุญุฏุŒ
421
00:31:01,680 --> 00:31:05,780
ู‡ูˆ ุจูŠู‚ุชุฑุญ ูˆ ู„ูŠุณ ูŠุนู†ูŠ ูŠุฌุจุฑูƒูŠุŒ ุงู‚ุชุฑุงุญุŒ ู…ุงููŠุด ุญุงุฌุฉ
422
00:31:05,780 --> 00:31:10,530
ู…ู‚ุฏุณุฉ ู‡ู†ุงุŒ ุงุณุชุนู…ุชูˆู† ุงูŠู‡ุŸูŠุนู†ูŠ ูŠู…ูƒู† ูŠูƒูˆู† ู…ุด ุตุญูŠุญ
423
00:31:10,530 --> 00:31:14,270
ุจุตุฑุงุญุฉ ุงู„ู…ู‡ู… .. ู‡ู„ุฃ ุจุนูŠุฏุง ูŠุนู†ูŠ ุดูˆ ุฑุฃูŠูƒูˆุง ุจุฑุณู…ุฉ ุฒูŠ
424
00:31:14,270 --> 00:31:18,030
ู‡ุฐู‡ ุจุตุฑุงุญุฉ
425
00:31:18,030 --> 00:31:22,310
ูŠุง ุจู†ุงุช ุทุจุนุง ู‡ุฐู‡ ุจุงุฑุณู„ ุฑุณู…ุฉ ุจุงุฑุณู„ ุงู‡ author
426
00:31:22,310 --> 00:31:26,110
aggressive order ูˆุงุญุฏ ูˆ ุงู„ุฑูˆุจ ุงู„ู…ู†ุงุณุจุฉ ู‡ุชูƒูˆู† ู…ูŠู†
427
00:31:26,110 --> 00:31:31,730
ูŠุง ุจูุณ ุณุงู„ู ู…ุตุจูˆุทุŸ ุญู„ูˆ ุฑุณู…ุฉ ุฒูŠ ู‡ุฐู‡ ูŠุจุณ .. ู‡ุฏ ุงู†ุง
428
00:31:31,730 --> 00:31:34,770
ุจุฏูŠ ุฃุญุงูˆู„ ุฃุฎููŠ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู‡ู†ุง ุนุดุงู† ุฃุดูˆููƒูˆุง ูˆู„ูƒู†
429
00:31:34,770 --> 00:31:41,350
ุทู„ุน ุฑุณู…ุฉ ุฒูŠ ู‡ุฐู‡ู‡ุฐู‡ ุงู„ุจุงุฑุดุฉ ุฑุณู…ุฉ ุงู„ุจุงุฑุดุฉ ู‡ุฐู‡ ุจุชู‚ูˆู„
430
00:31:41,350 --> 00:31:45,450
ุงู†ู‡ ุงู†ุง ุจู‚ุชุฑุญ ุนู„ูŠูƒ ุชููƒุฑูŠู„ูŠ ุจู…ูŠู† ุงูˆ to regressive
431
00:31:45,450 --> 00:31:49,190
order ุงุชู†ูŠู† ู„ุงู† ุนู†ุฏ ุงู„ order ูˆุงุญุฏ ููˆู‚ ูˆ ุนู†ุฏ ุงู„
432
00:31:49,190 --> 00:31:52,770
order ุงุชู†ูŠู† ููˆู‚ ูˆ ู…ู† ุซู… ุงุตุจุญ ููŠ cut off ู‡ู„ู‡ ู‡ุฐู‡
433
00:31:52,770 --> 00:31:56,450
ู…ุนุฏูŠุฉ ู‡ุฐู‡ ู†ุชูŠุฌุฉ ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ุนู†ู‡ุง ู‚ุจู„ ุดูˆูŠู‡ ุงู†ู‡ ูŠุง
434
00:31:56,450 --> 00:32:01,530
ุจู†ุง ุงู„ุฑูˆุฒ ุฐุงุช ู†ูุณู‡ู… ุงู„ุฑูˆุฒ ุงู„ู„ูŠ ุงู„ูุงูŠุงุช ุฌุงูŠุงุช ู…ู†ู‡ู…
435
00:32:01,530 --> 00:32:05,730
ุงู†ุชูˆุง ุดูˆูุชูˆุง ุงู„ูุงูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุจุงุฑุดุฉุงู„ู‰ ุนู„ุงู‚ุฉ ุจุฏู„ุงู„ุฉ
436
00:32:05,730 --> 00:32:10,690
ุงู„ raw ุตุญุŸ ูˆ ุงู„ raw ุงู„ุฐุงุช ู†ูุณู‡ู… ู‡ุฏูˆู„ุฉ ููŠ ุจูŠู†ุชู‡ู…
437
00:32:10,690 --> 00:32:14,590
ุงุฑุชุจุงุทุงุช ุฏุฑุจุงู„ูƒูˆ ุญุชู‰ ุจุงู„ white noise ููŠ ุงุฑุชุจุงุทุงุช ูˆ
438
00:32:14,590 --> 00:32:19,230
ู…ู† ู‡ู†ุง ุณุชุฌุฏูˆุง ุงู†ู‡ theoretically ุณูุฑ ู„ูƒู† applicable
439
00:32:19,230 --> 00:32:22,650
ุงูˆ ุงู„ู„ูŠ ู‡ูˆ applications ุนููˆุง ุงู„ู„ูŠ ู‡ูŠ ุจุงู„ุชุทุจูŠู‚
440
00:32:22,650 --> 00:32:26,010
ุงู„ุนุงู…ู„ูŠ ู„ุฃ ู…ุด ุฃุตูุฑ ูˆ ู‡ุฐุง ุงู„ุฏู„ูŠู„ ุนู„ู‰ ุงู†ู‡ ู‡ูŠูˆ ุฒูŠ ู…ุง
441
00:32:26,010 --> 00:32:29,670
ุงู†ุช ุดุงูŠูู‡ุง ู„ุฃ
442
00:32:29,670 --> 00:32:34,080
ู…ุด ู†ุงุฒู„ ุนู†ุฏูƒ ุชู„ุงุชุฉ ู…ุด ู†ุงุฒู„ ู†ุงุฒู„ุŸู„ุฃ ุงู„ .. ุงู„ู„ูŠ ุตุงุฑ
443
00:32:34,080 --> 00:32:38,400
ููŠู‡ ู‚ูุฒุฉ ู‡ุงุฏู‰ุŒ ุชู„ุงุชุฉ ู†ุฒู„ุŒ ุตุงุฑ cut offุŒ ุงู„ู„ูŠ ุฃุฑุจุน
444
00:32:38,400 --> 00:32:42,280
ู…ุง ู†ุฒู„ุดุŒ ู†ุชูŠุฌุฉ ุงู„ู„ูŠ ุฃู†ุง ุนุงู…ู„ุง ุจุญูƒูŠู‡ุŒ ู‡ุฐุง ุนุงู…ุฏุง ุฃู†ุง
445
00:32:42,280 --> 00:32:46,900
ุนู… ู…ูˆุฑูŠู‡ ุฅู†ู‡ ุงุญู†ุง ุงู„ุฃุตู„ ุฅู†ู‡ ูŠูƒูˆู† ู…ุงู„ู‡ .. ุฅู†ู‡ ูŠูƒูˆู†
446
00:32:46,900 --> 00:32:49,580
cut offุŒ ูŠุนู†ูŠ ุงู„ zero ุฃูˆ ู‚ุฑูŠุจ ุนู† ุงู„ zeroุŒ ุงู†ู‡
447
00:32:49,580 --> 00:32:52,400
ู…ุงูŠุนุฏูŠุด ุฎุท ุงู„ุฒุฑู‚ ุงู„ู„ูŠ ู‡ู… ุงู„ confidence limit ู‡ุฏูˆู„
448
00:32:52,920 --> 00:32:57,600
ุฃุชู…ุงูŠู†ุชู‡ุŸ ูˆู„ูƒู† ุนุฏู‰ุŒ ู„ูŠุด ุนุฏู‰ุŸ ู†ุชูŠุฌุฉ ุงู†ู‡ ูŠุง ุจู†ุงุช
449
00:32:57,600 --> 00:33:03,020
ุงู„ุฑุฒู‚ ู†ูุณู‡ู… ุจู†ุงุชู‡ theoretically ุจู†ูุฑุถ ุงุญู†ุง ุงู†ู‡
450
00:33:03,020 --> 00:33:06,540
theoretically ูŠุนู†ูŠ ู†ุธุฑูŠุง ุจู†ูุฑุถ ุงู†ู‡ ููŠุด ุงุฑุชุจุงุทุงุช
451
00:33:06,540 --> 00:33:12,540
ูˆู„ูƒู† ุนู†ุฏ ุงู„ุญุฏูŠุซ ุงู†ู‡ุง ุนู…ู„ูŠุฉ ู†ุจุฏู„ู‡ู… ุจุงู„ sample ูุงู„
452
00:33:12,540 --> 00:33:17,620
sample ู„ุฃ ููŠ ุงุฑุชุจุงุทูุงู„ุฑุฒุฉ ู†ูุณู‡ู… ู…ุน ุจุนุถ ููŠ ุงุฑุชุจุงุท
453
00:33:17,620 --> 00:33:21,060
ู…ุน ุงุฑุชุจุงุท ู…ุน ุงุฑุชุจุงุท ุจุชุฒูŠุฏูŠ ูƒู„ุงู… ุจุชุฒูŠุฏูŠ ู‚ูŠู… ู„ุจุนุถ
454
00:33:21,060 --> 00:33:24,800
ุจุชุฒูŠุฏูŠู‡ุง ูุงู„ู‚ูŠู… ุงู„ู„ูŠ ุจุชุฒูŠุฏูŠู‡ุง ุจุชุจุทู„ ุตูุฉ ุงุณุชุนู…ู„ุชูˆู†
455
00:33:24,800 --> 00:33:27,860
ุงูŠู‡ุŸ ูŠุนู†ูŠ ุงู„ูƒุชู„ุฉ ูˆุฑุง ูƒุชู„ุฉ ูˆุฑุง ูƒุชู„ุฉ ุจุชุทู„ุนู„ูŠ ู‡ุฐู‡
456
00:33:27,860 --> 00:33:30,980
ุงู„ู„ูŠ ู‡ูŠ ุงู„ุนุฏุงุช ูˆู‡ุฐู‡ ู…ู† ุงู„ุฃุดูŠุงุก ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุดูˆูู‡ุง
457
00:33:30,980 --> 00:33:34,620
ุญุชู‰ ุจุงู„ white noise ุจุงู„ู…ู†ุงุณุจุฉ ุงู„ู„ูŠ ุงู„ุฃุตู„ ุงู† ูŠูƒูˆู†
458
00:33:34,620 --> 00:33:38,720
ุฃุตูุงุฑ ูƒู„ุชู‡ู… ุณุชุฌุฏูˆุง ุงู†ู‡ ููŠ ุฑุณู… ุงู„ white noise ุงู„ู„ูŠ
459
00:33:38,720 --> 00:33:45,760
ู…ุง ูŠูƒูˆู† ููŠ ุจุนุถ ุงู„ุญุงู„ุงุช ู…ูŠู† ู‡ูŠูƒูˆู† ุฒูŠ ู‡ูŠูƒ okayุŸู‡ุฐุง
460
00:33:45,760 --> 00:33:50,920
ุงู„ู„ูŠ ู‡ู†ู‚ุดู‡ ู‡ูˆ ุจูŠู‚ุฏุฑุน ุนู„ูŠูƒ ุจุฑุถู‡ ุฑุชู†ูŠู† okay ุงู†ุช
461
00:33:50,920 --> 00:33:53,780
ุนุงุฑูู‡ ุงุฒุงู„ูƒ ุงู†ุช ุณุฃู„ุชู†ูŠ ุงู†ุง ุจูŠุฏูˆุฑูŠูƒ ุนู„ู‰ ุงู„ R ู‡ุงูŠ ุงู„
462
00:33:53,780 --> 00:34:02,000
R ุน ุงู„ุณุฑูŠุน ู‡ู„ุฃ ุดูˆ ุฑุฃูŠูƒ ุงู†ุง ุจุฏูŠ ุงุนู…ู„ X ุชุณุงูˆูŠ ุจุฏูŠ
463
00:34:02,000 --> 00:34:07,240
ุงูƒุจุฑ ู‡ุฐุง ู„ุงู† X
464
00:34:07,240 --> 00:34:12,980
ูŠุณุงูˆูŠ R norm ุนุงุฑููŠู† R norm ุดูˆ ุจูŠุนู…ู„ุŸุจูˆู„ู„ ุนุดูˆุงุฆูŠุฉ
465
00:34:12,980 --> 00:34:16,060
ู…ุซู„ุง 100 ู‡ุฏูˆู„ white noise ุงู„ X ู‡ุฏูˆู„ white noise
466
00:34:16,060 --> 00:34:19,580
ุจุงู„ู…ู†ุงุณุจุฉ ู‡ุฏ ุงู„ series white noise ูŠุง ู…ุงู†ุนุช ุงู„ู…ู‡ู…
467
00:34:19,580 --> 00:34:26,360
ุงู†ุง ุจุฏูŠุช ุงุนู…ู„ ู‡ู†ุง okay ู‡ู„ุง ุดูˆ ุฑุฃูŠูƒ ุงู„ code ุงู„ู„ูŠ
468
00:34:26,360 --> 00:34:32,400
ุงุณู…ู‡ ACF ู‡ูˆ ุงู„ู„ูŠ ุจุฑุณู… ุงุณู…ู‡ ACF ACF ู„ู„ X ูˆ ุงู„ type
469
00:34:32,400 --> 00:34:38,350
ุงู„ู„ูŠ ุจุฏูŠู‡ ุงู„ู†ูˆุน partial ุงู†ุง ุจุฏูŠ partial ุตุญุŸู…ุง
470
00:34:38,350 --> 00:34:42,210
ุงู†ุชูˆุง ุนุงุฑููŠู† ุงู„ู†ูˆุน ุงู„ู„ู‰ ู‡ูˆ ุชุจุนู‡ุง ุงุณู…ู‡ุง ูŠุง ุงู…ุง auto
471
00:34:42,210 --> 00:34:46,330
covariance ุงูˆ auto correlation ุงูˆ ุจุงุฑุดุฉ ุงู†ุง ุจุญูƒูŠ
472
00:34:46,330 --> 00:34:49,150
ุนู† ุงู„ุจุงุฑุดุฉ ู‡ุฐู‰ ุงู„ู„ู‰ ู‡ุงู†ุง ุดูˆ ุฑุฃูŠู‡ ูƒู…ุงู† ู‡ู… ู…ุน ุจุนุถ
473
00:34:49,150 --> 00:34:53,950
ู‡ูŠูƒ ูˆ ุงุฑุณู…ู‡ู… ุจุชุงุนุชุด ูˆุดูˆููŠู‡ ุงู†ุชูˆุง ุจู†ุญุธุฉ ุงู† ู‡ุฐู‰ ูƒู„
474
00:34:53,950 --> 00:34:59,250
ู‡ุชู‡ู… ู…ุงู„ู‡ูˆ ุฌูˆุงุช ุฎุงุชูŠู† ุงู„ุฒุฑู‚ ู„ุฅู† ู‡ู‰ ุดูˆูŠุฉ noise ูˆู„ุง
475
00:34:59,250 --> 00:35:02,270
ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุนุฏูŠ ุทุจ ู‡ุชู†ุนู…ู„ ูƒู…ุงู† ูˆุงุญุฏุฉ simulation
476
00:35:05,850 --> 00:35:10,170
ู†ูุณ ุงู„ุดูŠุก ูƒู…ุงู† ูˆุงุญุฏุฉ ุฅู„ุง ู…ุงู„ุงู‚ูŠ ููŠ ู…ุฑุฉ ู…ู† ุงู„ู…ุฑุงุช
477
00:35:10,170 --> 00:35:13,590
ูˆุงุญุฏุฉ ู‡ูŠูƒ ุชุดุฒ ุฃูˆ ุชุฌุฑุจ ู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ุดูƒู„ู‡ุง ูƒู…ุงู† ู…ุฑุฉ
478
00:35:13,590 --> 00:35:19,350
ุทุจ ุดูˆ ุฑุฃูŠูƒ ุจุฏูŠ ุฃูƒุจุฑู‡ุง ุดูˆูŠุฉ ุฃุนู…ู„ู‡ุง ู…ุซู„ุง ุฃู„ู okay
479
00:35:19,350 --> 00:35:27,630
ุจุฏูŠ ุฃุนู…ู„ู‡ุง ุฃู„ู ูˆุดูˆู ุฅูŠุด ุจูŠุนุทูŠู†ูŠ ุฃู„ู ูˆ ู„ุง ูŠู‡ู…ูƒ ู…ุฒุงู„
480
00:35:27,630 --> 00:35:30,670
ูŠุนู†ูŠ ุจุฏูŠ ุฃุงุฎุฏ ุฎุทูŠู† .. ุฃู†ุง ุจุฏูŠ ูˆุงุญุฏุฉ ุชุดุฒ ุจุตุฑุงุญุฉ ู…ุด
481
00:35:30,670 --> 00:35:31,750
ุฑุงุถูŠ ุนุดุฑุฉ
482
00:35:36,070 --> 00:35:39,190
anyways ู…ุด ูุงุถูŠ ุฃุณุจูˆุน .. ูƒู„ ู…ุฑุฉ ุจูŠุทู„ุน ู…ุงู„ู‡ ุจูŠู†
483
00:35:39,190 --> 00:35:43,110
ู…ูŠู†ุŸ ุจูŠู† ุงู„ุฎุทูŠู†ุŸ ูŠุนู†ูŠ ู‡ุฐุง ุจูŠุฏู„ ุนู„ู‰ ุฃู† ุงู„ partial
484
00:35:43,110 --> 00:35:46,750
autocorrelation ู…ุงู„ู‡ ูŠุง ุจู†ุงุช ุฃุตูุฑ .. ุจุณ ู‡ู‚ูˆู„ูƒูˆุง
485
00:35:46,750 --> 00:35:50,190
ุดุบู„ุฉ ูˆุงุญุฏุฉ ู„ูˆ ุฏู„ุชูƒ ุชุนู…ู„ ุงู„ simulation ูƒุชูŠุฑ ู‡ุชู„ุงู‚ูŠ
486
00:35:50,190 --> 00:35:53,570
ููŠ ู„ุญุธุฉ ู…ู† ุงู„ู„ุญุธุงุช ู…ุซู„ุง ู…ูŠู† ู…ู† ู‡ูˆู† .. ูˆุงุญุฏุฉ ู‚ุฑูŠุจุฉ
487
00:35:53,570 --> 00:35:56,930
ุฌุฏุง ู„ู…ูŠู†ุŸ ู„ุฎุทูŠู† ุงู„ุฒุฑู‚ .. ู‡ู„ ู…ุนู†ุงุชู‡ ุฃู† ู‡ุงู„ุฉ ููŠ
488
00:35:56,930 --> 00:36:01,050
significantุŸู„ุฃ ู‡ูŠ white noise ูˆู„ูƒู† ู†ุชูŠุฌุฉ ุฃู† ุงู„ุฑุฒุฉ
489
00:36:01,050 --> 00:36:04,690
ุจู†ูุณู‡ู… ูƒุนูŠู†ุฉ ููŠ ุงุฑุชุจุงุทุงุชู‡ุง ุฏู‡ ุฃุฏู‰ ุฅู„ู‰ ุฃู† ูˆุฌูˆุฏ
490
00:36:04,690 --> 00:36:07,210
ุงู„ุฃุฑู‚ุงู… ุนู„ู‰ ููƒุฑุฉ ู‡ุฏูˆุน ุงู„ุฎุทูˆุท ุงู„ู„ูŠ ุงู†ุช ุดุงูŠูู‡ุง ู‡ู…
491
00:36:07,210 --> 00:36:12,350
ู‡ุฏูˆุน ุงู„ุฃุตู„ ูŠูƒูˆู† ุฃุตูุงุชุŒ ุงู„ุฃุตู„ุŒ ู†ุธุฑูŠุง ุฃุตูุงุช ูˆู„ูƒู†
492
00:36:12,350 --> 00:36:21,090
ุนู…ู„ูŠุง ู‡ูŠ ู‡ู… ู…ุด ุณูุฑ ุทูŠุจ ู†ุฑุฌุน ุนู„ู‰ ุงู„ .. ูƒู†ุง ููŠู‡ู‡ู„ุฃ
493
00:36:21,090 --> 00:36:24,890
ุงู„ุขู† ุงุชุจู„ุดู†ุง ู†ุญูƒูŠ ุนู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ Vincent Durban
494
00:36:24,890 --> 00:36:28,050
Recursive MethodุŒ ู‡ุฏู‰ ุงู†ุง ูŠุง ุจู†ุงุช ุฑูƒุฒูˆุง ู…ุนุงูŠุงุŒ
495
00:36:28,050 --> 00:36:32,090
ุงู„ู…ูˆุถูˆุน ู‡ุฐุง ุฃุนู‚ุฏ ุจูƒุชูŠุฑ ู…ู† ุงู„ู„ูŠ ุฃู†ุง ุนุงู…ู„ูƒู… ุฅูŠุงู‡ุŒ
496
00:36:32,090 --> 00:36:36,310
ูˆูŠู„ู‡ ุนู„ุงู‚ุฉ ุจุงู„ matrices ูˆ ุจุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ุŒ ูˆุญุชู‰
497
00:36:36,310 --> 00:36:39,470
ุฃุญูŠุงู†ุง ุจุฎุด ููŠู‡ ุงู„ multivariate algorithm ูˆููŠู‡ ุงู„
498
00:36:39,470 --> 00:36:43,190
brownie motion ูˆ ุงู„ stochastic ูˆ ุงู„ุฌุซุซ ูƒุจูŠุฑุฉุงุญู†ุง
499
00:36:43,190 --> 00:36:47,550
ู…ุด ู…ุฏุชู†ุง advance ู„ุน ุงู„ุฏุฑุฌุฉ ุจู†ุงุฎุฏ ู…ูŠู† ุงุญู†ุง ุงู„ุฎู„ุงุตุฉ
500
00:36:47,550 --> 00:36:51,250
ูˆ ุงู„ุฒุจุฏุฉ ุชุจุนุช ู…ูŠู† ุงู„ุฃูู†ุฏูŠ ู‡ุฐุง ุงุณู…ู‡ ู…ูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„
501
00:36:51,250 --> 00:36:54,790
algorithm ุงู„ู„ูŠ ุงุฎุชุฑุนูˆู‡ ุงู„ู„ูŠ ู‡ู… ู…ูŠู† ู„ูŠู†ุณูˆู† ุฏูŠุฑุจุงู†
502
00:36:54,790 --> 00:37:00,830
ุงู‡ ุงู„ู†ุงุณ ู‡ุฏูˆู„ู‡ ุงุณู…ุนูˆุง ู„ู…ุง ุงู†ุชูˆุง ูˆุตู„ุชูˆุง ู„ ุงู„ู„ูŠ ู‡ูˆ
503
00:37:00,830 --> 00:37:05,970
ุงู„ููŠุงุช ูˆ ุงุณุชุฎุฏู…ุชูˆุง ุจุนุฏู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ูƒุฑุงู…ุฑ ูˆุตู„ุชูˆุง
504
00:37:05,970 --> 00:37:10,990
ู„ู‡ุฐุง ุงู„ matrixAX ุงู„ู„ูŠ ู‡ูˆ ู‡ูŠูƒ ูˆุถุฑุจุชู‡ ุจุงู„ X ุงู„ู„ูŠ ู‡ูˆ
505
00:37:10,990 --> 00:37:15,810
ู‡ูŠูƒ ูˆ ู‡ุฐุง ุณูˆู‰ ุงู„ B ูุงู‡ู…ูŠุด ุจุญูƒูŠ ุงู†ุง ูุงู„ุงู† ุงู†ุชูˆุง
506
00:37:15,810 --> 00:37:20,870
ุนู†ุฏู…ุง ูˆุตู„ู†ุง ู„ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงุณุชุฎุฏู…ู†ุง grammar ุตุญุŸ ูˆ
507
00:37:20,870 --> 00:37:25,470
grammar ู„ู‡ ุนู„ุงู‚ุฉ ุจุงู„ .. ุจุงู„ .. ุจุงู„ .. ุจุงู„ู…ุตููˆูุฉ ูˆ
508
00:37:25,470 --> 00:37:28,510
ุจุงู„ determinant ูˆ ุจุงู„ุงู…ูˆุฑ ู‡ุฐู‡ ูƒู„ู‡ุง ูˆ ู…ู…ูƒู† ูŠุงุฎุฏ ู…ู†ูŠ
509
00:37:28,510 --> 00:37:32,170
ูˆู‚ุช ูƒุชูŠุฑ ุฑูˆุญูˆุง ููƒุฑูˆุง ู‡ุฏูˆู„ ุงู„ู†ุงุณ ู‚ุงู„ูˆุง ุดูˆ ุฑุฃูŠูƒูˆุง
510
00:37:32,170 --> 00:37:36,910
ู†ุนู…ู„ algorithm ุงู‡ุŸุจุทุฑูŠู‚ุฉ ุงู„ุชุชุงุจุนุฉ ุงู„ recursive
511
00:37:36,910 --> 00:37:39,770
ูู†ุจุฏุฃ ููŠ initial value ู…ู† ุฃุฎุฏุช ุงู„ numerical
512
00:37:39,770 --> 00:37:44,890
analysis ุชุญู„ูŠู„ ุนุฏุฏ ุฃูŠู‡ ูƒู„ ูƒูˆ ุฒูŠ Newton-Raphson
513
00:37:44,890 --> 00:37:49,210
method ู‡ุงูŠ ุนุงุฑููŠู†ู‡ุง ูููŠ initial value ู„ู…ู† ู„ุงู„ููŠุงุช
514
00:37:49,210 --> 00:37:55,680
ุจู†ุจุฏุฃ ููŠู‡ุง ูˆู…ู† ุซู… ุจู†ุจุฏุฃ ุจู…ู† ูุงูŠ ุชุชุจุนู‡ุง ุชุงุจุน ู„ู…ู†ู„ู„
515
00:37:55,680 --> 00:37:59,340
initial ูˆ ุจู†ุนู…ู„ update ูˆ ู‡ูƒุฐุง .. ุงู‡ .. ู‡ุฐุง
516
00:37:59,340 --> 00:38:02,580
algorithm ูŠุนู†ูŠ .. ุงู‡ .. ู‡ูˆ ู‡ูŠูƒ .. ุงู‡ ุฎู„ุงุต ุงุญูุธูˆุง
517
00:38:02,580 --> 00:38:06,440
ู‡ูŠูƒ ุฃู†ุง ุนุงุฑู .. ุจุณ ุฅู„ู‡ ุนู„ุงู‚ุฉ ุจู…ูŠู†ุŸ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ
518
00:38:06,440 --> 00:38:10,760
ูˆุตู„ุชูˆู„ู‡ุง ุฒู…ุงู† ู„ .. ู„ .. ู„ุดูˆ ุงุณู…ู‡ ุฏุงูƒู‡ุŸ grammar ..
519
00:38:10,760 --> 00:38:15,680
ุงู‡ ูˆุตู„ู†ุง ู„ู‡ ูˆ ุทู„ุนูˆุง ุจุงู„ุทุฑูŠู‚ุฉ .. ูƒูŠู ุจุชุญูุธูƒูˆุง ูŠุงู‡ุŸ
520
00:38:15,680 --> 00:38:18,720
ูˆุงู„ู„ู‡ ุฃู†ุง ุนุงุฑู .. ุงุญูุธูˆุง ูŠุง ุจู†ุงุช .. ุจุนูŠู†ูƒู… ุงู„ู„ู‡ ..
521
00:38:18,720 --> 00:38:22,180
ู‡ุฌูŠุจู‡ู…
522
00:38:22,180 --> 00:38:23,380
ููŠ ุงู„ุงู…ุชุญุงู† ูˆู„ุง ุงุญูุธุŸ
523
00:38:27,180 --> 00:38:34,280
ู„ุฃ ุงุณู…ุนู‡ ุจุฌูŠุจู‡ ุจุฌูŠุจู‡ ุญูุธ ุตุนุจ ุญูุธ ุจุตุฑุงุญุฉ ุงู‡ ู„ุฃ ุตุนุจ
524
00:38:34,280 --> 00:38:39,900
ุจุฌูŠุจู‡ okay ุจุฌูŠุจู‡ ุจุณ ุจุณุงุด ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุตุงุฑ ูŠุนู†ูŠ
525
00:38:39,900 --> 00:38:44,820
ุงู„ุณุคุงู„ ุฃุตุจุญ ู…ุงู„ู‡ ุตุงุฑ ุณุคุงู„ ุชุทุจูŠู‚ ุณู‡ู„ ู…ุถู…ูˆู† ุงู†ูƒูˆุง
526
00:38:44,820 --> 00:38:51,380
ุชุฌูŠุจูˆู‡ ู…ุงูŠุฌูŠุด ููŠ ุงู„ุงู…ุชุญุงู† ุทูŠุจ
527
00:38:51,380 --> 00:38:55,300
ุฎู„ุงุต ุงุณู…ุน ุงุณู…ุน ุจุฌูŠุจู„ูƒูˆุง ูŠุนู†ูŠ ุจุฌูŠุจู‡ู… ุงู„ู…ููŠุฏุฉ ุชุญูุธูˆู‡
528
00:38:55,750 --> 00:38:58,670
ุงุณู…ู‡ ุจู†ุฌูŠุจ ุงู„ูุงูŠุงุช ูŠุง ุจู†ุงุช ุงู„ู„ูŠ ู‚ุจู„ ุดูˆูŠุฉ ุฌูŠุจู†ุงู‡ู…
529
00:38:58,670 --> 00:39:01,530
ุจุทุฑูŠู‚ุฉ ุงู„ grammar ู„ุงู† ุจุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ู„ูŠ
530
00:39:01,530 --> 00:39:04,870
Vincent Derbูˆ ุงู„ algorithm ู‡ุฐู‡ ู…ู† ุฎู„ุงู„ ุงู„ุนู„ุงู‚ุฉ
531
00:39:04,870 --> 00:39:07,990
ุงู„ู„ูŠ ู…ุฎุทูˆุทุฉ .. ู…ุฎุทูˆุทุฉ ุจุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ู‡ุฏูˆู„ ูุฅุฐุง ุจู†ุฌูŠุจ
532
00:39:07,990 --> 00:39:11,590
ููŠ ุงู„ hat ูˆุณู…ูŠู†ุงู‡ุง hat ู„ุฅู† ู‡ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจู…ูŠู†
533
00:39:11,590 --> 00:39:16,930
ุจุงู„ุณู†ุจู† ูู‡ูŠ ุชูุนุทู‰ ุจุงู„ุนู„ุงู‚ุฉ ู‡ุฐู‡ .. ุฎู„ุงุต ู…ุด ุฌุฑูŠู‡ุง
534
00:39:16,930 --> 00:39:20,570
ู†ูŠุฌูŠ ุฏู‡ ูŠุนู†ูŠ ุฎู„ุงุต ุฃู†ุชูˆุง ุดุงูŠููŠู†ู‡ุง ุฃู…ุงู…ูƒูˆุง ูˆ ุงู„ู„ูŠ
535
00:39:20,570 --> 00:39:26,520
ุจุนุฏ ู…ู†ู‡ุง ุจู†ุฌูŠุจู‡ุง ุจุฑุถู‡ ุจู…ูŠู†ุŸ ุจู‡ุฏูˆู„ okayุŸูุงู†ุจู„ุด ู…ุซู„ุง
536
00:39:26,520 --> 00:39:31,220
ู„ูˆ ุจุฏูƒ ุชุฌูŠุจ ู…ุซู„ุง ุนู„ู‰ ุงูุชุฑุงุถ ุจุงู„ู…ู†ุงุณุจุฉ ููŠ ุญูŠุงุชูŠ
537
00:39:31,220 --> 00:39:33,800
ุงู„ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ุนู„ู‰ ุฃู†ู‡ุง ุงู„ initial value ุงู„ุชูŠ ู‡ูŠ
538
00:39:33,800 --> 00:39:36,620
ุชุณุงูˆูŠ ู…ูŠู†ุŸ ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ
539
00:39:36,620 --> 00:39:37,220
.. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ
540
00:39:37,220 --> 00:39:37,300
.. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ
541
00:39:37,300 --> 00:39:37,820
.. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ
542
00:39:37,820 --> 00:39:40,120
.. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ
543
00:39:40,120 --> 00:39:46,800
.. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ .. ุฑูˆุฉ
544
00:39:46,800 --> 00:39:55,200
.. ุฑูˆุฉ .. ุฑูˆุฉ ..ูˆุงุญุฏ ู†ุงุฌุณ ุฑูˆุญ .. ุงู‡ุŸ ูˆุดุจุชู‚ู‰
545
00:39:55,200 --> 00:39:59,760
ุจูƒุฑุงู…ู„ุŸ ุทู„ุนูˆุง ู„ุงู† ุงู„ .. Levinson-Durban .. ู…ุงููŠ
546
00:39:59,760 --> 00:40:04,460
Levinson-Durban ุจุณ Levinson .. Durban ู‡ู†ุง .. sorry
547
00:40:04,460 --> 00:40:07,780
Levinson-Durban method ุงู„ู„ูŠ ู„ุงู† ุทู„ุน ู†ูุณู‡ุง .. ูƒูŠู
548
00:40:07,780 --> 00:40:10,560
ุทู„ุน ุญูŠุงุชู†ุง ุนูˆุถ ุจุงู„ู„ู‡ุŸ ุนูˆุถูˆุง ู…ุนุงูŠุง ุณุงุนุฏูˆู†ูŠ ุงู„ู„ู‡
549
00:40:10,560 --> 00:40:17,260
ูŠุณู„ู…ูƒู…ุŒ ุฃู†ุง ุชุนุจุงู† ูƒูŠู ุญุตู„ุชูˆุง ุนู„ูŠุงุŸ ุงุณู…ุนูˆุง ุนุดุงู†
550
00:40:17,260 --> 00:40:19,780
ุชุญุตู„ูˆุง ุนู„ู‰ fight ู†ูŠู† ูˆุชู†ูŠู†ุŒ ุดูˆ ุฑุงูŠูƒูˆุง ุญุท ุงู„ edge
551
00:40:19,780 --> 00:40:25,960
ุจูˆุงุญุฏุŸูุฃุตุจุญ ุฏู‡ ู‡ูŠ ูุงูŠ ุชู†ูŠู† ุชู†ูŠู† ุงุชุณุงูˆูŠ ู…ูŠู† ุฑูˆ ุชู†ูŠู†
552
00:40:25,960 --> 00:40:33,780
ู†ุงู‚ุต summation ู…ู† ูˆุงุญุฏ ู„ูˆุงุญุฏ ููŠ ูˆุงุญุฏ ูˆูˆุงุญุฏ ู…ุงู‡ูŠ ููŠ
553
00:40:33,780 --> 00:40:42,100
ูˆุงุญุฏ ูˆูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูŠ ุงู„ูˆุงุญุฏ ููŠ ู…ูŠู† ููŠ ู†ูŠู† ู†ุงู‚ุต ูˆุงุญุฏ
554
00:40:42,100 --> 00:40:49,120
ูŠุนู†ูŠ ูˆุงุญุฏ ูŠุนู†ูŠ ุฃุตุจุญุช ุฑูˆ ุชุฑุจูŠู‡ุง ุนู„ู‰ ูˆุงุญุฏ ู†ุงู‚ุต
555
00:40:49,120 --> 00:40:55,830
summationู…ู† ูˆุงุญุฏ ู„ูˆ ูˆุงุญุฏ ููŠ ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูŠ ุฑูˆ ูˆุงุญุฏ
556
00:40:55,830 --> 00:40:59,730
ู…ุถุฑูˆุจ ู…ู† ู…ูŠู† ููŠ ุฑูˆ ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูŠ ุฑูˆ ูˆุงุญุฏ ุงุฐุง ุนุฑูุช
557
00:40:59,730 --> 00:41:04,170
ูู‡ุฐู‡ ุทุจ ูˆุงุฌุจูˆู„ูŠ ู…ุซู„ุง ููŠ ุชู†ูŠู† ูˆูˆุงุญุฏ ููŠ ูˆูŠู†
558
00:41:04,170 --> 00:41:11,490
ุงู„ุชูˆุงุถุนุงุช ููŠ ุงู„ุงุชุญุงุฏ ู…ู†ู‡ุง ูŠู„ุง ุชุญุท ุงู„ H ุจูˆุงุญุฏ ูุจุตูŠุฑ
559
00:41:11,490 --> 00:41:16,550
ููŠ ุชู†ูŠู† ูˆูˆุงุญุฏ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸูุงูŠ ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ู…ู†
560
00:41:16,550 --> 00:41:20,550
ู‡ูŠ ูุงูŠ ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ูŠุนู†ูŠ ู‡ุฐู‡ ููŠ ุงุฑูุนู‡ุง ูˆ ุงุญุท ู‚ุฏุฑู‡ุง
561
00:41:20,550 --> 00:41:28,370
roll ูˆุงุญุฏ ู†ุงู‚ุต ูุงูŠ ุฑูˆู„ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ู…ู† ู‡ูŠ ูุงูŠ
562
00:41:28,370 --> 00:41:31,810
ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐุง ุนุฑูุชูˆุง ู„ูŠุด ูƒุงุฑุซู ุงู„ุขู†
563
00:41:31,810 --> 00:41:38,110
ู„ุฅู† ู…ุฑุชุจุท ุจู…ูŠู† ุงู„ู„ูŠ ุฌุงุจู†ุง ุตุญ ู…ุถุฑูˆุจุฉ ููŠ ู…ูŠู†
564
00:41:54,490 --> 00:41:58,590
ุทูŠุจ ุชุทุจูŠู‚ ุนู…ู„ูŠ ู…ุซุงู„ ูˆุงุถุญ ุดูˆ ุฑุฃูŠูƒูˆุง ุจุงู„ู†ุณุจุฉ ู„ู„
565
00:41:58,590 --> 00:42:01,510
order regressive order 1 ู„ูˆ ุฃู†ุง ุฃุนุทูŠุชูƒ ุงู„ุขู†
566
00:42:05,650 --> 00:42:08,330
Autoregressive order ูˆุงุญุฏ ุทู„ุจุช ู…ู†ูƒ ุฌูŠุจูŠู‡ ุงู„ููŠุงุช
567
00:42:08,330 --> 00:42:13,050
ุชุจุนุช ูˆ ุงู„ partials ุจุงุณุชุฎุฏุงู… ู…ูŠู† ุทุจุนุง ุงู„ Vinson
568
00:42:13,050 --> 00:42:17,190
-Durban Algorithm ุจุงู„ู†ุณุจุฉ ู„ู„ Autoregressive order
569
00:42:17,190 --> 00:42:21,770
ูˆุงุญุฏ ูŠุง ุจู†ุงุช ุงุฐุง ูƒุงู† ููŠ ููŠู‡ ููŠ ูˆุงุญุฏุฉ ู…ูŠู† ู‡ูŠ ููŠ
570
00:42:21,770 --> 00:42:25,710
ูˆุงุญุฏุฉ ููŠ ูˆุงุญุฏุฉ ุงู‡ ู…ูŠู† ุชุทู„ุน ุฑุงุนุฉ ุฑุงุนุฉ ุฎู„ุตู†ุงู‡ ูˆ ุจุงู‚ู‰
571
00:42:25,710 --> 00:42:29,670
ุงู„ููŠุงุช ุฃุณูุฑ ุฃุณูุฑ ูˆุงุถุญุฉ ุทุจ ุจุงู„ู†ุณุจุฉ ู„ู„
572
00:42:29,670 --> 00:42:36,070
Autoregressive order ุชุงู†ูŠุฉููŠ ููŠ ููŠ ูˆุงุญุฏ ูˆุงุญุฏ ูˆููŠ
573
00:42:36,070 --> 00:42:40,750
ุงุชู†ูŠู† ุงุชู†ูŠู† ุงู‡ ูˆููŠ ุงุชู†ูŠู† ูˆุงุญุฏ ู†ูŠุญ ุจุชุนุฑู ุชุฌูŠุจู‡ู… ู‡ู…
574
00:42:40,750 --> 00:42:45,610
ุฏูˆู„ ุจุงู„ algorithm ุทุจ ุงุณู…ุน ุงู‚ูˆู„ูƒูˆุง ุดุบู„ ูˆุงุญุฏ ุฏู‡ ู‡ุฐุง
575
00:42:45,610 --> 00:42:50,010
ุงุนุชุจุฑูˆุง ุงู† ุงู†ุง ุงุนุทูŠุชู‡ ู„ู„ุนู„ู… ู†ูŠุญ ู‡ู„ุฃ ุจุงู„ุงู…ุชุญุงู†
576
00:42:50,010 --> 00:42:53,170
ุงู„ู†ู‡ุงุฆูŠ ุงุฐุง ุงู†ุง ุฌูŠุจุชู‡ ูุนู„ุง ู…ู…ูƒู† ุงุฌูŠุจ ุจุฌูŠุจู„ูƒูˆุง
577
00:42:53,170 --> 00:42:58,610
ุงู„ู‚ุงู†ูˆู† ูˆ ุงุตุจุญ ู…ุฌุฑุฏ ุงู†ู‡ ุชุทุจูŠู‚ ููŠุนู†ูŠ ู…ุด ุตุนุจ ุงู‡ ู…ุด
578
00:42:58,610 --> 00:43:08,260
ุตุนุจ ูุฎู„ูŠู†ุง ู†ุฌู„ุจ ุนู„ูŠู‡ุงูˆ ู‡ุงูŠ ู…ุซุงู„ ูƒู…ุงู† ุชุงู†ูŠ ุฎู„ูŠู†ูŠ
579
00:43:08,260 --> 00:43:10,500
ุฃุชุทู„ุน ุฃู†ุง ูˆุงู„ู„ู‡ ู…ุนู„ุด ูŠุง ู…ุงู†ุงุช ุฃู†ุง ู…ุงุฒู„ุช ู…ุฑูŠุถ
580
00:43:10,500 --> 00:43:12,960
ู…ุงุจุฏูŠุด ุฃุญูƒูŠ ุงู†ุชูˆุง ุงุชุทู„ุนูˆุง ุนู„ูŠู‡ ู„ุญุงู„ูƒ ูˆ ู‚ูˆู„ูˆุง ู„ูŠ
581
00:43:12,960 --> 00:43:20,960
ูุงู‡ู…ูŠู† ูˆู„ุง ู„ุฃ ูŠู„ุง ู‡ูŠู†ูŠ ุจุฏูŠ ุฃุนู…ู„ ู‡ูŠูƒ ุฃู†ุง ุงูŠ
582
00:43:20,960 --> 00:43:28,320
ุทุงู„ุจ ู…ุด ูุงู‡ู… ุชู‚ูˆู„ู„ูŠ ู…ุด ูุงู‡ู…ุฉ ุฎู„ุงุต
583
00:43:28,320 --> 00:43:33,460
ู…ุงุถุญุŸุญู„ูˆ ุงู†ุง ุนุดุงู† ุตุฑุงุญุฉ ุจุฏูŠ ุงุฌู ู„ ..
584
00:43:33,460 --> 00:43:41,280
ูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆูˆ
585
00:44:02,030 --> 00:44:07,270
ุนุดุงู† ุงู„ moving average ูŠุง ุจู†ุงุช ุงุญู†ุง ุจู†ุนู…ู„ู‡ุง ู„ูˆ
586
00:44:07,270 --> 00:44:11,230
ูƒุงู†ุช ู‡ูŠ invertible ู…ุด ุจู†ู‚ุฏุฑ ู†ูƒุชุจู‡ุง ุนู„ู‰ ุตูŠุบุฉ auto
587
00:44:11,230 --> 00:44:14,800
-regressive of order infinityูŠุนู†ูŠ ุฑุงูŠุญุฉ ู„ู„
588
00:44:14,800 --> 00:44:18,760
infinity ูˆู„ุฐู„ูƒ ู„ูˆ ุฃู†ุง ุณุฃู„ุช ูˆุงุญุฏุฉ ู…ู†ูƒู… ููƒุฑูƒูˆุง ุฑุณู…ุฉ
589
00:44:18,760 --> 00:44:21,300
ุงู„ partial autocorrelation function ู„ู„ moving
590
00:44:21,300 --> 00:44:25,200
average ุจุชุชูˆู‚ุนูˆุง ููŠ cut-offุŸ ุจุฑุงููˆ ุนู„ูŠูƒู… ู…ุงููŠ cut
591
00:44:25,200 --> 00:44:28,740
-off ูˆู„ุง ุนู…ุฑู‡ ุจูŠูƒูˆู† ููŠ cut-off ู„ุฃู†ู‡ุง ุชูƒุชุน ุนู„ู‰ ุตูŠุบุฉ
592
00:44:28,740 --> 00:44:34,020
infinity rotoregressive ูˆู‡ู†ุง infinity ู…ุนู†ุงุชู‡ ุจูŠูƒูˆู†
593
00:44:34,020 --> 00:44:38,340
cut-off ุจุนุฏ ุงู„ infinity ูˆู„ุฐู„ูƒ ุฑุณู…ุชุงู„ู€ martial
594
00:44:38,340 --> 00:44:42,500
autocorrelation function ู„ู„ู€ moving average ุณุชูƒูˆู†
595
00:44:42,500 --> 00:44:47,960
ู…ุงู„ู‡ุง ู…ุงููŠุด cutoff ู‡ุชูƒูˆู† tail off ุจุณู…ู‡ุง tails off
596
00:44:47,960 --> 00:44:52,120
ุดูˆ ูŠุนู†ูŠ tails off ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุชุชู†ุงู‚ุต ุชุชู†ุงู‚ุต
597
00:44:52,120 --> 00:44:57,120
ุชุชู†ุงู‚ุต ูˆู„ูƒู† ูŠู…ูƒู† ุฃู† ุชู‚ูˆู„ ุฅู„ู‰ ู…ูŠู† ุงู„ zero ู…ุงููŠุด
598
00:44:57,120 --> 00:45:00,800
cutoff ูŠุนู†ูŠ ุฒูŠ exponential decay ุจุณู…ู‡ุง ุนุงุฑู ุงูŠู‡
599
00:45:00,800 --> 00:45:04,020
ุฑุณู…ู†ุงู‡ุง ู‚ุจู„ ุฐู„ูƒ ุตุญุŸ ุงู„ู„ูŠ ู‡ูŠ ู‡ูŠ ุฑุณู…ุชู‡ุง
600
00:45:08,330 --> 00:45:14,350
ู‡ูƒ ุจุชุชูˆู‚ุน ุฑุณู…ุชู‡ุง ู‡ูŠูƒูˆู† ูƒุฏู‡ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ
601
00:45:14,350 --> 00:45:18,630
ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ
602
00:45:18,630 --> 00:45:24,210
ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ
603
00:45:24,210 --> 00:45:29,530
ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ
604
00:45:29,530 --> 00:45:36,690
ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ ู‡ูƒ
605
00:45:36,690 --> 00:45:39,330
ู‡ูƒ ู‡ุงุญูุธูˆุง ุจุฅู†ูƒูˆุง ุงู„ู„ู‡
606
00:45:43,550 --> 00:45:47,970
ุทุจ ุจุฏุฃ ุงุณุฃู„ูƒูˆุง ุจุงู„ู†ุณุจุฉ ู„ู„ุงุฑู…ุฉุŒ ุงู„ุงุฑู…ุฉ ุนุงุฑููŠู†
607
00:45:47,970 --> 00:45:52,450
ุงู„ุงุฑู…ุฉ ู…ูˆุฏูŠู„ุŸ ู…ุด ู‡ูŠ ู…ู…ูƒู† ู†ูƒุชุจู‡ุง ุนู„ู‰ ุทุฑูŠู‚ุฉ infinity
608
00:45:52,450 --> 00:45:55,550
ุจุฑุถู‡ auto-regressive ู„ูˆ ูƒุงู†ุช invertable ูŠุจู‚ู‰
609
00:45:55,550 --> 00:45:58,670
ุงู„ุงุฑู…ุฉ ุดูˆ ุจุชุชูˆู‚ุนูˆุง ูŠุง ุจู†ุงุชุŸ ุจุฑุถู‡ ู‡ู†ุง ุงู„ partial
610
00:45:58,670 --> 00:46:01,570
auto-correlation ูŠูƒูˆู† ููŠ cut-off ูˆู„ุง tails-offุŸ
611
00:46:01,570 --> 00:46:05,610
tails-off ุนู„ู‰ ูƒู„ู…ุฉ cut-off ูŠุนู†ูŠ ุฅูŠุดุŸ ูŠุนู†ูŠ ู‚ุทุนุŒ
612
00:46:05,610 --> 00:46:08,330
ูŠุนู†ูŠ ุฃุณูุงุฑุŒ ู‡ูŠูƒ ู…ุนู†ุงุฉ tails-off ูŠุนู†ูŠ ุฅูŠุดุŸ ู„ุฃ ู…ุด
613
00:46:08,330 --> 00:46:12,050
ุฃุณูุงุฑุŒ ููŠ ุชูˆุงุตู„ ูˆููŠ ุชูŠู‡ ุจูŠุณู…ูˆู‡ decayุŒ decay ูŠุนู†ูŠ
614
00:46:12,050 --> 00:46:18,120
ุชู†ุงู‚ุตุญู„ูˆ ุทูŠุจ ู„ู„ุนู„ู… ูŠุง ุจู†ุงุช ูˆ ู‡ุฐุง ุงู„ุดูŠุก ุงู„ู„ูŠ ู…ูˆู„ุงู‡
615
00:46:18,120 --> 00:46:20,880
ู‡ุงุฌู„ู‡ ููŠู‡ ู…ุงุจุนู‡ ู„ู„ุนู„ู… ุฑุณู…ุฉ ุงู„ partial
616
00:46:20,880 --> 00:46:23,500
autocorrelation function ู„ู„ moving average ู‡ูŠ
617
00:46:23,500 --> 00:46:26,980
ู†ูุณู‡ุง ุชูƒูˆู† ุดุจูŠู‡ุฉ ุจุฑุณู…ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ autocorrelation
618
00:46:26,980 --> 00:46:32,220
function ู„ู…ูŠู† ู„ู„ autoregressive ุนูƒุณ ุจู‚ู‰ ูู„ูˆ ุฑุณู…ุชูˆุง
619
00:46:32,220 --> 00:46:37,200
ุงู„ partial ู„ู„ moving average ู‡ุชู„ุงู‚ูˆุง ู†ูุณ ุฑุณู…ุฉ ุฃูˆ
620
00:46:37,200 --> 00:46:40,120
ุดุจูŠู‡ุฉ ุจู…ูŠู† ุจุงู„ autocorrelation ู„ู…ูŠู† ู„ู„
621
00:46:40,120 --> 00:46:43,150
autoregressive ูˆ ููŠ ุงู„ู…ู‚ุงุจู„ุฑุณู…ุฉ ุงู„ู€ partial
622
00:46:43,150 --> 00:46:45,790
autocorrelation function ู„ู„ู€ autoregressive ุณุชูƒูˆู†
623
00:46:45,790 --> 00:46:50,090
ุดุจูŠู‡ุฉ ุจู…ูŠู†ุŸ ุจุงู„ู€ autocorrelation ุชุจุน ุงู„ู€ moving
624
00:46:50,090 --> 00:46:53,950
averageุŒ ู…ูŠู† ุฐุงูƒุฑู‡ุงุŸ ุงุญู†ุง ุนุทู†ุงู‡ุงุŒ ู…ูŠู† ุฐุงูƒุฑู‡ุงุŸ ู…ู†
625
00:46:53,950 --> 00:46:56,510
ุงู„ู„ูŠ ุงู†ุชูˆุง ูƒุงู†ูˆุง ููŠู‡ ุงู…ุชุนุงู†ุฉ ู†ุตู ุฏุงุฎู„ุŒ ุฑุณู…ุฉ ุงู„ู€
626
00:46:56,510 --> 00:46:58,950
moving averageุŒ ุงู„ autocorrelation ูƒุงู†ุชุŒ ู…ุด ููŠู‡
627
00:46:58,950 --> 00:47:03,750
ูƒุงู† cut offุŸ ุฐุงูƒุฑูŠู†ู‡ุงุŸุฃูŠูˆุฉ ุจุฑุงููˆ ุนู„ูŠูƒ ู„ู…ุง ูƒู†ุง
628
00:47:03,750 --> 00:47:07,350
ุจู†ุนุฏู„ ุฎุทูˆุท ููƒุงู† ููŠ cut off ู„ ู…ูŠู† ู„ู„ auto
629
00:47:07,350 --> 00:47:10,930
correlation function ุชุจุนุช ู…ูŠู† ุงู„ moving eye ุจู†ูุณ
630
00:47:10,930 --> 00:47:15,610
ุงู„ู…ูู‡ูˆู… ุงู„ูŠูˆู… ุชุจุน ู…ูŠู† ุงู„ partial auto correlation
631
00:47:15,610 --> 00:47:18,410
function ู„ ู…ูŠู† ุงู„ autoregressive ูŠุจู‚ู‰ ุงู„ุฃู† ูู‡ู…ู†ุง
632
00:47:18,410 --> 00:47:21,410
ุงู„ุฃู† ุจุตู…ุชู‡ู… ู…ุน ุจุนุถ ุจุฅุฐู† ุงู„ู„ู‡ ุงู„ุณุจูˆุน ุงู„ู„ูŠ ุฌุงูŠ
633
00:47:21,410 --> 00:47:24,730
ุจู†ุจุชุฏุด ู†ุญูƒูŠ ุนู„ูŠู‡ุง ุจุชูุงุตูŠู„ ุฃูƒุชุฑ ุงุณู…ู‡ุง ุจู†ุงุน ุงู†ุง ุนู†ุฏูŠ
634
00:47:24,730 --> 00:47:27,090
ุทุจุนุง two slides ุงู„ slide ู‡ุฐู‡ ู‡ูŠ ุฅุจุนุงุฏ ุนู†
635
00:47:27,090 --> 00:47:32,210
simulation ู…ุงููŠู‡ุง ุดูŠ ุฌุฏูŠุฏู…ุด ู‡ุญูƒูŠ ููŠู‡ุง ู…ุน two
636
00:47:32,210 --> 00:47:37,410
minutes ุจุฏูŠ ุฃุญูƒูŠ ููŠ ุงู„ slide ู‡ุฐูŠุงู„ุงู† ุฎุทูŠู† ุงู„ุฒุฑุงุฌ
637
00:47:37,410 --> 00:47:41,490
ุงู„ู„ู‰ ู„ู…ุง ุจุฏุฃุช ุงู„ูุตู„ ูˆุงู†ุช ุงุณุชุงุฐู†ุง ูˆุงู†ุช ู†ุงุฒู„ ุชู‚ูˆู„ู†ุง
638
00:47:41,490 --> 00:47:45,290
ุฎุทูŠู† ุฒุฑุงุฌ ุฎุทูŠู† ุฒุฑุงุฌ ู‡ู… ู…ุตู…ูˆู… ู…ุด ุฎุทูŠู† ุฒุฑุงุฌ ู‡ู… ุงูŠู‡
639
00:47:45,290 --> 00:47:49,490
ูุชุฑุงุช ุงู„ุซู‚ุฉ ุงู„ู„ู‰ ู„ูˆ ุฒุงุฏูˆุง ุนู„ูŠู‡ู… ุจุชูƒูˆู† ููŠู‡
640
00:47:49,490 --> 00:47:53,570
confidence ุจุชูƒูˆู† ููŠู‡ ุนู†ุฏู‡ ุงู†ุง ู…ุนู†ู‰ ูˆุดูŠุก ุงู†ู‡ ููŠู‡
641
00:47:53,570 --> 00:47:57,790
ุงุฑุชุจุงุท ู„ูˆ ู…ุงุฒุงุฏูˆุด ุนู„ูŠู‡ู… ุจูŠูƒูˆู† ู…ุงู„ู‡ู… ุทุจ ุงู„ุฎุทูŠู†
642
00:47:57,790 --> 00:48:01,130
ุงู„ุฒุฑุงุฌ ุนุงุฑููŠู† ูƒูŠู ุจู†ุฌุงุจู‡ ู‡ุฏูˆู„ุŸ ุจู†ุฌุงุจู‡ ู…ู† ุงู„ุนู„ุงู‚ุฉ
643
00:48:01,130 --> 00:48:06,240
ู‡ุงูŠ ุงู„ู„ู‰ ู‡ูŠ ุนุจุงุฑุฉ ุนู† plus or minusุชู†ูŠู† ุนู„ู‰ ุฌุฒุฑ
644
00:48:06,240 --> 00:48:10,240
ุงู„ุชู†ูŠู† ู‡ูˆ ุญู‚ูŠู‚ุฉ ู…ุด ุชู†ูŠู† ู‡ูŠ ุญู‚ูŠู‚ุฉ plus or minus
645
00:48:10,240 --> 00:48:14,540
ูˆุงุญุฏ ูˆุชุณุนุฉ ูˆุณุช .. ุฌุฒุฑ .. ูˆุณุชุฉ ูˆุฏุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ
646
00:48:14,540 --> 00:48:18,860
ุชู‚ุณูŠู… ุฌุฒุฑ ุงู„ุฃู† ุนุงุฑููŠู† ู…ู† ู‡ูŠ ุงู„ุฃู†ุŸ ุญุฌู… ุงู„ุนูŠู†ุฉ ุฃูˆ
647
00:48:18,860 --> 00:48:22,540
ุทูˆู„ ุงู„ series ูŠุนู†ูŠ ูŠุง ุจู†ุงุช ู„ูˆ ุฃู†ุง ุณุฃู„ุช ูˆุงุญุฏุฉ ู…ู†ูƒู…
648
00:48:22,540 --> 00:48:27,060
series ุทูˆู„ู‡ุง ู…ูŠุฉ ุฌุฏุด ุงู„ confidence limit ุชุชูˆู‚ุน
649
00:48:27,060 --> 00:48:32,500
ุนู„ูŠู„ู‡ู… ุงู„ุฎุท ู†ุฒู„ูˆู‡ ู„ูˆ ูˆุตู„ุชูˆู‡ ู‡ูŠูƒูˆู† ุฎุท plus ุงุชู†ูŠู†
650
00:48:32,500 --> 00:48:38,940
ุนู„ู‰ ุนุดุฑุฉูˆ ุงู„ุฎุท ุงู„ุชุงู†ูŠ ุซุงู„ุซ ุงุชู†ูŠู† ูŠุนู†ูŠ ุงุชู†ูŠู† ุนู„ู‰
651
00:48:38,940 --> 00:48:43,080
ุนุดุฑุฉ ุฎู…ุณ ุงุชู†ูŠู† ุนู„ู‰ ุนุดุฑุฉ ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ ุงุชู†ูŠู† ู…ู†
652
00:48:43,080 --> 00:48:47,220
ุนุดุฑุฉ ู„ุฃ ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ ุจุงู„ู…ูˆุฌุฉ ุซุงู„ุซ
653
00:48:47,220 --> 00:48:49,120
ุงุชู†ูŠู† ูˆ ู„ุง ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ ุจุงู„ู…ูˆุฌุฉ ุซุงู„ุซ ุงุชู†ูŠู† ูˆ ู„ุง
654
00:48:49,120 --> 00:48:51,180
ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ ุจุงู„ู…ูˆุฌุฉ ุซุงู„ุซ ุงุชู†ูŠู† ูˆ ู„ุฃ ุงุชู†ูŠู† ู…ู†
655
00:48:51,180 --> 00:48:51,400
ุนุดุฑุฉ ุจุงู„ู…ูˆุฌุฉ ุซุงู„ุซ ุงุชู†ูŠู† ูˆ ู„ุฃ ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ ุจุงู„ู…ูˆุฌุฉ
656
00:48:51,400 --> 00:48:54,220
ุซุงู„ุซ ุงุชู†ูŠู† ูˆ ู„ุฃ ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ ุจุงู„ู…ูˆุฌุฉ ุซุงู„ุซ ุงุชู†ูŠู†
657
00:48:54,220 --> 00:48:58,220
ู…ู† ุนุดุฑุฉ ุจุงู„ู…ูˆุฌุฉ ุซุงู„ุซ ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ ุจุงู„ู…ูˆุฌุฉ ุซุงู„ุซ
658
00:48:58,220 --> 00:49:03,020
ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ
659
00:49:03,020 --> 00:49:08,580
ุจุงู„ู…ูˆุฌุงู†ุช ู…ุฑุญุฒุฉ negative ู…ุณุชุญูŠู„
660
00:49:08,580 --> 00:49:12,680
ุงู†ุช ุจุชูƒูˆู† ุดุงูŠูู‡ุง ู„ุฃ ู‡ูŠ plus ูˆ minus ุจุงู„ positive
661
00:49:12,680 --> 00:49:17,420
ูŠุนู†ูŠ ุงู†ุช ุนู†ุฏูƒ plus ุชู†ูŠู† ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู† ุงูˆ negative
662
00:49:17,420 --> 00:49:21,180
ุชู†ูŠู† ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู† ูู‡ูŠ ูŠุง ู…ูˆุฌุฉ ุจูŠุณุงู„ูŠู‡ ุจุณ ู‡ู…
663
00:49:21,180 --> 00:49:28,180
ุจุฑุณู…ูˆู‡ุง ุบุงู„ุจุง ููˆู‚ ู„ุฃ ู…ู…ูƒู† ุชูƒูˆู† ููˆู‚ ุจุชูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ
664
00:49:28,180 --> 00:49:32,280
ู‡ุฐู‡ ู„ู…ุง ู†ูƒูˆู† ู…ุด ..
665
00:49:35,650 --> 00:49:39,790
ุงู‡ ู„ูˆ ุงู„ .. ุงู‡ ู„ูˆ ุงู„ .. ุงู†ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู…ูŠู† ูˆ ุงู„ุงุฎุฑ
666
00:49:39,790 --> 00:49:42,950
ูŠุง ุงู‡ุŒ ุจุณ ู‡ูˆ ุจุดูƒู„ ุนุงู… ุจูƒูˆู† ู‡ูŠ ู‡ูŠูƒุŒ ุงู†ุง ุจุญูƒูŠ ุนู†
667
00:49:42,950 --> 00:49:48,170
ุงู„ุฑูˆุฒูŠ ุฏู„ูˆู‚ุชุทูŠุจ ุจูƒููŠ ู‡ุฐู‡ ู…ู† ูƒู„ .. ู‡ู„ุฃ ู‡ุฐู‡
668
00:49:48,170 --> 00:49:50,410
ุจุงู„ู…ู†ุงุณุจุฉ ุฃุฎุฑ ูˆุงุญุฏุฉ ู‡ูˆ .. ู†ุฎุชู… ุนู†ุฏู‡ุง ุฃู†ุง ู…ุนู„ูˆู…ุด
669
00:49:50,410 --> 00:49:53,670
ู…ู†ู‡ุง .. ู‡ุฐู‡ ุฃุฎุฑ ู…ู„ุงุญุธุฉ ุงู„ู„ูŠ ู‡ุงู† ู„ู„ุฃุณู ุฃู†ุง ุงู„ูˆู‚ุช
670
00:49:53,670 --> 00:49:57,050
ุฃุฏุฑูƒู†ูŠ ูˆ ุจุญุงูˆู„ ุฃุณุฑุน ููŠ ุงู„ูƒู„ุงู… ูˆู„ูƒู† ุฃุฎุฑ ู…ู„ุงุญุธุฉ ู‡ูŠ
671
00:49:57,050 --> 00:49:59,730
ุงู„ู„ูŠ ุฃู†ุง ู‚ุจู„ ุดูˆูŠุฉ ูƒุชุจุชู„ูƒูˆุง ุจุงู„ R .. ุดูˆูุชูˆุง ู„ู…ุง
672
00:49:59,730 --> 00:50:04,350
ุญุงูˆู„ุช ุงู†ุง ู‚ุฏุฑ ุงุณุชุทุงุนุฉ ุงู†ูŠ ุฃุฌู„ูƒูˆุง ุงู†ู‡ ูŠุนู†ูŠ ูŠุฒูŠุฏ ุนู†
673
00:50:04,350 --> 00:50:07,620
ุงู„ู„ูŠ ู‡ูˆ ุงู„ limitsู„ู…ุง ุญุชู‰ ุจุงู„ white noise ูุงู„ุงุฎุฑ
674
00:50:07,620 --> 00:50:11,580
ู…ู„ุงุญุธุฉ ุจูŠู‚ูˆู„ูƒ ุงู† testing ุงู„ randomness based on
675
00:50:11,580 --> 00:50:14,620
the individual autocorrelation function ุงูˆ ุงู„
676
00:50:14,620 --> 00:50:17,100
partial autocorrelation function misleading ุดูˆ
677
00:50:17,100 --> 00:50:22,060
ูŠุนู†ูŠ misleadingุŸ ูŠุนู†ูŠ ู…ุด ุตุญูŠุญ ู…ู…ูƒู† ูŠู‚ูˆุฏ ู„ู„ู‚ุฑุงุฑ ู…ุด
678
00:50:22,060 --> 00:50:27,460
ุณู„ูŠู…ุŒ ุงู†ุช ุนุงุฑููŠู†ุŸ ุจุฏูŠ ุฃุฌู ู‡ู†ุงุŒ ุจุฏูŠุด ุฃู…ุดูŠ ู‡ู†ุง ู‡ูŠูƒ
679
00:50:27,460 --> 00:50:29,420
ุงู„ุดุบู„ุŒ ู‡ุฐู‡ ุงู„ slide ุจุฏูŠ ุฃุฑุฌุน ู„ู„ู…ุญุงุถุฑุฉ ุงู„ุฌุฏูŠุฏุฉ
680
00:50:30,940 --> 00:50:34,000
ูุงุนุชุจุฑูˆุง ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ ุฃุฎุฑ ุฎู…ุณ ุฏู‚ุงูŠู‚ุŒ ูŠุนู†ูŠ ุฃุฎุฑ
681
00:50:34,000 --> 00:50:37,500
ุฏู‚ูŠู‚ุฉุŒ ู…ู† ุฏุฑุฌุฉ ุนุงู„ู… ุฏู‡ุŒ ูˆ ู‡ุฐุง ู…ู‡ู… ู„ุตุฏุงู‚ุชูŠุŒ ูŠู„ุง
682
00:50:37,500 --> 00:50:37,940
ุงุนุทูŠูƒ ุงู„ู€R