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ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุทูŠุจ ูŠุง ุจู†ุงุช ู‚ู„ุชู„ูƒูˆุง
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ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุงุฐูƒุฑูˆู†ูŠ ููŠู‡ ุงู†ู‡ ููŠ ุนู†ุฏู‰ ูˆุงู‚ุฉ
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slide ุงูŠู†ู‡ุง ุงู†ุณูŠุช ุงุญูƒูŠู‡ุง ุจุณ ู‡ุงูŠ ูŠุนู†ูŠ ู‡ูŠ ุญู‚ูŠู‚ุฉ ู…ุด
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ู…ู‡ู…ุฉ ูƒุชูŠุฑ ููŠ ุงู„ุชุทุจูŠู‚ ุงู„ุนู…ู„ูŠ ุจู‚ุฏุฑ ุงู†ู‡ ู‡ูŠ ู…ุนู„ูˆู…ุฉ
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ู„ุงุฒู… ูŠุนุฑูู‡ุง ูŠุนู†ูŠ ููŠ ุงู„ุนู…ู„ุจุตุฑุงุญุฉ ู‡ู†ุฏุฑุณ ุจุงู„ุชูุงุตูŠู„
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ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู…ูƒุชูˆุจ ุจุงู„ุฃุฒุฑู‚ ุฃู…ุงู…ูƒู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ board
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man to test statistics ุนู„ู‰ ุฅุชุญุงุฏ ุนู„ู‰ ุงู„ slide ู‡ุฐู‡
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ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุฎุทูˆุฉ ุฃูˆู„ู‰ ู„ุฅู†ู‡ ู†ุดูˆู ูŠุง ุชุฑู‰ ู‡ู„ ููŠ auto
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correlation ูˆู„ุง ู…ุงููŠุด ูู‡ู†ุง ุนุจุงุฑุฉ ุนู† testing
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randomness ุงู„ู„ูŠ ู‡ูŠ ุงุฎุชุจุงุฑ ุนุดูˆูŠุฉ based on
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individual auto correlation ู‚ุจู„ ู…ุง ุฃู†ุณู‰ุงู„ slide
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ุงู„ู„ูŠ ุฃู…ุงู…ูŠ ู‡ุฐู‡ ู…ุงูŠู„ู‡ุง ุนู„ุงู‚ุฉ ููŠ ู…ุญุงุถุฑุฉ ุงู„ูŠูˆู…ุŒ ู‡ูŠ
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ูู‚ุท ู…ุนู„ูˆู…ุฉ ุจุชุนุทูŠู‡ุง ุฎู„ุงู„ ุชู„ุช ุงุฑุจุน ุฏู‚ุงุฆู‚ุŒ ุฎู…ุณ ุฏู‚ุงุฆู‚
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ูˆ ู…ู† ุซู… ู†ู„ุชู‚ู‰ ู„ู…ุญุงุถุฑุฉ ุงู„ูŠูˆู…ุนู„ู‰ ูŠุชู‡ุงุฏ ุนู„ู‰ ุงู„ slide
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ู‡ุฐู‡ ุงู„ู„ูŠ ุฃู…ุงู…ูŠ ุจู†ุญูƒูŠ ุจุฅู†ู‡ ูŠุง ุชุฑู‰ ูŠุง ุจู†ุงุช ูƒูŠู ุงุญู†ุง
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ู…ู…ูƒู† ู†ุนู…ู„ ุงุฎุชุจุงุฑ ุงู†ู‡ ูŠุง ุชุฑู‰ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ุฃู…ุงู…ูŠ
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ุจูŠุงู†ุงุช ุงู„ุฃู…ุงู„ูŠ ุงู„ู„ูŠ ุญู‚ูŠู‚ูŠุฉ application ู‡ู„ ูŠุง ุชุฑู‰
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ููŠ ุนุดูˆุงุฆูŠุฉ ู‡ู† ููŠ white noise ูˆู„ุง ู…ุงููŠ ุชู…ุงู… ุงุฎุชุจุงุฑ
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ุงุนุชู…ุงุฏ ุนู„ู‰ ุงุนุชู…ุงุฏ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ู…ู† ุงู„ auto
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correlations ุงู„ individual auto correlations ูŠุนู†ูŠ
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ุฑูˆ ูˆุงุญุฏ ุฑูˆ ุชู†ูŠู† ุฑูˆ ุชู„ุงุชุฉ ูˆู‡ุง ูƒุฏู‡ ูƒู„ ูˆุงุญุฏุฉ ุจุงู„ุฐุงุช
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ูุญู‚ูŠู‚ุฉ ููŠ ุงู„ุจุฏุงูŠุฉ ุจู†ู„ุงุญุธ ุงู†ู‡ ุงุญู†ุง ุนุดุงู† ู†ุญุฏุฏ ุงู„ู„ูŠ
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ู‡ูˆ ุงู„ auto correlation ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ูŠู… ุชุจุนุงุชู‡ู… ุงูˆ ุงู„
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partial auto correlation whether they are
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negligible or not ูŠุนู†ูŠ ุงุฐุง ูƒุงู†ูˆุง ุจู†ู‡ู…ู„ู‡ู… ูˆู„ุง
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ุจู†ู‡ู…ู„ู‡ู…ุด ุญุทูˆุง ููŠ ุนูŠู† ุงู„ุงุนุชุจุงุฑ ูŠุง ุจู†ุงุช ุงู†ู‡ ุงู„ู„ูŠ ู‡ูˆ
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ุงู„ auto correlation function royal ุงู„ู‡ุง standard
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deviation ุจุณูˆุฉ ูˆุงุญุฏ ุนู„ู‰ ุฌุฒุฑ ุงู„ุฃู„ู†ู‚ ุชู‚ุฑูŠุจุงุชู‚ุฑูŠุจุง
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ูˆุงุญุฏ ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู† ุงู†ุง ุงุญู†ุง ูƒูŠู ู†ุดุชู‚ู‡ุง ุงู† ุดุงุก ุงู„ู„ู‡
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ููŠู…ุง ุจุนุฏ ุงู† ุงุฐุง ูƒุงู† ููŠ ูˆู‚ุช ู†ุดุชู‚ู‡ุง ุจุณ ู…ุจุฏุฃูŠู‡ ู†ุนุฑู
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ุงู† ุงู„ raw ู‡ุงูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ raw ู‡ู… ุงู„ rows ุงู„ auto
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correlations ู‡ุฏูˆู„ standard deviation ุชุจุนู‡ู… ุงูˆ
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standard ุงู„ู„ูŠ ู‡ูˆ deviation ุงูˆ standard deviation
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ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ุฌุงุฒุฑ ุงู„ุงู†ูˆุจู†ุงู† ุนู„ูŠู‡ ู„ู…ุง ู†ุจุฏุฃ ู†ุนู…ู„
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ุงุฎุชุจุงุฑ ุนู†ุฏู‡ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ level ุนุงุฑููŠู† ู…ุณุชูˆู‰
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ุงู„ุฏู„ุงู„ุฉ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู…ุณุชูˆู‰ ุงู„ุฏู„ุงู„ุฉ
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ุฅุฐุง ุงูุชุฑุถู†ุง ุงู„ู…ุฎุชุจุงุฑ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ู„ุฅู„ู‡ ูุงู„ z
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alpha ุนู„ู‰ ุงุชู†ูŠู†ุŒ ุฐุงูƒุฑูŠู†ู‡ุง z alphaุŸ ุงู„ู„ูŠ ู‡ูŠ based
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on normal distribution ุงู„ู„ูŠ ู‡ูŠ ุงู„ู‚ูŠู… ุงู„ู…ุฌุฏูˆู„ุฉ ุนู„ู‰
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ุงู„ูŠู…ูŠู† ูˆุนู„ู‰ ุงู„ุดู…ุงู„ุŒ ุฅุฐุง ุฐุงูƒุฑูŠู† ููŠ ุงู„ุฅุญุตุงุกุงู„ู‚ูŠู…ุฉ
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ู‡ุฐู‡ ุชุณุงูˆูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† 1.96 ุนู„ู‰ ุงู„ูŠุณุงุฑ 1 ุณุงู„ุจ 1.96
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ุงู†ู‡ ุถุฑุจู‡ุง ููŠ ูˆุงุญุฏ ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู†ูุงู„ุฌูˆุงุจ ุงู„ู†ู‡ุงุฆูŠ
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ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุจูŠุทู„ุน ุจุณุงูˆูŠ plus or minus 2 ุนู„ู‰ ุฌุฒุฑ
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ุงู„ N ุนู„ู‰ ุงูุชุฑุงุถ ุงู†ูƒ ู‚ุฑุจุช ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ 1.96
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ุฅู„ู‰ ุงู„ู‚ูŠู…ุฉ ู…ูŠู†ุŸ 2 ู…ุงุดูŠุŸ ุจู†ูŠุช ุงู„ุฎุชูŠู† ุงู„ุฒุฑุฌ ุงู„ู„ูŠ
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ุฏูˆู„ุฉ ุงู„ู…ุญุงุถุฑุงุช ูˆ ุงู†ุง ุงู‚ูˆู„ูƒูˆุง ุฎุชูŠู† ุฒุฑุฌ ุฎุชูŠู† .. ู‡ู…
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ู…ุด ุฎุชูŠู† ุฒุฑุฌ ุฎุทูˆุท ู…ุชุบุทู‰ ุฒุฑุฌ ู‡ุฏูˆู„ุฉ ู‡ุฏูˆู„ุฉ ุงู„ู„ูŠ ู‡ู…
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ุงุณู…ู‡ู… ูƒู„ู‡ู… ุงู„ bounds ุงูˆ ุงู„ confidence limits ุงู‡
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ุงู„ู„ูŠ ุฌูˆุงู‡ู…ุฅุฐุง ูˆุฌุฏุช ุฑุณู…ุฉ ุฌูˆุงู‡ู… ู negligibleุŒ ุฅุฐุง
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ุนุฏุชู‡ู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ auto correlation ูŠุนู†ูŠ ุฃู‚ุณู…ุŒ ุงู„ู„ูŠ
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ู‡ูˆ ุงู„ individual auto correlationุŒ ุฌูˆุงู‡ู… ุจูŠูƒูˆู†
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ูŠุดู…ู„ู‡ุง negligibleุŒ ู…ู…ูƒู† ู†ู‡ู…ู„ู‡ุŒ ุจุฑุงุช ุงู„ confidence
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limits ุฏูˆู„ ุงู„ุฎุทูˆุท ุงู„ุฒุฑู‚ ุงู„ู„ูŠ ุฌุฏุงุด ุทูˆู„ู‡ู… ุจุงู„ู…ู†ุงุณุจุฉ
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00:04:07,980 --> 00:04:12,610
ุงู„ุขู† ุจุชุญุฏุฏูˆุง ุงู„ุญุทูŠู† ุงู„ุฒุฑู‚ ุทูˆู„ู‡ู…ู…ู† ุงู„ุนู„ุงู‚ุฉ ุชู†ูŠู† ุนู„ู‰
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ุฌุฒุฑ ุงู„ุงู† ุจุงู„ู…ูˆุฌุจ ุงูˆ ุจุงู„ุณุงู„ุจ ููŠ ุจุฑุงุชู‡ู… ู…ุนู†ุงุชู‡ ุงู† ู„ุง
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ู†ุณุชุทูŠุน ุงู‡ู…ุงู„ู‡ ูˆ ู„ุง ู†ุณุชุทูŠุน ู†ู‚ูˆู„ู‡ ู„ุฃู† ู‡ู†ุงูƒ ููŠ ุนุฏู…
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ุนุดูˆุงุฆูŠ ููŠ ุนุฏู… ุนุดูˆุงุฆูŠ ุจูŠู†ู…ุง ุงู„ู„ูŠ ุฌูˆุงู‡ุง ุจู†ู‚ูˆู„ู‡ ุงู† ููŠ
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ุนุดูˆุงุฆูŠ ููŠ white noise ุฎู„ูŠู†ุง ู†ู‚ูˆู„ ูƒุฏู‡ ุงูˆ ุจู†ู‡ู…ู„ู‡ู…
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ุทูŠุจ ููŠ ุงู„ R ููŠ ุนู†ุฏ ุงู„ function ุงู„ู„ูŠ ุฒู…ุงู† ุดุฑุญุชูƒูˆุง
60
00:04:35,330 --> 00:04:40,490
ุฅูŠุงู‡ุง ูƒุชูŠุฑ ุนู„ู‰ ูˆู‡ูŠ ุงู„ function ุดูˆุฉACF ูˆ ุฌูˆุงู‡ุง ุทุจุนุง
61
00:04:40,490 --> 00:04:44,830
ุงุฐุง ุฐุงูƒุฑูŠู† ูƒู„ู…ุฉ type ูŠุณุชูˆู‰ ุงูŠุดุŸ ููŠ ุนู†ุฏูŠ ุชู„ุงุช ุฃู†ูˆุงุน
62
00:04:44,830 --> 00:04:49,010
ููŠ correlation ููŠ covariance ูˆ ููŠ partial
63
00:04:49,010 --> 00:04:52,850
covariance, correlation, partial ููƒู„ู…ุฉ partial
64
00:04:52,850 --> 00:05:00,250
ูŠุนู†ูŠ ุงูŠุดุŸ ู„ู„ ุจูŠ ACF ูˆ ูƒู„ู…ุฉ correlation ู„ู…ูŠู†ุŸ ACF ูˆ
65
00:05:00,250 --> 00:05:05,150
ูƒู„ู…ุฉ covariance ู„ู…ูŠู†ุŸ ู„ู„ CF ู„ุญุงู„ุฉ covariance ูŠุนู†ูŠูˆ
66
00:05:05,150 --> 00:05:08,830
ููŠ ุทุจุนุง function ุฃุฎุฑู‰ ูƒุญุงู„ุฉ ุฎุงุตุฉ ุฅุฐุง ุจุชุญุจูˆุด ุงู„ ACF
67
00:05:08,830 --> 00:05:14,730
ุงู„ ACF ุจุชุตุฏุฑ ุงู„ู„ูŠ ู‡ูŠ ุงุณู…ู‡ุง PACF ููƒุฑูƒู… ุงุณู…ู‡ุง ู„ู…ูŠู†
68
00:05:14,730 --> 00:05:19,230
ู‡ูŠ ุจูŠุฌูŠู†ู‡ุง ู„ู„ ุจุงุฑุดู† ุชู…ุงู… ู‡ู‰ุŸ ูˆ ุทุจุนุง ุฑุณู…ุงุช ู‡ุฏูˆู„
69
00:05:19,230 --> 00:05:22,070
ุงู„ุชู†ุชูŠู† ุฒู‰ ู…ุง ุฃู†ุชูˆุง ุดุงูŠููŠู† ููŠ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุฃู…ุงู…ูŠ ููŠ
70
00:05:22,070 --> 00:05:26,830
ุงู„ู…ุฑุงุญุฒุฉ ุฃู†ู‡ู… ุจูŠุญุฏุฏูˆุง ุนู„ู‰ ุฅูŠุด confidence bounds ูˆ
71
00:05:26,830 --> 00:05:31,370
ู‡ุฏูˆู„ confidence bounds shown as ุดูˆุฉ plus dotted
72
00:05:31,370 --> 00:05:37,020
lines ู…ุตุจูˆุญุŸ ุงู„ู„ูŠ ุงุญู†ุง ุฃุญูƒูŠู†ุงู‡ู…ุทูŠุจ ูˆ ู‡ุฐุง ุงู„ู„ูŠ ุฃู†ุง
73
00:05:37,020 --> 00:05:39,640
ู‚ุจู„ ุดูˆูŠุฉ ุญูƒูŠุชู‡ ุงู„ุนุจุงุฑุฉ ุงู„ุฃุฎุฑุงู†ูŠุฉ ุฃูˆ ุงู„ู…ุฑุงุญุฒ
74
00:05:39,640 --> 00:05:44,020
ุงู„ุฃุฎุฑุงู†ูŠุฉ ุฃู†ู‡ ูŠุง ุจู†ุงุช ุงุญู†ุง ู„ู…ุง ู†ูŠุฌูŠ ู†ู†ุตู‡ู… ูุจู†ู„ุงู‚ูŠ
75
00:05:44,020 --> 00:05:47,500
ุงู„ุฎุทูˆุท ุงู„ุฒุฑู‚ ูŠุฌุจ ุฃู†ู‡ ูƒู„ ุงู„ู„ูŠ ุฌูˆุงู‡ุง ู…ุงู„ู‡ ู…ู‡ู…ู„ ุจูŠู†ู…ุง
76
00:05:47,500 --> 00:05:51,340
ุงู„ู„ูŠ ุจุฑุงู‡ุง ู„ุงุฒู… ูŠูƒูˆู† ู…ุงู„ู‡ ุบูŠุฑ ู…ู‡ู…ู„ ุนู„ู…ุง ุจุฃู†ู‡ ..
77
00:05:51,340 --> 00:05:57,180
ุนู„ู…ุง ุจุฃู†ู‡ ู‚ุฏ ูŠูƒูˆู† ููŠ ุจุนุถ ุงู„ุญุงู„ุงุชุงู„ู„ูŠ ุจูŠูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ
78
00:05:57,180 --> 00:06:01,540
ุฑุณู…ุฉ ุงู„ auto correlation ุจุชุฑุชูŠุฌุฉ ุจุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ูŠุนู†ูŠ
79
00:06:01,540 --> 00:06:06,080
ู‚ุฑูŠุจ ุฌุฏุง ู„ู„ุฎุท ุงู„ุฃุฒุฑู‚ ูˆูŠู…ูƒู† ุงุนุฏูŠู‡ุง ุญุชู‰ ุตุฑุงุญุฉ ูˆู„ุฐู„ูƒ
80
00:06:06,080 --> 00:06:10,440
ู‡ุฐุง ุจูŠูƒูˆู† ุฃุญูŠุงู†ุง misleading ูŠุนู†ูŠ ุจูŠูƒูˆู† ุนู†ุฏู‰ ุจูŠุงู†ุงุช
81
00:06:10,440 --> 00:06:14,600
ุฎู„ูŠู†ุง ู†ู‚ูˆู„ ุงู†ุง ุงู‚ุตุฏ ุจูŠุนุฏูŠู‡ุง ููŠ ุญุงู„ุฉ ุงู„ white noise
82
00:06:16,380 --> 00:06:19,240
ูุจูƒูˆู† ุนู†ุฏู‰ ุจูŠุงู†ุงุช white noise ุนุดูˆุงุฆูŠุฉ totally
83
00:06:19,240 --> 00:06:23,300
ุนุดูˆุงุฆูŠุฉ ูˆู…ุน ุฐู„ูƒ ุงู„ุฑุณู…ุฉ ุจุชู‚ูˆู„ ุงู†ู‡ ู„ุฃ ูŠุง ุนู… ู…ุด
84
00:06:23,300 --> 00:06:26,980
ุนุดูˆุงุฆูŠ ุงู†ุง ุญูŠู† ุงู†ุง ุชู‚ุฑูŠุจุง ุฌุฑุจุช ุนู„ู‰ ุงู„ุฎุท ุงู„ุฃุฒุฑู‚
85
00:06:26,980 --> 00:06:31,440
ุชู…ุงู…ุŸ ูŠุนู†ูŠ ุงู†ุง ููŠู‡ ุดุฑุท ุจุทุงุทูŠ ูุจู‚ูˆู„ู‡ ู‡ุฐุง misleading
86
00:06:31,440 --> 00:06:34,700
ุงู„ุงุฎุชุจุงุฑ ุงู„ู„ู‰ ู…ุนุชู…ุฏ ุนู„ู‰ ุงู„ individual auto
87
00:06:34,700 --> 00:06:39,740
correlation ูƒู„ ูˆุงุญุฏุฉ ู„ุญุงู„ู‡ุง ู…ู…ูƒู† ูŠุนุทูŠู†ูŠ ุงู†ุทุจุงุน
88
00:06:39,740 --> 00:06:45,830
ุฎุงุทุฆ ู„ูŠุดุŸู„ุฃู† ุญู‚ูŠู‚ุฉ ูŠุง ุจู†ุงุช ุงู„ rows ุฐุงุช ู†ูุณู‡ู… ุจูŠู†ู‡ู…
89
00:06:45,830 --> 00:06:50,490
ุจูŠู† ู†ูุณู‡ู… ููŠู‡ ุงุฑุชุจุงุทุงุช ุงูู‡ู…ูˆู†ูŠ ููŠ population ูˆ ููŠ
90
00:06:50,490 --> 00:06:54,510
ุนุงู… ุนูŠู†ุฉ sample ุจุงู„ู†ุณุจุฉ ู„ู„ population ุงู„ rows ูŠุง
91
00:06:54,510 --> 00:06:58,690
ุจู†ุงุช ู…ุงููŠู‡ ุงุฑุชุจุงุทุงุช ูŠุนู†ูŠ ู†ูุชุฑุถ ุงู† ุงู„ row ูˆุงุญุฏ ู…ุน
92
00:06:58,690 --> 00:07:02,030
ุงู„ row ุชุงู†ูŠุฉ ุงูˆ ุงู„ row ูˆุงุญุฏ ู…ุน ุงู„ row ุนุดุฑุฉ ุงูˆ ุงู„
93
00:07:02,030 --> 00:07:06,450
row ุนุดุฑุฉ ู…ุน ุงู„ row ุณุจุนุฉ ูˆ ู‡ูƒุฐุง ู…ุงููŠู‡ ุงุฑุชุจุงุทุงุช
94
00:07:06,450 --> 00:07:09,970
ุจูŠู†ู‡ู… ู‡ุฐุง ููŠ ุนุงู„ู… ุงู„ population ููŠ ุงู„ุนุงู„ู… ุงู„ุซูŠูˆุฑูŠ
95
00:07:11,000 --> 00:07:15,560
ููŠ ุงู„ุนุงู„ู… ุงู„ู†ุธุฑูŠ ูˆู„ูƒู† ุนู†ุฏ ุงู„ูˆุงู‚ุน ุนู†ุฏู…ุง ู†ุฃุฎุฐ ุนูŠู†ุฉ
96
00:07:15,560 --> 00:07:21,040
sample ูุญู‚ูŠู‚ุฉ ุณู†ุฌุฏ ุงู† ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ุงู„ู‡ ุจุฎุชู„ู ุดูˆูŠู‡
97
00:07:21,040 --> 00:07:25,100
ุนู† ุงู„ population ูุณู†ุฌุฏ ุงู† ููŠู‡ ุงุฑุชุจุงุทุงุช ู‡ุฐู‡
98
00:07:25,100 --> 00:07:28,940
ุงู„ุงุฑุชุจุงุทุงุช ุฎููŠูุฉ ู‡ุฐู‡ ุงู„ุงุฑุชุจุงุทุงุช ู‡ูŠ ุงู„ู„ูŠ ุจุชุฎู„ูŠ ุงู„ุฎุท
99
00:07:28,940 --> 00:07:32,960
ู…ุงู„ู‡ ุงู„ุฃุฒุฑู‚ ุชู‚ุฑูŠุจุง ููŠ ุนู†ุฏ ุงู„ raw ุชุจุนุชู‡ ุฌุงูŠุฉ ุนู†ุฏ
100
00:07:32,960 --> 00:07:36,730
ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ุนู„ู…ุŸุญุชู‰ ููŠ ุงู„ white noise ุจุชู„ุงู‚ูŠูˆุง ู‡ุฐู‡
101
00:07:36,730 --> 00:07:40,990
ุงู„ุฃู…ูˆุฑ ุนุดุงู† ู‡ูŠูƒ ุนู†ุฏ ุงู„ุฑุณูˆู…ุงุช ู…ุงูƒุงู†ุชุด exactly ุตูุฑ ูˆ
102
00:07:40,990 --> 00:07:43,510
ู„ุฅู† ูˆ ู„ุฐู„ูƒ ุงูŠุด ุงู„ุจุฏูŠู„ ุนู† ุงู„ individual
103
00:07:43,510 --> 00:07:45,810
autocorrelation ุงู„ุจุฏูŠู„ ุนู† ุงู„ individual
104
00:07:45,810 --> 00:07:49,390
autocorrelation ู‡ูˆ ุงุฎุชุจุงุฑุงุช ุงู„ู„ูŠ ุจูŠุณู…ูˆู‡ุง ููŠู…ุง ุจุนุฏ
105
00:07:49,390 --> 00:07:55,310
ุงู„ board math test statistic ู‡ูŠ ุฃูุถู„ ู…ู† ู…ูŠู† ู…ู† ุงู„
106
00:07:55,310 --> 00:07:58,710
individual autocorrelation ูˆ ู„ุฐู„ูƒ ู…ุณุชู‚ุจู„ ุงู† ุดุงุก
107
00:07:58,710 --> 00:08:02,490
ุงู„ู„ู‡ ูˆ ุงู„ุดุงุฆุน ูŠุง ุจู†ุงู…ูŠ ุงู†ู‡ ุนุดุงู† ู†ุฎุชุจุฑ ููŠู‡ ุนุดูˆุงุฆูŠุฉ
108
00:08:02,490 --> 00:08:06,170
ูˆู„ุง ู…ุงููŠู‡ุงุดุงู„ุจูŠุงู†ุงุช ูŠุชุฑู‰ ู‡ู„ ู‡ูŠ white noise ูˆู„ุง ู…ุด
109
00:08:06,170 --> 00:08:10,670
white noise ูุงู„ุฃุตุญ ู†ุณุชุฎุฏู… ููŠู…ุง ุจุนุฏ ุงุฎุชุจุงุฑ ุงุณู…ู‡ ู…ูŠู†
110
00:08:10,670 --> 00:08:14,930
ุงูˆ ุงุฎุชุจุงุฑุงุช ุงู„ู„ูŠ ู‡ูŠ ุงุณู…ู‡ุง ู…ูŠู† ุงู„ portmanteau test
111
00:08:14,930 --> 00:08:20,910
statistic ูˆู„ุง ูŠูƒููŠ ุงู„ู†ุธุฑ ูู‚ุท ุนู„ู‰ ู…ูŠู† ุนู„ู‰ ุฑุณู…ุฉ ุงู„ู„ูŠ
112
00:08:20,910 --> 00:08:25,130
ู‡ูŠ ุงู„ ACF ูˆ ุงู„ BCF ุงู„ู„ูŠ ู‡ู… ุชุจุนูˆู† ุงู„ุฑุคูŠุฉ ู‡ู„ ู‡ู…
113
00:08:25,130 --> 00:08:32,140
ู…ุงุดูŠุŸ ู…ุงุดูŠ ูˆู„ุง ู…ุด ู…ุงุดูŠุŸุงู„ุงู† ุงุฎุฑ ุตูุญุฉ ุงูˆ ุงุฎุฑ ู…ู„ุงุญุธุฉ
114
00:08:32,140 --> 00:08:35,560
ููŠ ุงู„ุตูุญุงุช ูŠุนู†ูŠ ุงู„ู„ูŠ ู‚ู„ุชู„ูƒูˆุง ูˆุงู†ุง ู†ุณูŠุช ุงุญูƒูŠู‡ู… ู‡ุฐุง
115
00:08:35,560 --> 00:08:44,260
ู…ุซุงู„ ูˆุงู‚ุน ู…ู† ุงู„ุงุฑ ู…ู† ุงู„ุงุฑ ุจูŠุงู†ุงุช ููŠู‡ุง 48 ู‚ูŠู…ุฉ
116
00:08:44,260 --> 00:08:50,140
ุณู„ุณู„ุฉ ุฒู…ุงู†ูŠุฉ hormone ุงุณู…ู‡ ู„ูˆุชูŠู†ุงูŠุฒูŠู†ุฌ ู‡ุงุฑู…ูˆู† ู‡ุฐุง
117
00:08:50,140 --> 00:08:55,570
ู„ู‡ ุนู„ุงู‚ุฉ ุจุงู„ู„ูŠ ู‡ูŠ human, female, ุงู†ุณุง ูˆุบูŠุฑู‡ููŠ ุงู„
118
00:08:55,570 --> 00:08:59,730
.. ููŠ ุงู„ุถุบุท .. ููŠ ุงู„ุฏู… ู†ุนู…ุŸ ุฃุฎุฏูˆู‡ ุนุจุงุฑุฉ ุนู† ูƒู„ ุนุดุฑ
119
00:08:59,730 --> 00:09:03,890
ุฏู‚ุงุฆู‚ ุฃุฎุฏูˆุง ุนูŠู†ุฉ ูˆ ุณุฌู„ูˆุง ุงู„ุนูŠู†ุฉ ู‡ุฐู‡ ุงู„ุงู† .. ุงู„ุงู†
120
00:09:03,890 --> 00:09:09,350
ู„ู…ุง ุงุญู†ุง ุฑุณู…ู†ุง ุงู„ ACF ู„ู„ุนูŠู†ุฉ ู‡ุฐู‡ ู„ู„ู‡ุฑู…ูˆู† ู‡ุฐู‡
121
00:09:09,350 --> 00:09:13,450
ู„ู„ุจูŠุงู†ุงุช ุทู„ุนุช ุงู„ู‚ูŠู… ู‡ูŠูƒ ุงู„ู„ูŠ ู‡ูŠ ุฃู…ุงู…ูƒ ูˆ ุนู„ู‰ ุงู„ุดู…ุงู„
122
00:09:13,450 --> 00:09:17,210
ู‡ุฐุง ุงู„ ACF ุจูŠู†ู…ุง ุงู„ partial ACF ุทู„ุนุช ุงู„ู„ูŠ ู‡ูŠ
123
00:09:17,210 --> 00:09:21,050
ุงู„ู‚ูŠู…ุฉ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุฃูƒูŠุฏ ุฃู†ุง ุจุฑุตุงุฏ .. ุจุฑุตุงุฏ ุดูˆูŠุฉ ู„ูˆ
124
00:09:21,050 --> 00:09:24,270
ุชุฐูƒุฑู†ุง ุงู„ู„ูŠ ุตุฑุญู†ุงู‡ุง ุณุงุจู‚ุง ููŠ ุงู„ู…ุญุงุถุฑุงุช ุงู„ุณุงุจู‚ุฉ
125
00:09:25,190 --> 00:09:29,650
ูˆู‚ู„ู†ุง ุฑุณู…ุฉ ุงู„ partial ocf ุจุชุญุฏุฏ ู„ูŠ ูŠุง ุจู†ุงุช ู…ูŠู† ุงู„
126
00:09:29,650 --> 00:09:34,530
partial ุงู„ู„ูŠ ู‡ูˆ ุงู„ auto-regressive ุงู„ AR ู…ุตุจูˆุญ
127
00:09:34,530 --> 00:09:39,070
ูุจูŠูƒูˆู† ููŠ ุนู†ุฏู‰ ุจุนุฏูŠ ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ุนู†ุฏ ุญุฏ ู…ุนูŠู† ูˆู…ู†
128
00:09:39,070 --> 00:09:44,150
ุซู… ุงู„ุจุฌูŠุงุช ุจูŠุณู…ูŠู‡ู… ุงุญู†ุงุงุด cut off ู‚ุทุน ุตูุงุฑ ุทุจุนุง ุฒู‰
129
00:09:44,150 --> 00:09:47,870
ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุนู†ุฏู‰ ุงู„ lag ูˆุงุญุฏ ู‡ุงู†ุง ู…ุนุฏูŠู„ู„
130
00:09:47,870 --> 00:09:52,450
partial ูˆ ุจุงู‚ูŠ ุงู„ labs ู…ุงู„ู‡ู… ุฃุณูุงุฑ ู‡ุฏูˆู„ ุชู‚ุฑูŠุจุง
131
00:09:52,450 --> 00:09:55,490
ุฃุณูุงุฑ negligible ุนู„ู‰ ุงุณู… ุงู„ู„ูŠ ููŠ ุงู„ slide ุงู„ุณุงุจู‚
132
00:09:55,490 --> 00:09:58,190
ุงู„ู„ูŠ ู‚ุจู„ ุดูˆุงุดู‡ ุฑุงุญ ุชู„ูƒูˆุง ุฅูŠุงู‡ุง ุงู„ุฃุตู„ ู‡ุฏูˆู„ ุฃุณูุงุฑ
133
00:09:58,190 --> 00:10:01,410
ุฃุณูุงุฑ ูˆู„ูƒู† ู‡ู… ู…ุด ุฃุณูุงุฑ ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุงู„ุณุจุจ
134
00:10:01,410 --> 00:10:05,330
ุฅูŠุด ู‚ู„ู†ุง ุงุญู†ุง ุงู†ู‡ ููŠู‡ ุงุฑุชุจุงุทุงุช ููŠ ุงู„ุนูŠู†ุฉ ู…ุธุจูˆุท
135
00:10:05,330 --> 00:10:10,050
ุงู„ุฃุตู„ ุฃุณูุงุฑ ูˆุฅุฐุง ุฑุณู… ุฒูŠ ู‡ุฐู‡ ูู‡ุฐู‡ ุจุชู‚ุชุฑุญ ุนู„ูŠูƒูˆุง ุงู„
136
00:10:10,050 --> 00:10:13,450
partial ุจู‚ุชุฑุญ ุนู„ูŠูƒูˆุง ุดูˆ ูŠุง ุจู†ุงุชุงู„ูˆุงุชุฑ aggressive
137
00:10:13,450 --> 00:10:17,710
of order ูˆุงุญุฏ ุงู„ุจุงุดุฑ ู„ุญุงู„ู‡ ู…ุด ูƒูุงูŠุฉ ุจุตุฑุงุญุฉ ุจู†ุทู„ุน
138
00:10:17,710 --> 00:10:23,870
ุนู„ู‰ ู…ูŠู† ุฃูŠุถุงุŸ ุนู„ู‰ ุงู„ ACF ูุฅุฐุง ุงู„ ACF ุชุจุนุช ุงู„ุฑุณู…ุฉ
139
00:10:23,870 --> 00:10:27,670
ูƒุงู†ุช ุดูƒู„ู‡ุง ุฒูŠ exponential decay ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู†
140
00:10:27,670 --> 00:10:30,990
ู‡ูŠ ุงูŠุด ุฑุณู…ุฉ ุงู„ exponential ุนุงุฑููŠู†ู‡ุŸ ุงู„ decay
141
00:10:30,990 --> 00:10:38,320
ุงู†ุญุถุงุฑ ูŠุนู†ูŠ ุงู‡ ูŠุนู†ูŠ ุงู†ุฎูุงุถุฉ ูŠุนู†ูŠ ุชู†ุงู‚ุตูุฅุฐุง ุฒูŠ ู…ุง
142
00:10:38,320 --> 00:10:43,160
ุชุดุงูŠููŠู† ุจุชู†ู‚ุต ุจุชู†ู‚ุต ุฒูŠู‡ curve ุฒูŠ ุฌุซุฉ ุฑุณู…ุฉ 1 ุนู„ู‰ X
143
00:10:43,160 --> 00:10:46,960
ุฅุฐุง ูƒุฑูŠู† 1 ุนู„ู‰ X ููŠ ุงู„ calculus Y ุชุณูˆู‰ 1 ุนู„ู‰ X
144
00:10:46,960 --> 00:10:52,320
ุงู„ุฌุฒุก ุงู„ูŠู…ูŠู† ู…ู†ู‡ุง ุดูƒู„ู‡ุง ุฒูŠู‡ุง ุตุญุŸ ุฑุณู…ุฉ ุฒูŠู‡ุง ุฏูŠ
145
00:10:52,320 --> 00:10:56,100
perfect ุจุชู‚ูˆู„ูŠ ุงู†ุง ุฅุฐุง ACF ู‡ูŠูƒ ุฃู†ุง ุดูƒู„ูŠ
146
00:10:56,100 --> 00:11:02,740
exponential decay ุฃูˆ sign ุทู„ุนูˆุง sign damp ู‡ุฐูŠ sign
147
00:11:02,740 --> 00:11:08,990
ุชู‚ุฑูŠุจุง sign ุงู‡ุชู†ุชูŠู†ุŒ ูŠุง ุงู„ decay ุจูŠูƒูˆู† ู‡ูŠูƒ ุฃูˆ ุฒูŠ
148
00:11:08,990 --> 00:11:12,970
ุฏูˆุฑุฉ ุงู„ sign ู„ูˆ ูƒุจุฑุชูŠ ุงู„ legs ู‡ุชุจูŠู† ุฃูƒุชุฑ ูŠู…ูƒู† ู…ุน
149
00:11:12,970 --> 00:11:16,170
ุงู„ partial ูุงู†ุง ุจุชู‚ุชุฑุญ ุนู„ู‰ ุฃูŠ ุฑุณู…ุฉ ุฒูŠ ู‡ุฐู‡ ุฃู†ู‡ ุงู†ุง
150
00:11:16,170 --> 00:11:19,850
ุงูŠ ุดุฎุต ุฃุฑูˆุญ ู„ุฃูŠ ู…ูˆุฏูŠู„ุŒ ู„ู„ู…ูˆุฏูŠู„ ุงู„ autoุŒ
151
00:11:19,850 --> 00:11:23,610
regressiveุŒ of order ู…ูŠู† ูŠุง ุจู†ุงุชุŸ of order ูˆุงุญุฏ
152
00:11:23,610 --> 00:11:30,360
ุงู„ุณุจุจุŸ ูˆูŠู† ู‡ุฐุง ุงู„ orderุŸ ูˆุงุญุฏุŒ ู…ุตุจูˆุนุŸูŠุจุฌู‰ ุงู†ุง ุจุนุฏ
153
00:11:30,360 --> 00:11:33,980
ู…ุง ุฑุณู…ุช ูƒุฎุทูˆุฉ ุงูˆู„ู‰ ููŠ ู…ุซุงู„ ุฒู‰ ู‡ุฐุง ุงูŠู‡ ุนู„ุงู‚ุฉ
154
00:11:33,980 --> 00:11:38,280
ุจู‡ุงุฑู…ูˆู†ุงุช ุงู„ุฏู… ุนูŠู†ู‰ ุงู†ู‡ุง ู‡ุงุฑู…ูˆู† ูู‰ ุงู„ุฏู… ุงู„ู‡ุงุฑู…ูˆู†
155
00:11:38,280 --> 00:11:41,880
ุงู„ู„ู‰ ูู‰ ุงู„ุฏู… ู„ุงู† ุงุตู„ุง ู‡ุฏูˆู„ู‡ ุงู‡ ุจุฏู‰ ุงุนู…ู„ู‡ ูุชู„ุฉ
156
00:11:41,880 --> 00:11:46,060
ู„model ูุจุตุฑุงุญุฉ ุงู„ุฑุณู…ุชูŠู† ู‡ุฏูˆู„ ู…ุน ุจุนุถ ุจู‚ุชุฑุญูˆู„ู‰ ุงู†
157
00:11:46,060 --> 00:11:50,360
ุงู†ุง ุงุนู…ู„ ู…ูŠู† ุงู„ model autoregressive ููŠ order ูˆุงุญุฏ
158
00:11:50,360 --> 00:11:52,980
ุทุจุนุง ุงู†ุง ู…ุด ู‡ุนู…ู„ู‡ ู„ุงู† ู„ุฅู† ุงุญู†ุง ู„ุญุฏ ุฏู„ุงู† ู†ุนูŠุด
159
00:11:52,980 --> 00:11:57,180
ุจุงู„ู…ุงู‡ุฑ ู‚ุฑุฑู†ุง ุฌุฏุง ู†ุจู„ุด ู†ุนู…ู„ ุฃู…ุซู„ุฉ ุชุทุจูŠู‚ูŠุฉ ูˆุงุถุญ
160
00:11:57,180 --> 00:12:00,740
ู‡ุฏูˆู„ ุงู„ slidesู…ุงู„ู‡ู… ุนู„ุงู‚ุฉ ููŠ ู…ุญุงุถุฑุฉ ุงู„ูŠูˆู…
161
00:12:00,740 --> 00:12:04,560
ู‡ูŠู†ุดุฑุญุชู‡ู… ูˆ ุฎู„ุตุช ู…ู†ู‡ู… ุงู†ุณูŠู†ุงู‡ู… ู†ุญูƒูŠู‡ู… ู…ู† ู…ุญุงุถุฑุฉ
162
00:12:04,560 --> 00:12:09,800
ุงู„ุณุงุจู‚ุฉ ูู‡ูŠู†ู„ุญู‚ุชู‡ู… ู„ุงู† ุจู†ุจู„ุด ููŠ ู…ุญุงุถุฑุฉ ุงู„ูŠูˆู… ุงู„ู„ูŠ
163
00:12:09,800 --> 00:12:15,440
ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู†ุฌูŠุจ ุงู„ auto correlation function
164
00:12:15,440 --> 00:12:21,340
ู„ู„ุงุฑู…ุฉ ู…ุด ุงุฑู…ุฉ ูˆุงุญุฏ ูˆุงุญุฏ ุงุฑู…ุฉ in general P ูˆ Q P ูˆ
165
00:12:21,340 --> 00:12:25,620
Q ูˆู„ูƒู† ูƒุญุงู„ุฉ ุฎุงุตุฉ ุจุชุจุฏุฃ ููŠ ู…ูŠู†ุŸูˆุงุญุฏ ูˆุงุญุฏุŒ ุนู„ู‰ ุจู†ุงุก
166
00:12:25,620 --> 00:12:29,160
ุชุฌุฒู…ุฉุŒ ุดูˆ ุณุงุจู‚ุง ุงุญู†ุง ุฏุฑุณู†ุง ุนุฌุจุง ุนุดุงู† ู†ุญุท ุงู„ุญุฑูˆู
167
00:12:29,160 --> 00:12:33,380
ุนู„ู‰ ุงู„ู†ู‚ุงุท ุฃูˆ ุงู„ู†ู‚ุงุท ุนููˆุง ุนู„ู‰ ุงู„ุญุฑูˆูุŒ ุฏุฑุณู†ุง ุฒู…ุงู†
168
00:12:33,380 --> 00:12:37,530
ุงู„ auto-regressive ู„ูˆุญุฏู‡ู…ูˆุดูˆูู†ุง ุฃู†ู‡ ููŠู†ุง ู†ูƒุชุจู‡ ุนู„ู‰
169
00:12:37,530 --> 00:12:40,670
moving average ุจุฑูˆุญ infinity ููŠ ุญุงู„ุฉ ุงู„ casualty
170
00:12:40,670 --> 00:12:44,990
ู†ุณู…ูŠู†ุงู‡ุง casual ูˆ stationary ุงู‡ ู‡ูŠ stationary ูˆ ููŠ
171
00:12:44,990 --> 00:12:48,910
ู†ุงุณ ุจูŠุณู…ูˆู‡ุง casual ูƒู„ู…ุฉ ูŠุนู†ูŠ ุงู„ุฃูุถู„ ุงู„ู„ูŠ ุฃู†ุง ุจุญุจู‡ุง
172
00:12:48,910 --> 00:12:52,510
ุงูƒุชุฑ ูŠู…ูƒู† casual ูˆ stationary ู…ุน ุจุนุถ ุงู„ุชู†ุชูŠู† ุงู‡
173
00:12:52,510 --> 00:12:56,290
casual ูˆ stationary ู casual ุจูŠุฌูŠ ุจูŠุณุชุฎุฏู…ูˆู‡ุง ุนุดุงู†
174
00:12:56,290 --> 00:13:00,090
ุงู„ invertibility ูˆ ุงู„ stationary ุนุดุงู† ุงู„ู„ูŠ ู‡ูˆ ุงู„
175
00:13:00,090 --> 00:13:05,460
finite summation ูˆ ุงู„ุฃู…ูˆุฑ ู‡ุฐู‡ ุชู…ุงู…ุŸ ุงู„ู…ู‡ู…ูˆุฑุญู†ุง ู„ู„
176
00:13:05,460 --> 00:13:08,400
author aggressive ูŠูˆู…ู‡ุงุŒ ุฅุฐุง ุจุชุฐูƒุฑูˆุงุŒ ุฌูŠุจู†ุง ูู‚ุท ู„ู„
177
00:13:08,400 --> 00:13:11,440
author aggressive order ูˆุงุญุฏ ูŠูˆู…ู‡ุงุŒ ุจุณ ู„ู„ order
178
00:13:11,440 --> 00:13:17,410
ูˆุงุญุฏุŒ ุฌูŠุจู†ุง ู„ู‡ ุงู„ ACFุŒ ูˆู„ูƒู† ุฌูŠุจู†ุง ุงู„ partialุงู„ู€
179
00:13:17,410 --> 00:13:20,810
Partial ACF ู„ูƒู„ ุงู„ู€ Autoregressive ุตุญูŠุญ ู…ู† ู‡ุฐุงุŸ ู„ู…
180
00:13:20,810 --> 00:13:24,750
ุฃุชุญุฏุซ ุนู† ุงู„ู€ Partial Autoregressive of Order B
181
00:13:24,750 --> 00:13:28,330
ูŠุชุฑู‰ ุฃูŠุด ุงู„ู€ ACF ู„ูŠู„ุฉ ู„ู… ุฃุชุญุฏุซ ุนู†ู‡ุง ููŠ ุฐุงูƒ ุงู„ูˆู‚ุช
182
00:13:28,330 --> 00:13:30,330
ุญุฏุซุช ุนู†ู‡ุง ููŠ ุตูุญุฉ ูˆ ู‚ู„ุช ู„ูƒู… ููŠู…ุง ุจุนุฏ ุณุฃู‚ูˆู…
183
00:13:30,330 --> 00:13:34,210
ุจู…ุฑุงุฌุนุชู‡ุง ูˆ ุงู„ุงุฎุฑ ุตุญุŸ ุจุณุฑุนุฉ ูˆ ููŠ ุงู„ู…ู‚ุงุจู„ ู„ู…ุง ุญูƒูŠุช
184
00:13:34,210 --> 00:13:37,190
ุนู† ุงู„ moving average ุงู†ุง ู‚ู„ู†ุง ุงู„ moving average
185
00:13:37,190 --> 00:13:40,030
ููŠู†ุง ู†ูƒุชุจู‡ ุนู„ู‰ ุตูŠุบุฉ ู…ู† Autoregressive Order
186
00:13:40,030 --> 00:13:45,590
Infinity ู„ู…ุง ู†ุญู‚ู‚ ุดุฑุท ุงู„ invertibility ุฐุงูƒุฑูŠู†ู‡ูˆ
187
00:13:45,590 --> 00:13:48,770
ูŠูˆู…ู‡ุง ุฅุฐุง ุชุฐูƒุฑูˆุง ูŠูˆู…ู‡ุง ุญูƒูŠุช ูˆุงุดุชู‚ูŠุช ู„ู„ moving
188
00:13:48,770 --> 00:13:51,570
average ููŠ order ูˆุงุญุฏ ูˆ ู„ู„ moving average ููŠ order
189
00:13:51,570 --> 00:13:57,150
cube ุงุดุชู‚ูŠุช ู„ู‡ ุงู„ ACF ูˆุฒุง ุฐุงูƒุฑูŠู† ูŠูˆู…ู‡ุง ุงู„ ACF
190
00:13:57,150 --> 00:14:01,550
ุจูŠุนู…ู„ ุนู…ู„ ู…ูŠุงู† ุงู„ partial ACF ุชู…ุงู…ูŠุง ุงู„ auto
191
00:14:01,550 --> 00:14:07,030
-regressive ูู…ุซู„ุง ู„ูˆ ุฑุณู…ุชูˆุง ุงู„ ACF ูˆ ุงู„ ACF ุนู†ุฏ ุงู„
192
00:14:07,030 --> 00:14:09,650
lag ูˆุงุญุฏ ูˆ ุงู„ lag ุงุชู†ูŠู† ู…ูˆุฌูˆุฏูŠู† ุจูŠู†ู…ุง ุงู„ุจุงู‚ูŠ ููŠ
193
00:14:09,650 --> 00:14:15,030
cut ู‡ุฐุง ุงู‚ุชุฑุญ moving averageุงุณุชูˆุนุจู†ุงุŸ ูุงู„ ACF
194
00:14:15,030 --> 00:14:17,810
ุจูŠุฏู„ู‘ูŠ ุงู„ู„ูŠ ูŠู…ูŠู† ูŠูˆู…ู‡ุงุŒ ู‚ูˆู„ู†ุง ุงุญู†ุง ุงู„ moving
195
00:14:17,810 --> 00:14:22,650
averageุŒ ุจุณ ู†ุณูŠุงู† ุงู†ุชูˆุงุŒ ุตุญุŸ moving average ูˆูŠู†
196
00:14:22,650 --> 00:14:25,790
ููŠู‡ cutุŒ ุจูŠุนุทูŠูŠู† ุงู„ order ุชุจุน ุงู„ moving averageุŒ
197
00:14:25,790 --> 00:14:31,190
ู…ุงุดูŠุŸ ููŠ ุงู„ู…ู‚ุงุจู„ ุงู„ partial ACF ุจู‚ุชุฑุญ ู„ู…ูŠู†ุŸ ู„ู„
198
00:14:31,190 --> 00:14:35,970
auto-regressive of order ุงู„ู„ูŠ ู‡ูˆ P ู…ุซู„ุงุŒ ู†ุญู†ุŸุทุจุนุง
199
00:14:35,970 --> 00:14:39,530
ุงู„ moving average ุฃุนุชู‚ุฏ ุฎู„ุตุช ุงู„ุญุฏูŠุซ ุนู†ู‡ ุฃู†ุง ู„ุฃู†ู‡
200
00:14:39,530 --> 00:14:42,910
ูƒุงู† ุงู„ุชุนุงู…ู„ ู…ุนุงู‡ ุดูˆูŠู‡ ุณู‡ู„ ูˆู„ูƒู† ุฃุฌู„ุช ุงู„ุญุฏูŠุซ ุนู†
201
00:14:42,910 --> 00:14:47,510
ู…ูŠู†ุนุงุฏ ุงู„ auto-regressive ุตุญุŸ ุงู„ูŠูˆู… ูŠุง ุจู†ุงุช ุจุฏูŠ
202
00:14:47,510 --> 00:14:49,890
ุฃุญูƒูŠ ู…ุด auto-regressive ูˆู„ุง moving average ุจุฏูŠ
203
00:14:49,890 --> 00:14:54,470
ุฃุญูƒูŠ ู…ูŠู†ุนุงุฏ ุฃุฑู…ู‰ in general ูุฅุฐู† ุงู„ุญุงู„ุฉ ุงู„ุนุงู…ุฉ ู‡ูŠ
204
00:14:54,470 --> 00:14:59,010
ุงู„ุฃุฑู…ู‰ ุงู„ู„ูŠ ู‡ูŠ P ูˆ Q ุจุชุจุฏุฃ ููŠ ู…ูŠู†ุŸ ูˆุงุญุฏ ูˆุงุญุฏ ุทุจุนุง
205
00:14:59,010 --> 00:15:02,890
ุจุงู„ู…ู†ุงุณุจุฉ ู„ู…ุง ุฃู†ุง ุฃุตู„ ู„ู„ุฃุฑู…ู‰ P ูˆ Q ุจุฑูˆุญ ุจุญุท ุงู„ P ุจ
206
00:15:02,890 --> 00:15:07,540
0 ุดูˆ ุงู„ุฃุฑู…ู‰ 0ุŸู„ู…ุง ู†ู„ุจูŠู‡ ุงู„ุณูุฑ ู‚ุตุฏ ุงูŠู‡ุŸ ุจูŠุตูŠุฑ
207
00:15:07,540 --> 00:15:09,980
moving average ุงูŠูˆุฉ ุจุฑุงููˆ ุนู„ูŠูƒ ุจูŠุตูŠุฑ moving
208
00:15:09,980 --> 00:15:14,780
average ูˆ ุงุฐุง ุนู…ู„ูŠุง ุงู„ Q ุจูŠุณุงูˆูŠ ุงู„ุณูุฑ ุจูŠุตูŠุฑ auto
209
00:15:14,780 --> 00:15:17,780
-regressive ูˆ ู„ุฐู„ูƒ ุงู„ู„ูŠ ุจูŠุธุจุท ุงู„ูŠูˆู… ุนุดุงู† ุงู„ R ู…ุง
210
00:15:17,780 --> 00:15:21,220
ุจูŠุธุจุท ุนู„ู‰ ู…ูŠู† ุนู…ู„ูŠุง ุนู„ู‰ ุงู„ auto-regressive ูˆ ุนู„ู‰
211
00:15:21,220 --> 00:15:23,480
ุงู„ moving average ุงู„ู„ูŠ ุจูŠุฌูŠ ุงู„ุญุงู„ุฉ ุงู„ุนุงู…ุฉ ุงู„ูŠูˆู… ุงู†
212
00:15:23,480 --> 00:15:30,460
ุดุงุก ุงู„ู„ู‡ ู†ุจู„ุด ุฎุทูˆุฉ ุฎุทูˆุฉ ุทูŠุจ ู†ุจุฏุฃ ุจุงู„ู„ูŠ ู‡ูˆ ุงู„ auto
213
00:15:30,460 --> 00:15:34,240
correlation function ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุงู…ุงู…ูƒู… ุนู„ู‰
214
00:15:34,240 --> 00:15:38,050
ุงู„ูƒู…ุจูŠูˆุชุฑุงู„ู€ Auto-correlation function ู‡ุฐู‡ ููŠ
215
00:15:38,050 --> 00:15:43,370
order ูˆุงุญุฏ ูˆ ูˆุงุญุฏุŒ ุงู„ุงู† ุชุนุชุจุฑ ุงู„ู€ Casual Auto
216
00:15:43,370 --> 00:15:46,270
-regressive Moving Average ููŠ order ูˆุงุญุฏ ูˆ ูˆุงุญุฏ
217
00:15:46,270 --> 00:15:51,130
ุงู„ู…ูˆุฏูŠู„ ุงู„ู„ูŠ ุจู†ูƒุชุจู‡ ุนู„ู‰ ุงู„ุตูŠุบุฉ ู‡ุฐู‡ู…ุงุดูŠ ุงู„ุญุงู„ ู XT
218
00:15:51,130 --> 00:15:55,330
ุชุณูˆู‰ ูุงูŠ XT ู†ุงุฌุณ ูˆุงุญุฏ plus epsilon T plus ุซูŠุชุง
219
00:15:55,330 --> 00:15:59,670
epsilon T ู†ุงุฌุณ ูˆุงุญุฏ ุญูŠุซ ุฃู† ุงู„ูุงูŠ ุฃู‚ู„ ู…ู† ู…ูŠู†ุŸ ู…ู†
220
00:15:59,670 --> 00:16:03,070
ูˆุงุญุฏ ุงู„ู…ุญุธูˆู† ุฃู†ุง ู…ุนุชู…ุฏ ุนู„ู‰ ุงู„ casual ู…ุงุจุฏู‰ ุฅู„ุง ุงู„
221
00:16:03,070 --> 00:16:06,430
casual ู…ุด ู…ู‡ู… ูƒุชูŠุฑ ุนู†ุฏ ุงู„ N ู‡ูŠุด ุงู„ invertibility ูˆ
222
00:16:06,430 --> 00:16:10,890
ู‡ุชุดูˆู ู„ูŠุด ุงู„ casual ุจุถู…ู† ู„ู…ูŠู†ุŸ ู…ุน ุงู„ุดุฑุท ู‡ุฐุง ุทุจุนุง
223
00:16:10,890 --> 00:16:15,530
ู…ุน ุงู„ุดุฑุท ุฃู† ุงู„ูุงูŠ ุฃู‚ู„ ู…ู† ูˆุงุญุฏ ุจุถู…ู† ุงู„ stationary
224
00:16:15,530 --> 00:16:19,150
ุจุถู…ู† ุฃู† ุฃุฌูŠุจู‡ุง ุนู„ู‰ moving average infinity ุตุญุŸ
225
00:16:22,170 --> 00:16:26,230
ู…ู‡ู… ุดูˆููˆุง ุฎุทูˆุฉ ุงูˆู„ู‰ ุจู†ู‡ุง ุชู†ุฌูŠุจ ุงู„ู„ู‰ ู‡ูˆ ุงู„ auto
226
00:16:26,230 --> 00:16:29,630
correlation ู‡ุงุฏู‰ ู…ู† ุฎู„ุงู„ู‡ ู†ุถุฑุจู‡ู… ู‡ุงุฏู‰ ุงู„ู…ุนุงุฏู„ุฉ
227
00:16:29,630 --> 00:16:36,530
ู†ุถุฑุจู‡ุง ุจู…ูŠู† ุจ XT ุฒุงุฆุฏ Hู…ุตุจูˆุท ูู„ูˆ ุทู„ุจู†ุงู‡ุง ุจ XT ุฒุงุฏ
228
00:16:36,530 --> 00:16:40,230
H ูˆุงุฎุฏู†ุงู‡ุง ุงู„ covariance ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุชุนุฑููˆุง ุงู„
229
00:16:40,230 --> 00:16:42,930
covariance ุนู†ุฏ ุงู„ lag H ุงู„ู„ูŠ ู‡ูˆ ุงู„ covariance ุจูŠู†
230
00:16:42,930 --> 00:16:47,510
XT ุฒุงุฏ H ูˆ XT ุงู„ู„ูŠ ู‡ูˆ ุจูŠุณุงูˆูŠ ุงู„ expectation ู„ ู…ูŠู†
231
00:16:47,510 --> 00:16:53,030
XT ุฒุงุฏ H ููŠ ู…ูŠู† ููŠ expectation ู„ XT ู†ุงู‚ุต
232
00:16:53,030 --> 00:16:58,870
expectation ู„ XT ุงู„ู„ูŠ ู‡ูˆ ุณูุฑ ู…ุตุจูˆุท ุนุงุฑููŠู† ู„ูŠุด ุณูุฑ
233
00:16:58,870 --> 00:17:02,530
ู‚ู„ู†ุง ู„ูŠุด ุณูุฑ ุฒู…ุงู† ู„ุฃู† ู‡ุฐุง ุจุชุญูˆู„ ุฅู„ู‰ ุตูŠุบุฉ moving
234
00:17:02,530 --> 00:17:07,530
average infinityูŠุนู†ูŠ ูƒู„ู‡ ุจุฏู„ุงุช ุฃุจุณู„ูˆู†ุงุช ูˆุงู„ุฃุจุณู„ูˆู†
235
00:17:07,530 --> 00:17:13,190
ุงู„ู‡ูˆ white noise ูุงู„ zero ุฎู„ุตุช okay ุทูŠุจ ู†ุจู„ุด ู†ุฌูŠุจ
236
00:17:13,190 --> 00:17:17,070
ููŠ expectation XT ุฒูŠ H ููŠ expectation ุนููˆุง ููŠ XT
237
00:17:17,070 --> 00:17:21,630
ู‡ู„ุง ูŠุง ุจู†ุงู‡ ุดูˆ ุฑุงูŠูƒูˆุง XT ุฒูŠ H ู‡ุฐูŠ ุฃุฑูุญู‡ุง ูˆ ุฃุญุท ุจุฏู„
238
00:17:21,630 --> 00:17:29,630
T ู‡ู†ุง ูŠุนู†ูŠ T ุฒูŠ H ูู…ูŠุตูŠุฑ ูุงูŠ T ู‡ุฐูŠ ุงูŠุด ุจุชุตูŠุฑ T ุฒูŠ
239
00:17:29,630 --> 00:17:35,690
H ู…ุงุฌุณ ูˆุงุญุฏ ู‡ูŠุงุฒุงุฆุฏ ู‡ุฐุง ุฅุจุณู†ุงู† ุดูˆู‡ุฑ T ุฒุงุฏ H ูˆุงุถุญ
240
00:17:35,690 --> 00:17:40,950
ุฃู…ุงู…ูƒู… ุงู„ู…ุงูˆุณ ุฒุงุฆุฏ ุซูŠุชุง ููŠ ู…ูŠู† ู‡ุฐู‡ ุงุณู…ู‡ุง T ุฒุงุฏ H
241
00:17:40,950 --> 00:17:45,930
ู†ู‚ุต ูˆุงุญุฏ ู‡ุงูŠ ู‡ู… ู‡ุฏูˆู† ุฃุถุฑุจู‡ู… ููŠ ู…ูŠู† ููŠ XT ูˆ ุฃุฎุฏู‡ู…
242
00:17:45,930 --> 00:17:51,330
ู…ูŠู† ุงู„ expectation ุนู„ู… ู…ุด ุฃุดูŠ ูƒุจูŠุฑ ุทูŠุจ ูˆุฒุนูŠู„ูŠ
243
00:17:51,330 --> 00:17:55,610
ุจุงู„ู„ู‡ ุงู„ XT ุนู„ู‰ ูƒู„ ุญุฏ ู…ู† ู‡ุฏูˆู„ ุงู„ุญุฏูˆุฏ ูˆ ุซู… ูˆุฒุนูŠ
244
00:17:55,610 --> 00:18:00,230
ุจุงู„ู…ุฑุฉ ุงู„ expectation ู„ุฃู†ู‡ ู†ูŠู†ูŠุฑ ุนู„ู… ูุฅูŠุด ุจูŠุตูŠุฑ ููŠ
245
00:18:01,180 --> 00:18:06,160
ูู‰ expectation ู…ูŠู† ุฃูˆู„ ุญุงุฌุฉ Xt ุฒุงุฏุชุด ู†ุงุฌุณ ูˆุงุญุฏ
246
00:18:06,160 --> 00:18:10,460
ู…ุถุฑูˆุจุฉ ููŠ ู…ูŠู† ูู‰ Xt ุงู„ู„ู‰ ู‡ูˆ ู‡ุฐุง ุงุฒุงูŠ expectation
247
00:18:10,460 --> 00:18:16,760
ู…ูŠู† ุงุจุณู„ุงู† ุชู‰ ุฒุงุฏุชุด ููŠ ู…ูŠู† ูู‰ Xt ุงุฒุงูŠExpectation
248
00:18:16,760 --> 00:18:21,060
ุทุจุนุง ููŠ ฮธ ุจุชุทู„ุน ุจุฑุง Epsilon T ุฒุงุฏ ุงู„ H ู†ุงุฌุณ ูˆุงุญุฏ
249
00:18:21,060 --> 00:18:25,460
ููŠ ู…ูŠู†ุŸ ููŠ XT ุฃุนู…ู„ู‡ ุจุงู„ุฃุญู…ุฑ ุฃู†ุง ูˆู…ุณู…ูŠู‡ ู…ุนุงุฏู„ุฉ ู…ูŠู†ุŸ
250
00:18:25,460 --> 00:18:29,480
ูˆุงุญุฏ ุนุดุงู† ุฃู†ุง ู‡ุฑุฌุนู„ู‡ ู‡ู„ุฃ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ูˆุงุญุฏ ุจุฏูŠ ุฃุฌูŠุจ
251
00:18:29,480 --> 00:18:33,140
ุงู„ุชู„ุงุช ุญุฏูˆุฏ ู‡ุฐุง ุงู„ุญุฏ ูˆ ู‡ุฐุง ุงู„ุญุฏ ูˆ ู‡ุฐุง ุงู„ุญุฏ ุนู„ู…ุŸ
252
00:18:33,140 --> 00:18:37,640
ุฃูˆู„ ุญุฏ ุณู‡ู„ ุฌุฏุง ู„ูŠุดุŸ ู„ุฃู† ุงู„ expectation ุจูŠู† XT ุฒุงุฏ
253
00:18:37,640 --> 00:18:42,500
H ู†ุงุฌุณ ูˆุงุญุฏ ูˆ XT ุดูˆ ุงู„ expectation ุจูŠู†ู‡ู…ุŸ ูƒุฏุด ูุฑู‚
254
00:18:42,500 --> 00:18:48,950
ุงู„ุฒู…ู†ุŸH ู†ุงู‚ุต ูˆุงุญุฏ ูู‡ุฐุง ุงุณู…ู‡ gamma ุงู„ H ู†ุงู‚ุต ูˆุงุญุฏ
255
00:18:48,950 --> 00:18:55,310
ุณู‡ู„ ุฎู„ุต ู‡ุฐุง ู…ุด ู‚ุตุฉ ู‡ุฐุง ุตุญ ู„ุฃู† ุดุบู„ูƒ ูˆูŠู† ู‡ูŠ ุณูŠู„ ุนู„ู‰
256
00:18:55,310 --> 00:18:59,350
ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ expectation ู…ูŠู† ุฃุจุณุท ูˆ ุงู… ุชุฒุงุฏ ุงุชุด
257
00:18:59,350 --> 00:19:02,710
ูˆ ู…ุน ู…ูŠู† ู…ุถุฑูˆุจุฉ ููŠ XT ุจุฏู†ุง ู†ุฌูŠุจู‡ุง ูˆ ู…ู† ุซู… ู…ูŠู†
258
00:19:02,710 --> 00:19:07,790
ู„ุฎูŠุฑุฉ ูˆ ู†ุนูˆุฏ ูˆ ู†ุดูˆู ุดูˆ ุจูŠุตูŠุฑ ู‡ู„ุฃ ู‚ุจู„ ู…ุง ุงู†ุง ุจู„ุด
259
00:19:07,790 --> 00:19:12,090
ุงุฌูŠุจู‡ุง ุชุฐูƒุฑูˆุง ู…ุนุงูŠุง ุงู† ุทุงู„ู…ุง ุงู†ุช ูุฑุถุช ุงู† ุงู„ casual
260
00:19:12,090 --> 00:19:17,310
arm ู‡ุฐูŠูŠุจู‚ู‰ ุชุณุชุทูŠุนูŠู† ูƒุชุงุจุฉ ุงู„ XT ุนู„ู‰ ุตูŠุบุฉ Infinity
261
00:19:17,310 --> 00:19:21,770
Moving Average ูˆู„ุง ู„ุฃุŸ ุฅุฐุง ู‡ุฐู‡ ุฐุงูƒุฑูŠู†ู‡ุง ุฅู† XT
262
00:19:21,770 --> 00:19:27,430
ุชุณุงูˆูŠ summation ู…ู† Zero ุฅู„ู‰ Infinity ุงู„ู„ูŠ ู‡ูˆ Psi A
263
00:19:27,430 --> 00:19:31,730
ููŠ Epsilon T minus I ู‡ู„ุฃ ุณุคุงู„ ูŠุง ุจู†ุงุช ุงู„ู„ูŠ ุจ Size
264
00:19:31,730 --> 00:19:37,550
ู‡ุฏูˆู„ ุฐุงูƒุฑูŠู†ู‡ุง ูƒูŠู ุจู†ุฌุงูˆุจูˆุง ูŠูˆู…ู‡ุงุŸ ู…ู† ุงู„ relation
265
00:19:37,550 --> 00:19:43,080
ุงู„ู„ูŠ ู‡ูŠ ู…ูŠู†ุŸุจุณุงูŠู… ูุงูŠ ุจูŠุชุณุงูˆูŠ ูุงูŠ ู…ุธุจูˆุท ุฐุงูƒุฑูŠู†ู‡ุง
266
00:19:43,080 --> 00:19:47,920
ู„ู…ุง ุญูƒูŠู†ุง ุนู† ุงู„ impulse ุงู„ sequence ูˆุบูŠุฑู‡ุง ูˆุทุจุนุง
267
00:19:47,920 --> 00:19:51,760
ุจุงู„ู…ู†ุงุณุจุฉ ู‡ู†ุง ุงู„ูุงูŠุงุช ูˆุงู„ุซูŠุชุงุฒ ุงู„ู„ูŠ ุฑุงูŠุญุงุช ู…ุด
268
00:19:51,760 --> 00:19:55,020
ุฑุงูŠุญุงุช ุงู„ู„ูŠ ุจุณ ูุงูŠ ูˆุงุญุฏุฉ ูˆุซูŠุชุง ูˆุงุญุฏุฉ ูˆู„ุฐู„ูƒ ู‡ุฐุง ู‡ูŠ
269
00:19:55,020 --> 00:19:59,760
ุงู„ุนู„ุงู‚ุฉ ู…ุงููŠ ุฏุงุนูŠ ู†ู‚ูˆู„ ูˆุงุญุฏ ุฒุงุฆุฏ ุซูŠุชุง ูˆุงุญุฏ ุจูŠู‡
270
00:19:59,760 --> 00:20:04,140
ุฒุงุฆุฏ ุซูŠุชุง ุชู†ูŠู† ุจูŠู‡ ุชุฑุจูŠู‡ ูˆู‡ุง ูƒุฐุง ุจุณ ู…ุงููŠุด ุงู„ู„ูŠ
271
00:20:04,140 --> 00:20:09,990
ุซูŠุชุง ูˆุงุญุฏุฉ ูุงูŠ ูˆุงุญุฏุฉ ู…ุธุจูˆุทุชู…ุงู…ุŸ ูุจู‚ูˆู„ูƒ ุงู†ุง ู‡ู†ุง
272
00:20:09,990 --> 00:20:13,670
ุงุฑุฌุนูŠู„ูŠ ุจุงู„ู„ู‡ ุนุดุงู† ุชุชุฐูƒุฑ ูƒูŠู ุงู„ lip size ู†ุฌูŠุจู‡ ู…ู†
273
00:20:13,670 --> 00:20:17,270
ุฎู„ุงู„ ุฏุฑุณู†ุง ุงู„ู„ูŠ ุดุฑุญู†ุงู‡ ุณุงุจู‚ุง ุงู„ู„ูŠ ู…ุชุนู„ู‚ ุจู…ูŠู† ุงู„
274
00:20:17,270 --> 00:20:21,590
impulse response sequence ูˆ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ู‡ูˆ ู‡ุงูŠ ..
275
00:20:21,590 --> 00:20:25,910
ู‡ุฐุง ู‡ู… ุงู„ lip sizeุŒ ุงู„ู„ูŠ ุจุงู„ุฃุญู…ุฑุŒ ูŠูˆู… ุดุฑุญุชู„ูƒูˆุง
276
00:20:25,910 --> 00:20:29,750
ุงู„ุฏุฑุณ ู‡ุฐุงุŒ ู‡ู„ ู‡ูŠ ุจู†ุงุช lipsizeุŸ ู‡ูŠ ุนู„ุงู‚ุชู‡ุง ุชุณูˆุดูˆุง
277
00:20:29,750 --> 00:20:36,330
ูƒู…ุงู† ู…ุฑุงุชูุงูŠ ุจุตุงูŠ ุฌูŠ ู†ู‚ุต ูˆุงุญุฏ ุฒุงุฆุฏ ูุงูŠ ุชู†ูŠู† ุจุตุงูŠ
278
00:20:36,330 --> 00:20:41,930
ุฌูŠ ู†ู‚ุต ุชู†ูŠู† ูˆ ู‡ูƒุฐุง ุญุชู‰ ูุงูŠ ุจูŠ ุฌูŠ ู†ู‚ุต ุจูŠ ุฒุงุฆุฏ ู…ูŠู†
279
00:20:41,930 --> 00:20:45,510
ุซุชุง ุฌูŠ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ู‚ุจู„ ู‚ู„ูŠ ูƒุงู† ู…ูŠู† ุนู†ุฏ ุงู„ุฌูŠ ุฃูƒู…
280
00:20:45,510 --> 00:20:50,990
ุซุชุง ูŠุนู†ูŠ ุงู„ุซุชุง ูˆุงุญุฏุฉ ูˆ ุงู„ูุงูŠุงุชูุงูŠุฉ ูˆุงุญุฏุฉ ุจุณ ูŠุจู‚ู‰
281
00:20:50,990 --> 00:20:54,830
ุงู†ุง ู…ุด ู‡ุญูƒูŠ ุงู„ุง ุนู† ูุงูŠุฉ ูˆุงุญุฏุฉ ูˆุนู† ู…ูŠู† ุซุชุง ูˆุงุญุฏุฉ
282
00:20:54,830 --> 00:20:58,390
ู…ุธุจูˆุทุŸ ูˆ ุงู„ูุงูŠุฉ ุงุชู†ูŠู† ูˆุบูŠุฑู‡ุง ุฏูˆู„ ูƒู„ู‡ู… ู…ุงู„ู‡ู… ุฃุตูุงุฑ
283
00:20:58,390 --> 00:21:02,070
ู…ุธุจูˆุท ูˆู„ุง ู„ุงุŸ ูˆ ู„ุฐู„ูƒ ู†ุฑุฌุน ู„ .. ููŠ ุงู„ุญุงู„ุฉ ุงู„ุฎุงุตุฉ
284
00:21:02,070 --> 00:21:05,390
ุงู„ู„ูŠ ู‡ูŠ ุงููˆู† ุงู†ุง ุจุฑุฌุน ู„ูˆุฑู‚ู‡ุง ุงู„ู…ูุฑูˆุถ ุฌุฏุง ููŠ ุงู„ุญุงู„ุฉ
285
00:21:05,390 --> 00:21:10,270
ุงู„ุฎุงุตุฉ ุงู„ุงุฑู…ุง ูˆุงุญุฏ ูˆูˆุงุญุฏ ุญู‚ูŠู‚ุฉ ููŠ ุนู†ุฏูŠ ุจุณุงูŠุฉ ูˆุงุญุฏ
286
00:21:10,270 --> 00:21:17,410
ุดูˆ ุจุชุณุงูˆูŠุŸ ูุงูŠุฉูุงูŠู ุจู€ size 0 ุตุญุŸ ู…ุงู† ู‡ูŠ ุจู€ size
287
00:21:17,410 --> 00:21:22,890
0ุŸ ูˆุงุญุฏ ุฒุงุฆุฏ ู…ูŠู†ุŸ ุซุชุง ุฃู„ุง ุจู€ size 9 ู†ู‚ุฏุฑ ู†ุฌูŠุจู‡ุง
288
00:21:22,890 --> 00:21:28,910
ุจุงู„ู…ู†ุงุณุจุฉ ุจุณ ู‡ุชูƒูˆู† ุนู„ุงู‚ุฉ ุจุณ ุจู…ูŠู†ุŸ ุจุงู„ูุงู‰ ูˆ ุจู…ูŠู†ุŸ ูˆ
289
00:21:28,910 --> 00:21:33,820
ุจุงู„ุซุชุง ุจุณ ู…ุด ู‡ูƒุชุฑูˆู„ูƒู† ุฃู†ุง ุญู‚ูŠู‚ุฉ ู…ุง ุจู„ุฒู…ู†ูŠ ููŠ ุงู„
290
00:21:33,820 --> 00:21:37,040
auto correlation function ุชุจุนุชูŠ ุงู„ R ู…ุง ุฅู„ุง ุจุณู…ูŠ
291
00:21:37,040 --> 00:21:41,040
ุฃุชุนุฑู ุนู† ุงู„ู„ูŠ ุจุตูŠ Zero ูˆ ุจุตูŠ ูˆุงุญุฏ ู…ุง ุจู„ุฒู…ู†ูŠ ุฃูƒุชุฑ
292
00:21:41,040 --> 00:21:44,440
ู…ู†ู‡ู… ุนู† ุฌุฏ ุนุดุงู† ู‡ูŠูƒ ู‡ู†ุฌูŠุจ ุชูƒูŠูŠุฑ ู„ุญุฏ ุงู† ุงู†ุง ูˆุงุถุญ
293
00:21:44,440 --> 00:21:49,200
ุงู„ุฃู…ูˆุฑ okay ู‡ู„ุง ู‡ู†ุจู„ุด ู†ุฌูŠุจ ููŠ ุงู„ 10 10 ุงู†ุง
294
00:21:49,200 --> 00:21:53,920
ุจุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ุณู…ูŠุชู‡ุง ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… 1 ุจุฏูŠ ุฃุจู„ุด ุฃุฌูŠุจ
295
00:21:53,920 --> 00:21:57,440
ุงู„ุฃูˆู„ู‰ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุจู†ุช ูƒู…ุงู† ู…ุฑุฉ expectation mean
296
00:21:58,860 --> 00:22:03,040
ุฃุจุณู„ูˆู† T ุฒูŠ ุงู„ H ู…ุถุฑูˆุจุฉ ููŠ ู…ูŠู† XT ู‡ู„ ุจุชู†ุณูˆุด ู…ูŠู†
297
00:22:03,040 --> 00:22:08,540
XTุŸ ู…ูŠู† ู‡ูŠ XTุŸ ู‡ูŠ summation ุงู„ู„ูŠ ู‡ูŠ infinity
298
00:22:08,540 --> 00:22:13,240
moving average ู…ุงุดูŠุŸ ูˆ ู„ุฐู„ูƒ ุนุดุงู† ุฃุฌูŠุจ ุงู„
299
00:22:13,240 --> 00:22:17,100
expectation ู„ุฃุจุณู„ูˆู† T ุฒูŠ ุงู„ H ููŠ XT ู‡ูŠ ูŠุจู‚ู‰
300
00:22:17,100 --> 00:22:22,040
expectation ู„ุฃุจุณู„ูˆู† ุจุญุท ุฒูŠ ู…ูŠุฉ ูˆู„ูƒู† ุจุฑูุน ุงู„ XT ุดูˆ
301
00:22:22,040 --> 00:22:25,940
ุจุญุท ุจุฏู„ู‡ุงุŸุงู„ู„ูŠ ู‡ูˆ summation ุชุจุน ุงู„ moving
302
00:22:25,940 --> 00:22:30,620
summation ู…ู† ุฌูŠู‡ ุชุณุงูˆูŠ zero ู„ ุงู„ infinity ุจุตูŠ ุฌูŠู‡
303
00:22:30,620 --> 00:22:35,960
ูˆุงุถุญ ู…ุถุฑูˆุจุฉ ููŠ epsilon T minus G ุทูŠุจ ูˆ ูŠุณุงูˆูŠ ู‡ู„ุฃ
304
00:22:35,960 --> 00:22:39,660
ุฏุฎู„ูŠ ุฏูŠ ุจุงู„ู„ู‡ ู‡ุงูŠู‡ุงู† ูŠุนู†ูŠ ุฌูˆุง ุงู„ summation
305
00:22:39,660 --> 00:22:42,240
ู…ุงุจุชุนู…ู„ุงุด ุงุดูŠ ู‡ุงุฏูŠ ู…ุงู„ุงุด ุนู„ุงู‚ุฉ ุฃุตู„ุง ุจุงู„ summation
306
00:22:42,240 --> 00:22:47,000
ุนู„ู… ูˆ ูˆุฒุน ุงู„ expectation ู„ุฅู†ู‡ linear ุชุจุชุนุฑููˆุง
307
00:22:47,000 --> 00:22:50,780
expectation ุนู„ู‰ ุงู„ summation ุจุชูˆุฒุน ูุจุตูŠ summation
308
00:22:50,780 --> 00:22:56,750
ุจุตูŠ ุฌูŠู‡ ููŠ ู…ูŠู†ุฃู‡ ู‡ุงูŠ ูˆุงู„ู„ู‡ ููŠ expectation ู…ุงุจูŠู†ู‡
309
00:22:56,750 --> 00:23:02,110
ู…ูŠู† ูˆู…ูŠู† ุฃุจุณู„ูˆู† T ุฒุงุฏ ุงู„ H ูˆู…ุงุจูŠู†ู‡ ุฃุจุณู„ูˆู† T minus
310
00:23:02,110 --> 00:23:06,130
ุงู„ J ู…ุตุจูˆุญุŸ ู‡ู„ ู‡ุชุทู„ุนูˆู†ูŠ ุจุงู„ู„ู‡ ุงู„ุฃุจุณู„ูˆู† ุชู†ุณูˆุด ุงู† ู‡ูˆ
311
00:23:06,130 --> 00:23:09,570
white noise ุดูˆ ูŠุนู†ูŠ white noiseุŸ ูŠุนู†ูŠ ุฏุงุฆู…ุง ุฃุตูุฑ
312
00:23:09,570 --> 00:23:14,690
ุนู†ุฏ ุงุฎุชู„ุงู ุงู„ุฃุฒู…ู†ุฉ ุจุงุณุชุซู†ุงุก ุงู†ู‡ Sigma ุชุฑุจูŠุน Sigma
313
00:23:14,690 --> 00:23:19,630
ุชุฑุจูŠุน ุนู†ุฏู‡ ู†ูุณ ุงู„ุฒู…ู† ู‡ู„ู‡ ุดูˆ ุฑุงูŠูƒ ู„ูˆ ุงู„ H ู…ุซู„ุง ู…ุซู„ุง
314
00:23:19,630 --> 00:23:23,010
ุงู„ H ุจ Zero ู‡ุฐุง ุงู„ H ุจ Zero ุดูˆ ุตู ู‡ุงูŠุŸ
315
00:23:38,930 --> 00:23:43,950
ุงู„ุฃูˆู„ ุญุฏ ูู‚ุท ู‡ูˆ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ูˆ ุงู„ุจุงู‚ู‰ ุฃุตูุฑุŒ ู…ุธุจูˆุท ูŠุง
316
00:23:43,950 --> 00:23:47,870
ุจู†ุงุชุŸ ูุฅุฐุง ุจูŠุตู ุนูŠู†ูƒูˆุง ุจู€Size Zero ูˆุนุงุฑููŠู† ู…ูŠู†
317
00:23:47,870 --> 00:23:51,900
ุจู€Size ZeroุŸ ูˆุงุญุฏููŠ sigma ุชุฑุจูŠู‡ ูŠุนู†ูŠ ุดูˆ ุตู ูŠุนู†ูŠ
318
00:23:51,900 --> 00:23:55,720
ุจุงุฎุชุตุงุฑ sigma ุชุฑุจูŠู‡ ูˆ ู‡ุฐุง ุงู„ู„ูŠ ุฒู…ุงู† ุฐุงูƒุฑูŠู†ู‡ ู„ู…ุง
319
00:23:55,720 --> 00:23:59,200
ู‚ู„ุชู„ูƒูˆุง ูˆ ุงุนู„ู…ุช ุงุณุชูู‡ุงู… ูˆ ู‚ู„ุชู„ูƒูˆุง ู„ูŠุด ุงู† ุงู„
320
00:23:59,200 --> 00:24:03,200
expectation ุจูŠู† epsilon T ูˆ XT ุจูŠุณุงูˆูŠ ุดูˆูŠุฉ sigma
321
00:24:03,200 --> 00:24:08,180
ุชุฑุจูŠู‡ ุงูŠู† ุงู„ุงู† ุงู„ู„ูŠ ูˆุฑูŠุชู‡ ุทูŠุจ ูŠุง ุจู†ุงุช ู„ู…ุง ุงู„ H
322
00:24:08,180 --> 00:24:12,360
ู…ุซู„ุง ู…ุด zero ุงู„ H ู…ุซู„ุง ูˆุงุญุฏ ุงูˆ ุงุชู†ูŠู† ุงูˆ ุงูŠ ู‚ูŠู…ุฉ
323
00:24:12,360 --> 00:24:20,020
ุงูŠุด ุจุชุตู ู‡ุฐู‡ T ุฒุงุฏ ุงู„ HT minus J ุฃู…ุฑู‡ู… ู…ุชุณุงูˆู‰ ูˆู„ุง
324
00:24:20,020 --> 00:24:23,580
ุฃู…ุฑู‡ู… ู‡ุฐูŠูƒ ู†ุงุฌุณ ูˆ ู‡ุฐูŠ ุฒุงูƒูŠ ู‡ุฐูŠ T ุฒุงุฏูŠ ุงู„ H ูˆ ุงู„ H
325
00:24:23,580 --> 00:24:29,560
ู…ูˆุฌุฉ ู…ุธุจูˆุท ูˆ ู‡ุฐูŠูƒ T ู†ุงุฌุณ J ุฅู„ุง ุฅุฐุง ูƒุงู† ุงู„ H ุณุงู„ุจ ูˆ
326
00:24:29,560 --> 00:24:32,420
ุงู„ X ุณุงู„ุจ ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุณ ุงุญู†ุง ุนู…ู„ูŠุง ู‡ุงู† ุงู„ H
327
00:24:32,420 --> 00:24:35,940
ู‡ุงุชู…ุงู„ูŠ ุงู†ุง ู…ุด ุทุฑุท ุนู„ูŠูƒูŠ ุงู†ู‡ ุฃูƒุจุฑ ู…ู† ุฃูˆ ุณุงูƒู† ูˆ
328
00:24:35,940 --> 00:24:40,660
ู„ุฐู„ูƒ ู‡ุฐู‡ ุงู„ุนุจุงุฑุฉ ูˆุงุถุญุฉ ุชู…ุงู… ูˆ ุฃู†ุง ุจุณู…ูŠู‡ุง ุฑู‚ู… ุงุชู†ูŠู†
329
00:24:40,660 --> 00:24:48,300
ุดูˆู‡ ู‡ุฐูŠ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ุงุชู†ูŠู† okay ููŠ ุณุคุงู„ู‡ูŠุด ุงู„ู„ูŠ ู…ุด
330
00:24:48,300 --> 00:24:55,600
ูˆุงุถุญุฉ ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡
331
00:24:55,600 --> 00:25:00,800
ููŠ Zero ู„ู…ุง
332
00:25:00,800 --> 00:25:03,660
ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง
333
00:25:03,660 --> 00:25:03,780
ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง
334
00:25:03,780 --> 00:25:05,040
ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง
335
00:25:05,040 --> 00:25:05,040
ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง
336
00:25:05,040 --> 00:25:05,040
ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง
337
00:25:05,040 --> 00:25:07,820
ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง
338
00:25:07,820 --> 00:25:12,800
ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง
339
00:25:12,800 --> 00:25:17,240
ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ ููŠ Zero ู„ู…ุง ู†ุฌูŠู‡ููŠ epsilon t
340
00:25:17,240 --> 00:25:21,860
minus j ู…ุชู‰ ู‡ุฐู‰ ุจุชุณุงูˆูŠ sigma square ูˆ ุงู„ุจุงู‚ู‰ ุฃุตูุฑ
341
00:25:21,860 --> 00:25:27,340
ู…ุชู‰ ู„ู…ุง ุงู„ T ุจุชุณุงูˆูŠ T minus J T ุจุชุณุงูˆูŠ T minus J
342
00:25:27,340 --> 00:25:34,280
ูŠุฌุฒุฌู†ูŠ ูููŠุด ุงู„ุฃูˆู„ ุญุชู‰ ูˆ ุงู„ุจุงู‚ู‰ ู„ุฅู† ุงู„ J ู‚ุฏุฏ ู…ู† ุฃูŠู†
343
00:25:34,280 --> 00:25:39,720
ุจูŠู…ุดูŠ ู…ู† zero ู„ infinite ุชู…ุงู… ููŠ ุฏู‡ ูŠุฌูˆู… ูˆู„ุง ูˆุงุถุญุฉ
344
00:25:39,720 --> 00:25:45,260
ูˆุงุถุญุฉ ุทูŠุจุณู…ูŠุชู‡ุง ุงู„ู…ุนุงุฏู„ุฉ 2 ุนุงุฑููŠู† ู„ูŠุด ูŠุง ุจู†ุงุชุŸ ู„ุฅู†
345
00:25:45,260 --> 00:25:49,200
ุจุฏูŠ ุฃุฑูุนู‡ุง ุงู„ุขู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ูˆุงุญุฏ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ุชุงู†ูŠุฉ
346
00:25:49,200 --> 00:25:52,620
ูˆ ุฃุญุท ู…ุฏุงู„ู‡ุง ู…ูŠู† ุงู„ุขู† ุงู„ู„ูŠ ุทู„ุนุชู‡ ููŠู‡ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง
347
00:25:52,620 --> 00:25:57,720
ู‡ุฐุง ุฃุญุทู‡ ุนู†ุฏู…ุง ุงู„ู€H ู…ุงู„ู‡ุง Zero ุนู†ุฏู…ุง ุงู„ู€H ู…ุงู„ู‡ุง
348
00:25:57,720 --> 00:26:02,920
ุฃูƒุจุฑ ู…ู† ุฃูˆุณุน ูˆุงุญุฏ ู‚ูˆู„ู…ุŸ ุทูŠุจ ุจู†ูุณ ุงู„ู…ู†ุทู‚ุฉ ูŠู„ู‘ุง ู†ุฌูŠุจ
349
00:26:02,920 --> 00:26:08,000
ุงู„ู„ูŠ ู‡ูŠ ู…ูŠู† ุขุฎุฑ ูˆุงุญุฏุฉ ุงู„ู„ูŠ ู‡ูŠ expectation T ุฒูŠุฏูŠ
350
00:26:08,000 --> 00:26:14,440
ุงู„ู€H minus ูˆุงุญุฏ ููŠ ู…ูŠู† ููŠ XT ู†ูุณ ุงู„ุดูŠุกุทูŠุจ ุจูŠุณูˆูŠ
351
00:26:14,440 --> 00:26:19,380
expectation ู‡ุฐุง ุงู„ูƒู„ุงู… ุตุญุŸ ุงู†ุง ุฑูุนุช ุงู„ exchange ูˆ
352
00:26:19,380 --> 00:26:24,620
ุญุทูŠุช ุจุฏุงู„ู‡ู… ุตู…ุงุด ุงู„ infinity moving average ูˆ ุทุจุนุง
353
00:26:24,620 --> 00:26:30,220
ู„ุฅู† ุงู„ expectation ู„ูŠู†ูŠุงุฑ ุจุชูˆุฒุน ุงุนุชู‚ุฏ ูˆุงุถุญ ู†ุจู„ุดุŒ
354
00:26:30,220 --> 00:26:33,620
ู…ูŠู† ููƒุฑูƒูˆุง ุฃูˆู„ ุฎุทูˆุฉ ุจุฏุฃ ุฃู‚ูˆู„ูƒูˆุง ูŠุง ู‡ู†ุงุŸ ุงู‡ bravo
355
00:26:33,620 --> 00:26:41,180
ุนู„ูŠูƒ ู„ู…ุง ู†ู„ู‚ุงุด ุจ zero ุดูˆ ุจุชุตู ูŠุง ุฏูŠุŸ ุช ู†ุงู‚ุต ูˆุงุญุฏ ูˆ
356
00:26:41,180 --> 00:26:47,450
ู‡ุฏ ุช ู†ุงู‚ุต ุงู„ jู‡ูŠ ู‡ูˆ bravo ู„ู…ุง ุงู„ J ุจูˆุงุญุฏ ู…ุน ุงู„ H ุจ
357
00:26:47,450 --> 00:26:53,550
zero .. ุงู‡ ู„ุญุธุฉ ูƒู…ุงู† ู…ุฑุฉ ุงู„ H ุจ zero ูˆ ุงู„ J ุจ ูˆุงุญุฏ
358
00:26:53,550 --> 00:26:58,590
ุจูŠุตูŠุฑ sigma square ู…ุตุจูˆุญุŸ ุงุฐุง ุจูŠุทู„ุน ู…ุงู†ูŠ ู‡ูˆ ุงู„ุญูุธ
359
00:26:58,590 --> 00:27:08,630
ุงู„ุฃูˆู„ุงู†ูŠุตุญ ุณูŠ ูˆุงุญุฏ ูˆ ุจุงู‚ูŠ ุงู„ู‚ูŠุงู… ู„ู‡ู… ุฃุตูุงุฑ ุตุญ ูŠุนู†ูŠ
360
00:27:08,630 --> 00:27:12,670
ุฃูˆู„ ุญุฏ ุนู†ุฏ ุงู„ ุฌูŠุจ ุฒูŠุฑูˆ ุฒูŠุฑูˆ ุนู†ุฏ ุงู„ุฌูŠุจ ูˆุงุญุฏ ู„ุฃ
361
00:27:12,670 --> 00:27:17,450
ุจูŠุทู„ุนุด ุฒูŠุฑูˆ ุจูŠุณูˆูŠ ู‡ุฐุง ุงู„ู…ู‚ุฏุงุฑ ูŠุงุจุง ู†ู‡ุฏ ูƒู… ู…ุฑุฉ ู„ู…ุง
362
00:27:17,450 --> 00:27:26,970
ู†ู„ู‚ุงุด ุจุฒูŠุฑูˆ ู„ู…ุง ู†ู„ู‚ุงุด ุจุฒูŠุฑูˆ ุงูŠุด ุจุชุตููŠ ู‡ุงูŠT ู†ุงู‚ุต
363
00:27:26,970 --> 00:27:33,150
ูˆุงุญุฏ ูˆู‡ุฐู‡ T ู†ุงู‚ุต J ู…ุนู†ุงุชู‡ ุงู†ู‡ ุจุณ ุงู„ J ุจูŠุณูˆูŠ ูˆุงุญุฏ ูˆ
364
00:27:33,150 --> 00:27:38,790
ุจุงู‚ู‰ ุงู„ J ุจูŠุจู‚ู‰ ุฃุตูุฑ ูŠุนู†ูŠ J ุจ 0 0 ูˆ J ุจ 2 0 ุจุณ J
365
00:27:38,790 --> 00:27:42,650
ุงู„ูˆุงุญุฏ ุทูŠุจ ู‡ุงู„ุฌูŠุชู‡ุง ูƒู…ุงู† ู…ุฑุฉ ู…ูู‡ู…ุชุด ู„ูˆ ู„ุฃุชุด ุจูˆุงุญุฏ
366
00:27:42,650 --> 00:27:47,030
ุงู„ุขู† ุงุช ุงู„ุงู†
367
00:27:47,030 --> 00:27:52,350
ู„ูˆ ู„ุฃุชุด ุจูˆุงุญุฏ ู‡ุฐู‡ ู‡ุชุตูŠุฑ ุงุณู…ู‡ุง epsilon T ู„ุญุงู„ู‡ุง
368
00:27:52,350 --> 00:28:00,030
ูˆู‡ุฐู‡ T minus JูŠุจู‚ู‰ ุงู„ J ู„ุงุฒู… ุชูƒูˆู† ู…ุงู„ู‡ ุงู†ุง ูˆ ุจู‚ู‰
369
00:28:00,030 --> 00:28:05,370
ุงู„ ุฌูŠุฒ ุฃุณูุฑ ู‡ุฐุง ู‡ูˆ ุงู„ุญุฏ ุงู„ุชุงู†ูŠ ุนู„ู…ุŸ ูุฅุฐุง ุตุงุฑุช ู‡ุฐู‡
370
00:28:05,370 --> 00:28:12,430
ุนุจุงุฑุฉ ุนู† ุชู„ุช ู‚ูŠู… ูŠุง ุฅู…ุง H ุจ Zero ูŠุง H ุจ ูˆุงุญุฏ ูŠุง
371
00:28:12,430 --> 00:28:16,670
ุฅู…ุง H ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณูˆูˆุง ุงุชู†ูŠู† ุฏุงุฆู…ุง ุฃุณูุฑ ุนู…ุฑุง ู…ุง
372
00:28:16,670 --> 00:28:21,180
ุงู„ู„ู‡ ูŠู„ุนู†ู‰ ู„ู…ุง ู†ุงุชุด ุจ Zero ุจูŠุนุทูŠูƒ ู‡ุฐู‡ ุดูุชู‡ ู„ูŠุดุŸุฃุชุด
373
00:28:21,180 --> 00:28:24,400
ุจูˆุงุญุฏ ุจูŠุนุทูŠูƒ ู‡ุฐู‡ ูˆุดูˆูุชูˆุง ูƒูŠู ุทุจ ุนู… ุชู†ุณูˆุด ุงู†ู‡ ุจsize
374
00:28:24,400 --> 00:28:29,560
0 ุจูŠุณุงูˆูŠ ูƒู…ุŸ ูˆุงุญุฏ ูŠุนู†ูŠ ู‡ุฐู‡ sigma ุชุฑุฌู…ูŠุฉ ุดูˆ ุฑุฃูŠูƒ
375
00:28:29,560 --> 00:28:33,640
ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ู†ุณู…ูŠู‡ุง ู…ูŠู†ุŸ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ู‡ุฐุง ุชู†ุณูˆุด
376
00:28:33,640 --> 00:28:37,960
ูƒู…ุงู† ุงู†ู‡ ุจsize 0 ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ุจsize ูˆุงุญุฏ ู…ูŠู†
377
00:28:37,960 --> 00:28:41,660
ุจุชุณุงูˆูŠุŸ ูุงุฆุฒุฉ ูุงุฆุฒุฉ ู‡ุฐุง ูƒูŠู ุญุตู„ุชูˆุง ุจุงู„ู…ู†ุงุณุจุฉ ู†ุชุฐูƒุฑ
378
00:28:41,660 --> 00:28:44,880
ู…ุน ุจุนุถ ูƒูŠู ุญุตู„ุชูˆุง ุนู„ู‰ ุจsize ูˆุงุญุฏ ุงู†ู‡ุง ุนุจุงุฑุฉ ุนู† ูุงูŠ
379
00:28:44,880 --> 00:28:51,260
ุฒุงุฆุฏ ุซูŠุชุง ู…ู† ูˆูŠู†ุŸู…ู† ุงู„ impulse response ู…ู† ุงู„ุนู„ุงู‚ุฉ
380
00:28:51,260 --> 00:28:56,980
ู‡ุฐู‡ ู…ู† ุงู„ุฏุฑุณ ุงู„ู„ู‰ ุดุฑุญู†ุงู‡ ูŠูˆู… ู…ุง ุญูˆู‘ู†ู†ุง ุงู„ุงุฑู…ุฉ ุงู„ู‰
381
00:28:56,980 --> 00:29:01,220
moving average ู…ุธุจูˆุท infinity ูุนุทุชู†ู‰ ู‡ุฐู‡ ุงู„ุนู„ุงู‚ุฉ
382
00:29:01,220 --> 00:29:04,300
ูˆุณู…ุชูˆู‡ุง ูŠูˆู…ู‡ุง ุงู„ impulse response sequence ุชุจุนุช
383
00:29:04,300 --> 00:29:09,780
ู…ุธุจูˆุท ุทุจุนุง ูƒุญุงู„ุฉ ุฎุงุตุฉ ุงู„ุงุฑู…ุฉ ู‡ู†ุง ูˆุงุญุฏ ูˆุงุญุฏ ู…ุด ุญุงู„ูŠ
384
00:29:09,780 --> 00:29:15,180
ุจู†ุงุชุทูŠุจ ู‡ู„ุง ู„ุงู† ุงู†ุง ุนู†ุฏูŠ ุตุงุฑ ู…ุนุงุฏู„ุฉ ุงุชู†ูŠู† ูˆ ู…ุนุงุฏู„ุฉ
385
00:29:15,180 --> 00:29:20,240
ุชู„ุงุชุฉ ุดูˆ ุฑุฃูŠูƒูˆุง ู‡ุฏูˆู„ุฉ ู…ุน ุงู„ู…ุนุงุฏู„ุฉ ูˆุงุญุฏ ู„ุฅู†ู‡ ุตุงุฑ
386
00:29:20,240 --> 00:29:23,680
ุงู†ุง ุจุนุฑู ูƒู„ ุฅุดูŠ ู†ุญุทู‡ู… together ูˆ ู†ุดูˆู ุดูˆ ุจูŠุตูŠุฑ
387
00:29:23,680 --> 00:29:27,680
ูุงู†ุง putting all equations ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ูˆ ุชู„ุงุชุฉ
388
00:29:27,680 --> 00:29:32,200
together we have ุงูˆ we obtain ู‡ู„ุง ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ
389
00:29:32,200 --> 00:29:37,100
ุงู„ู„ูŠ ุงุณู…ู‡ุง ุงู„ู„ูŠ ุญุตู„ู†ุง ุนู„ูŠู‡ุงุงู„ู€ gamma ุงู„ H ุงู„ู„ูŠ ู‡ูˆ
390
00:29:37,100 --> 00:29:41,380
ุงู„ covariance ุนู†ุฏ ุงู„ lag H ุจูŠุณูˆูŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃูˆู„ู‰
391
00:29:41,380 --> 00:29:47,720
ูƒุชุจุชู‡ุง ูƒู…ุงู† ู…ุฑุฉ ุงูˆู„ ูˆุงุญุฏุฉ ูŠุง ุจู†ุงุช ุงู„ุตุฑุงุญุฉ ุงู†ู‡ ุงูŠุด
392
00:29:47,720 --> 00:29:54,020
ุจุฏู‡ุง ุชูƒูˆู† ุจุชุณูˆูŠ gamma ุงู„ H ู†ุงู‚ุต ูˆุงุญุฏ ูˆู„ุง ุงู„ H
393
00:29:54,020 --> 00:29:57,900
ุจุชุงุนุชู‡ุง ู†ุดูˆู ุงู„ H ุนู†ุฏูƒ ุชู„ุช ุฎูŠุงุฑุงุช ู‡ุชูˆุง ุดูˆูู†ุง ูŠุง
394
00:29:57,900 --> 00:30:05,090
ุณูุฑ ูŠุง ูˆุงุญุฏ ูŠุง ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณูˆูˆุง ุงุชู†ูŠู†ู…ุธุจูˆุทุŸ ุนู†ุฏ
395
00:30:05,090 --> 00:30:08,730
ุงู„ุณูุฑ ุงูŠุด ูƒุงู† ุจูŠุนุทูŠู†ูŠ ุงู„ุญุฏ ุงู„ุฃูˆู„ุงู†ูŠ ูŠูˆู…ู‡ุงุŸ ุฅุฐุง
396
00:30:08,730 --> 00:30:13,590
ุจุชุฐูƒุฑูˆุง ู‡ุฐุงุŒ ู…ุด ุงู„ุฃูˆู„ุงู†ูŠ ุงู„ูˆุณุทุงู†ูŠ ุนููˆุง ุนู†ุฏ ุงู„ุณูุฑ
397
00:30:13,590 --> 00:30:18,490
ู„ู…ุง ู†ุฌุฏ ุณูุฑ ูŠุนู†ูŠ ูƒุงู† ุณูŠุฌู…ุง ุชุฑุจูŠุนุŒ ู…ุธุจูˆุทุŒ ุณูŠุฌู…ุง
398
00:30:18,490 --> 00:30:23,950
ุชุฑุจูŠุน ููŠ ุฃุจุณุงุท ุงู„ zero ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุงุŒ ุงู„ู„ูŠ ู‡ูˆ ูˆุงุญุฏุŒ
399
00:30:23,950 --> 00:30:27,410
ุณูŠุฌู…ุง ุชุฑุจูŠุน ูŠุนู†ูŠุŒ ุฅุฐุง ู‡ุฐุง ุนู†ุฏ ุงู„ edge of zero
400
00:30:27,410 --> 00:30:31,610
ุจู†ูุชุฑุถ ุฃู† ูŠูƒูˆู† ุณูŠุฌู…ุง ุชุฑุจูŠุนุทุจ ู„ู…ุง ู†ู‚ู„ุชุด ุจ zero ู‡ุฐุง
401
00:30:31,610 --> 00:30:38,670
ุฌุฏูŠุด ุจ CุŸ ู„ุญุฏ ุงู„ุฃุฎูŠุฑ ูŠุนู†ูŠ ุจุฑุงููˆ ุนู„ูŠูƒ ุจ Psi ูˆุงุญุฏ ู…ู†
402
00:30:38,670 --> 00:30:43,730
ู‡ูŠ ุจ Psi ูˆุงุญุฏุŸ ุงูŠูˆุงู† ู‡ูŠ Phi ุฒุงุฆุฏ ุซูŠุชุงุŒ ู…ุธุจูˆุท ูŠุง
403
00:30:43,730 --> 00:30:49,090
ุจู†ุงุชุŸ ูุงู‡ู…ูŠุด ุจุญูƒูŠุŸ ูุฅุฐุง ู‡ุฐุง ุญุฑู ุง ูˆ ุญุทู‡ุง ุจุฏุงู„ู‡ุŒ ุดูˆ
404
00:30:49,090 --> 00:30:56,090
ู‡ุญุท ุจุฏุงู„ู‡ุŸ Sigma ุชุฑุจูŠุน ู…ุถุฑูˆุจุง ููŠ ู…ูŠู†ุŸ Phi ุฒุงุฆุฏ
405
00:30:56,090 --> 00:31:01,910
ุซูŠุชุงุŒ ู…ุงุดูŠุŸู…ูู‡ูˆู…ุŸ ูˆููŠ ุซูŠุชุง ุชุงู†ูŠุฉ ู‡ู†ุง ุทุจุนุง ุชู†ุณูˆุด
406
00:31:01,910 --> 00:31:07,770
ูˆู‡ุฐุง ุญุฑู ุนุดูˆ ุญุทุจ ุฏู‡ ู„ู‡ุŸ sigma ุชุงุจุน ูˆู‡ุฐุง ุญุฑู ู‡ูˆ ุญุทุจ
407
00:31:07,770 --> 00:31:12,270
ุฌุงู„ู‡ ู…ูŠู†ุŸ gamma ู‡ูŠ H ู†ุงุฌุณ ูˆุงุญุฏ ูˆุงู„ู€H ุจุตูุฑุŒ ูŠุนู†ูŠ
408
00:31:12,270 --> 00:31:18,090
gamma ู…ูŠู†ุŸ ุงู„ุณู„ุจ ูˆุงุญุฏุŒ ู‡ูŠ gamma ุงู„ูˆุงุญุฏุŒ ู„ุฃู†ู‡
409
00:31:18,090 --> 00:31:23,410
symmetric ูุงู‡ู…ู†ุงุŸ ูุงู‡ู…ูŠู†ูŠ ูŠุง ุจู†ุงุชุŸ ูุฅุฐุง ุจูŠุนุทูŠู†ูŠ
410
00:31:23,410 --> 00:31:32,110
ู‡ุฐู‡ ุญุฏุŒ ุดูˆูุชูˆุงุŸ ุฃูˆู„ ูˆุงุญุฏุฉุตุญ ูˆู„ุง ู„ุฃ ุบู„ุทุงู†ุŸ ุทูŠุจ ู„ู…ุง
411
00:31:32,110 --> 00:31:36,890
H ุจูˆุงุญุฏ ุงู„ุงู† ูŠู„ุง ุนู†ุฏู…ุง H ุจูˆุงุญุฏ ุชุณุงูˆูŠ ูˆุงุญุฏ ุญุฏ
412
00:31:36,890 --> 00:31:42,250
ุงู„ุชุงู†ูŠ ูƒุฏู‡ ูƒุงู†ุŸ Zero ุงู„ุฃุฎุฑุงู†ูŠ ู‡ุงุช ุงู†ุง ุงุฑุฌุน ู„ู‡
413
00:31:42,250 --> 00:31:49,510
ุงู„ุฃุฎุฑุงู†ูŠ ู…ูŠู†ุŸ ุจุตูŠ ูˆุงุญุฏ ุนููˆุง ุนููˆุง ุฃู†ุง ู…ุชุฃุณู ุจุตูŠ
414
00:31:49,510 --> 00:31:54,750
Zero ููŠ Sigma ุชุฑุจูŠุฉ ูŠุนู†ูŠ Sigma ุชุฑุจูŠุฉ Sigma ุชุฑุจูŠุฉ
415
00:31:55,310 --> 00:31:58,970
ุฅุฐุง ู‡ุฐุง ุณูŠูƒูˆู† sigma ุชุฑุจูŠุน ู…ุถุฑูˆุจุง ููŠ ู…ูŠู†ุŸ ููŠ theta
416
00:31:58,970 --> 00:32:06,410
ูˆู‡ุฐุง ุณูุฑ ูˆู‡ุฐุง ุฅูŠุด ุงุณู…ู‡ุŸ gamma ุงู„ H ู†ุงุฌุณ ูˆุงุญุฏุŒ ู…ู†
417
00:32:06,410 --> 00:32:10,410
ู‡ูŠ ุงู„ H ู‚ู„ุชูˆุงุŸ ูŠุนู†ูŠ gamma ุงู„ ูˆุงุญุฏ ู†ุงุฌุณ ูˆุงุญุฏุŒ gamma
418
00:32:10,410 --> 00:32:14,810
ุงู„ zero ู…ุถุฑูˆุจุง ููŠ ุงู„ fileุŒ ุฃูŠู‡ุŸ ุฅุฐุง ุนู†ุฏู…ุง ุงู„ H
419
00:32:14,810 --> 00:32:21,290
ุจูˆุงุญุฏุŒ ูˆุงุถุญ ู‡ุงูŠุŸ ุฃูƒูŠุฏุŸ ุทุจ ุนู†ุฏู…ุง ุงู„ H ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏุŒ
420
00:32:21,290 --> 00:32:27,280
ูŠุนู†ูŠ ุฃูƒุจุฑ ู…ู† ุฃูˆุณุน ูˆ ุงุชู†ูŠู†ู‡ุฐุง ุฅูŠุด ุงู„ุฃุฎุฑุงู†ูŠุฉุŸ Zero ูˆ
421
00:32:27,280 --> 00:32:31,800
ุงู„ุชุงู†ูŠุฉ ุจุฑุถู‡ ZeroุŒ ุฅูŠุด ุจูŠุตู ููŠู‡ุงุŸ ุจุณ ุงู„ุฃูˆู„ู‰ุŒ ู…ู‡ูŠ
422
00:32:31,800 --> 00:32:38,460
ู…ูŠู‡ุŸ Five, ุฅุชุด ู†ุงู‚ุต ูˆุงุญุฏ ูˆ ุทุจุนุง ุจู†ุนูˆุถ ู„ู…ุง ู†ู‚ุด
423
00:32:38,460 --> 00:32:42,520
ุจุงุชู†ูŠู†ุŒ ู…ุธุจูˆุท ู‡ูŠูƒุŸ ุฅุฐุง ุฅู†ุชูˆุง ุงู„ุขู† ุดูˆ ูˆุตู„ุชูˆุงุŸ
424
00:32:42,520 --> 00:32:46,700
ูˆุตู„ุชูˆุง ุฅู†ู‡ ู„ู…ุง ุฅุญู†ุง ุฌุจู†ุง ู†ุฑุฌุน ู„ู„ูŠ ุจุฏุฃู†ุง ููŠ ู…ุญุงุถุฑุฉ
425
00:32:47,250 --> 00:32:52,270
ู„ู…ุง ุฌูŠุจู†ุง ุงู„ R ู…ูˆ 1 ูˆ 1 ุงู„ู„ูŠ ู‡ูŠูƒ ุดูƒู„ู‡ ุฌูŠุจู†ุง ู„ู‡ ุงู„
426
00:32:52,270 --> 00:32:56,590
auto covariance ุชุจุนู‡ ูุงู„ auto covariance ุชุจุนู‡ ุตูุฉ
427
00:32:56,590 --> 00:33:02,470
ุจุงู„ุงุฎูŠุฑ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ูŠุง ุฅู…ุง ู‡ุฐู‡ ูŠุง ุฅู…ุง ู‡ุฐู‡ ูŠุง ุฅู…ุง
428
00:33:02,470 --> 00:33:07,570
ู…ูŠู† ู‡ุฐู‡ ุชู„ุช ูˆุงุญุฏุงุช ู…ุชู‰ ุงู„ุฃูˆู„ู‰ ุจุชูƒูˆู† ุนู†ุฏูƒ zero ู…ุชู‰
429
00:33:07,570 --> 00:33:12,720
ุงู„ุชุงู†ูŠุฉ ุจุชูƒูˆู† ุนู†ุฏูƒ ูˆุงุญุฏ ูˆ ู…ุชู‰ ุงู„ุฃุฎูŠุฑุฉ ูˆ ู‡ูŠ ุงู„ุฃู‡ู…ู…ู†
430
00:33:12,720 --> 00:33:16,500
ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ู…ูŠุฉ ุชู†ูŠู†ุŒ ู‡ู„ุง ุฑูƒุฒูˆุง ู…ุนุงูŠุง ุงู„ู„ู‡
431
00:33:16,500 --> 00:33:20,820
ูŠุณุนุฏูƒู…ุŒ ู„ูˆ ุงุทู„ุนุชูˆุง ู‡ุฐู‡ ุฃุตู„ุง ุฃุตู„ุง ุจุชู„ุงู‚ูˆู‡ุง
432
00:33:20,820 --> 00:33:23,820
iterativeุŒ ุดูˆ ูŠุนู†ูŠ iterativeุŸ ุฒูŠ ูƒู„ู…ุฉ recursiveุŒ
433
00:33:23,820 --> 00:33:27,680
ุดูŠุก ุจูŠู‚ุฏู‘ูŠ ู„ุดูŠุก ุขุฎุฑุŒ ุตุญุŸ ูู„ูˆ ุฃู†ุชูˆุง ุงุทู„ุนุชูˆุง ู‡ุฐู‡
434
00:33:27,680 --> 00:33:31,740
Gamma ุงู„ HุŒ Gamma ุงู„ H ู„ู‡ุง ุนู„ุงู‚ุฉ ููŠ ุงู„ุฃุฎูŠุฑ ุฃู†ุง
435
00:33:31,740 --> 00:33:35,950
ุจุญูƒูŠู‡Gamma ุงู„ู€ H ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ Gamma 100 H ู†ุงุฌุณ
436
00:33:35,950 --> 00:33:39,450
ูˆุงุญุฏ ูŠุนู†ูŠ ุฃู†ุง ุนุดุงู† ุฃุฌูŠุจ Gamma ู„ู„ู€ H ุงู„ covariance
437
00:33:39,450 --> 00:33:43,650
ุนู†ุฏ ุงู„ lag ู‡ูˆ H ูŠุนู†ูŠ ุนู†ุฏ ุงู„ lag ุฎู…ุณุฉ ู„ุงุฒู… ุฃุนุฑู ู…ูŠู†
438
00:33:43,650 --> 00:33:47,390
ุงู„ Gamma ุนู†ุฏ ุงู„ lag ุฃุฑุจุนุฉ ูŠุนู†ูŠ ุงู„ covariance ุนู†ุฏ
439
00:33:47,390 --> 00:33:50,150
ุงู„ lag ุฃุฑุจุนุฉ ูŠุนู†ูŠ ุงู„ iterative ุงู„ iterative ุดูŠุก
440
00:33:50,150 --> 00:33:55,770
ุจูŠู‚ุฏุฑ ุงู„ุดูŠุก ุฃุฎุฑ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃ ูˆุงุถุญุฉ ูŠุจู‚ู‰ ุฃู†ุง ู„ุงุฒู…
441
00:33:55,770 --> 00:33:59,050
ู‡ู†ุง ุฃูู‡ู… ุฃู† ู‡ุฐู‡ ุงู„ุฃุฎุฑุงู†ูŠุฉ iterative ุทุจ ุญุชู‰ ู†ุดูˆู
442
00:33:59,050 --> 00:34:02,880
ุงู„ุญุงู„ุฉ ุชุจุนูŠุชู‡ุง ุงู„ุญุงู„ุฉ ุงู„ุนุงู…ู„ุฉ ุฅูŠู‡ุงูˆู†ุดูˆู ูƒูŠู ุงุญู†ุง
443
00:34:02,880 --> 00:34:07,180
ู…ู…ูƒู† ู†ุฌูŠุจู‡ู… ู…ู† ุงู„ initial points ุงูˆ ุงู„ initial
444
00:34:07,180 --> 00:34:11,160
conditions ุงู„ู„ูŠ ุนู†ุฏ ุงู„ lag 0 ูˆุนู†ุฏ ุงู„ lag 1 ูŠุนู†ูŠ
445
00:34:11,160 --> 00:34:14,500
ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃูˆู„ู‰ ูˆุงู„ุชุงู†ูŠุฉ ู„ูˆ ุญู„ู†ุงู‡ู… ู…ุน ุจุนุถ ูŠุง ุจู†ุงุช
446
00:34:14,500 --> 00:34:17,460
ู„ุฃู† ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃูˆู„ู‰ ูˆุงู„ู…ุนุงุฏู„ุฉ
447
00:34:17,460 --> 00:34:20,500
ุงู„ุชุงู†ูŠุฉ ุงู†ู‡ู… ุนู„ุงู‚ุฉ ุจุฎุงู…ุฉ gamma 0 ูˆ gamma 100
448
00:34:20,500 --> 00:34:26,860
ุงู„ูˆุงุญุฏ ูุจู†ุญู„ู‡ู… ุตุญ ูุจู†ุนุฑูู‡ู… ู…ุงููŠู‡ู… ู…ุตุจูˆุท ูˆู„ุง ู„ุฃ ูˆ
449
00:34:26,860 --> 00:34:30,660
ุจู†ุฌูŠุจ ุจู†ุงุก ุนู„ูŠู‡ู… 100 ุงู„ุญุงู„ุฉ ุงู„ุฃุฎูŠุฑุฉ ุงู„ุนุงู…ุฉ ุงู„
450
00:34:30,660 --> 00:34:35,430
iterativeุจุณ ู‚ุจู„ ู…ุง ุงุฌูŠุจ ู‡ุฐุง ุงู„ูƒู„ุงู… ุดูˆ ุฑุฃูŠูƒูˆุง ูŠุงู„ุง
451
00:34:35,430 --> 00:34:38,490
ู†ุจู„ุด ููŠ ุงู„ุชุงู„ุชุฉุŒ ุงู„ุญุงู„ุฉ ุงู„ุชุงู„ุชุฉุŒ ูŠุนู†ูŠ Gamma ุงู„ู€H
452
00:34:38,490 --> 00:34:44,550
ุดูˆ ุจุชุณุงูˆูŠุŸ Fi ู„ุฅูŠุด ู†ุงู‚ุต ูˆุงุญุฏุŸ ูŠุนู†ูŠ ุฃู†ุง ู‡ู†ุงุŒ ูู„ุฐู„ูƒ
453
00:34:44,550 --> 00:34:47,490
ุงูˆุถูŠู„ูŠ ุจุงู„ู„ู‡ ุงู„ู€H ุจุชู†ูŠู† ู…ุซู„ุงุŒ ูGamma ุงู„ุชู†ูŠู† ุดูˆ
454
00:34:47,490 --> 00:34:53,010
ุจุชุณุงูˆูŠุŸ Fi Gamma ุงู„ูˆุงุญุฏุŒ ุงู„ู„ูŠ ู‡ูŠ ูŠุนู†ูŠ ุทูŠุจ ุดูˆ ุฑุฃูŠูƒ
455
00:34:53,010 --> 00:34:57,510
ุจGamma ุงู„ุชู„ุงุชุฉุŸ ู‡ุชูƒูˆู† Fi ููŠ Gamma ุงู„ุชู†ูŠู†ุŒ ุทุจ ุงู„ู„ู‡
456
00:34:57,510 --> 00:35:01,140
ู…ูŠู† Gamma ุงู„ุชู†ูŠู†ุŸุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ููŠ ููŠ ุฌุงู…ุนู‡
457
00:35:01,140 --> 00:35:05,480
ุงู„ูˆุงุญุฏ ูุฃุตุจุญ ู‡ุฐู‡ ููŠ ูˆ ูƒู…ุงู† ู…ุฑุฉ ููŠ ููŠ ุชุฑู…ูŠู‡ ุฌุงู…ุนู‡
458
00:35:05,480 --> 00:35:11,500
ุทุจ ู…ูŠู† ุชู‚ูˆู„ูŠ ุฌุงู…ุนู‡ ุงู„ุฃุฑุจุนุฉุŸ ุจุฑุงููˆ ู‡ูŠ ููŠ ุฌุงู…ุน
459
00:35:11,500 --> 00:35:18,260
ุงู„ุชู„ุงุชุฉ ูˆุงู„ุชูŠ ุณุชูƒูˆู† ููŠ ุชูƒุนูŠุจ ููŠ ุฌุงู…ุน ุงู„ูˆุงุญุฏ ุตุญุŸ
460
00:35:18,260 --> 00:35:21,820
keep going ู…ูŠู† ุจุดูƒู„ ุนุงู… ุงู„ุขู† ุงู„ุญุงู„ุฉ ุงู„ุนุงู…ุฉ ุทู„ุนุชุŸ
461
00:35:22,940 --> 00:35:29,080
Gamma H ุจุงู„ุณุงูˆูŠุฉ ูู‰ H ู†ุงู‚ุต ูˆุงุญุฏ ูู‰ Gamma ุงู„ูˆุงุญุฏ
462
00:35:29,080 --> 00:35:32,240
ุตุญูŠุญ ูŠุง ุฅุจู†ู‡ุงุŸ ูŠุจู‚ู‰ ุฃู†ุง ููŠู‡ ุฃุฑูุน ู‡ุฐู‡ ุงู„ุฃุฎุฑุงู†ูŠุฉ
463
00:35:32,240 --> 00:35:38,910
ุฅู†ู‡ุง Gamma H ุจุงู„ุณุงูˆูŠุฉ ู‡ุฐู‡ูˆุญุท ุจุฏู„ู‡ุง ู…ูŠู†ุŸ ูุงูŠ H ู†ุงุฌุณ
464
00:35:38,910 --> 00:35:43,210
ูˆุงุญุฏ ุฌุงู…ุน ุงู„ูˆุงุญุฏ ู†ุญูŠุง ู‡ู„ุฃ ู†ุจู„ุด ู‡ุฐุง ุงู„ู„ูŠ ุฃู†ุง ุนุงู…ู„ู‡
465
00:35:43,210 --> 00:35:46,950
ุจุงู„ุงุฒุฑุงุฌ ุงุญุทูˆู„ูŠู‡ ุงู† ู‡ูˆ ุนู…ู„ูŠุง ุงู„ุงู† ุทู„ุน ู…ู† ุงู„ auto
466
00:35:46,950 --> 00:35:52,610
covariance ู„ู…ูŠู†ุŸ ู„ู„ุงุฑู…ู‰ ูˆุงุญุฏ ูˆูˆุงุญุฏ ูˆู…ุง ุฒู„ุช ุงู†ุง
467
00:35:52,610 --> 00:35:56,010
ู„ุงุฒู… ุจุฏู‰ ุงุนุฑู ู…ู† ู‡ูŠ ุฌุงู…ุน ุงู„ูˆุงุญุฏ ุนุดุงู† ุงุฌูŠุจ ุงู„ุฌุงู…ุนุฉ
468
00:35:57,160 --> 00:36:01,600
ูู‚ู„ุช ู„ูƒ ูƒูŠู ุฃุนุฑู Gamma ุงู„ูˆุงุญุฏ ู…ู† ุฎู„ุงู„ ู…ู†ุŸ ุงู„ู„ูŠ ู‡ูˆ
469
00:36:01,600 --> 00:36:06,200
ุงู„ุฃูˆู„ู‰ ูˆุงู„ุชุงู†ูŠุฉ ู‡ุฏูˆู„ู‡ ุนู†ุฏ ุงู„ H ุจุชุณุงูˆูŠ Zero ูˆุนู†ุฏ ุงู„
470
00:36:06,200 --> 00:36:10,600
H ุจุชุณุงูˆูŠ ูˆุงุญุฏ ู…ูู‡ูˆู… ุดูˆ ุจุญูƒูŠู‡ุŸ ูู†ุจู„ุด ูŠุง ุจู†ุงุช ูŠู„ุง ุดูˆ
471
00:36:10,600 --> 00:36:14,280
ุฑุฃูŠูƒูˆุง ุชุญุทูˆู„ูŠ ุงู„ H ุจุตูุฑุŸ ู‡ุฐูŠ ุงูŠุด ุงุณู…ู‡ุง ูƒู…ุงู† ู…ุฑุฉุŸ
472
00:36:14,280 --> 00:36:18,400
ู‡ุงูŠ ุงู„ mouse ุดุงูŠููŠู†ู‡ุŸ ุดูˆ ุงุณู…ู‡ุงุŸ Gamma ุงู„ุตูุฑ ุดูˆ
473
00:36:18,400 --> 00:36:22,140
Gamma ุงู„ุตูุฑ ุจุชุงุน ุงู„ุณุงูˆูŠุŸ ูุงูŠ .. ุงู‡ ู‡ูŠ covariance
474
00:36:22,140 --> 00:36:27,060
ุนู†ุฏ ุงู„ Zero ู‡ูŠ ุงู„ variance ู‡ูŠ ุงู„ varianceููŠุง ุงู„ู„ู‡
475
00:36:27,060 --> 00:36:31,740
ูƒู…ุงู† ู…ุฑุจุน ุงู„ู„ู‡ ู‡ุฐูŠ gamma ุฒูŠ ุงู„ุณูุฑ ุดูˆ ุจุชุณูˆูŠ ู„ุงู† ููŠ
476
00:36:31,740 --> 00:36:36,580
gamma ุงู„ูˆุงุญุฏ ุฒูŠ ุงู„ sigma square ู…ุถุฑูˆุจุง ููŠ ู…ูŠู† ูˆุงุญุฏ
477
00:36:36,580 --> 00:36:41,600
ุฒูŠ ุงู„ ููŠ ุถุฑุจ ุซูŠุชุง ุฒูŠ ุงู„ ุซูŠุชุง ุชุฑุจูŠู‡ ู‡ุฐุง ุดูˆ ุฑุฃูŠูƒ ุงุญุท
478
00:36:41,600 --> 00:36:47,030
ุงู„ H ุจูˆุงุญุฏู…ุด ูˆุงุญุฏ ุณูŠู‡ุŸ Gamma ุงู„ูˆุงุญุฏุŒ ุดูˆ ุจุชุณูˆูŠ
479
00:36:47,030 --> 00:36:51,730
ุงู„ุฃู†ุนุงุชุŸ ุงู„ุฃูˆู„ู‰ ูˆู„ุง ุงู„ุชุงู†ูŠุฉุŸ ุงู„ุชุงู†ูŠุฉ ุทุจุนุงุŒ ุงู„ู„ูŠ ู‡ูŠ
480
00:36:51,730 --> 00:36:57,130
ู…ูŠู†ุŸ Phi Gamma Zero ุฒูŠ Sigma Square ThetaุŒ ู…ุธุจูˆุท
481
00:36:57,130 --> 00:37:01,030
ูŠุง ุจู†ุงุชุŸ ูƒู…ุงู† ู…ุฑุฉุŒ ู‡ุฏูˆู„ ุงู„ู…ุนุงุฌู„ุฉ ุชุงู†ูŠุฉุŒ ุจุณ ู…ุด ุนุงุฑู
482
00:37:01,030 --> 00:37:07,750
ุดูƒู„ู‡ุŒ ุฃู‡ ู‡ูŠูƒ ุงู„ุขู† ุจุถุญูƒุชู‡ุŒ ู‡ูŠูƒ ูˆุถุญูƒุชู‡ู‡ุฏูˆู„ ูƒู…ุงู† ู…ุฑุฉ
483
00:37:07,750 --> 00:37:11,210
ุงุชู†ุชูŠู† ุงุนู…ู„ู‡ู… I ู†ู‡ูŠู„ู‡ู… ุจุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ู‡ุฏูˆู„ ุงู„ู„ูŠ
484
00:37:11,210 --> 00:37:15,870
ู‡ุชู‚ุฏุฑ ุชุญู„ูˆู‡ู… ู…ุน ุจุนุถ ู‡ุชู†ุญู„ู‡ู… ู…ุน ุจุนุถ ุดูˆ ุฑุฃูŠูƒู…ุŸ ูŠู„ุง
485
00:37:15,870 --> 00:37:19,470
Gamma Zero ุจุชุณุงูˆูŠ Phi ูŠู„ุง Gamma ุงู„ูˆุงุญุฏ ุฑูุนูŠู‡ุง
486
00:37:19,470 --> 00:37:25,910
ุงุนูˆุถูŠ ุนู†ู‡ุง ุจู…ูŠู†ุŸ ู…ุน ุชู„ุงุชูŠู† ุงู„ู…ุฌู‡ูˆู„ูŠู† ูุจุฑูุน Gamma
487
00:37:25,910 --> 00:37:33,170
ุงู„ูˆุงุญุฏ ุดูˆ ุงู„ู„ูŠ ุจุญุท ู‚ุทู„ู‡ุงุŸ Phi Gamma Zero ุฒูŠ Sigma
488
00:37:33,170 --> 00:37:38,870
Square ููŠ Theta ู…ุนูŠู‡ุงุŸุฒุงุฏ ู…ูŠู†ุŸ ู‡ุฐุง ุงู„ูƒู„ุงู… ู„ู…ุง
489
00:37:38,870 --> 00:37:41,770
ุงู†ุชูˆุง ุฑูุนุชูˆุง ุฌุงู…ุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุญุทูŠุชูˆุง ุจุฏุงู„ู‡ุง ุงู„ุญุฏ ู‡ุฐุง
490
00:37:41,770 --> 00:37:45,290
ุงู„ุฃุฎุฑุงู† ูƒู„ู‡ ูุตุงุฑ ุนู†ุฏูƒู… ุฌุงู…ุนุฉ ุงู„ุฒูŠุฑูˆ ูˆ ููŠ ุฌุงู…ุนุฉ
491
00:37:45,290 --> 00:37:49,890
ุงู„ุฒูŠุฑูˆ ุนุงู…ู„ ู…ุดุชุฑูƒ ู…ุตุจูˆุทุŸ ูˆ ููŠ ุทุจุนุง ู‡ู†ุง ู…ูŠู†ุŸ ููŠุง
492
00:37:49,890 --> 00:37:55,030
ุชู„ุจูŠุนุŒ ู…ุตุจูˆุท ูˆู„ุง ู„ุตุงุญุŸ ุดุงูŠููŠู† ู‡ูˆุŸ ุฅุฐุง ู‡ุฐุง ุจุณ ู…ุฌุฑุฏ
493
00:37:55,030 --> 00:37:59,810
ูŠุนู†ูŠ elementary ุงู„ู„ูŠ ู‡ูˆ ุชุนูˆุถุงุช ู…ุนุงุฏู„ุชูŠู† ุจู…ุฌู‡ูˆู„ูŠู†
494
00:37:59,810 --> 00:38:04,500
ุจุชุญู„ ุจุงู„ู…ุฌู‡ูˆู„ูŠู†ุŒ ู…ูŠู† ู‡ู… ุงู„ู…ุฌู‡ูˆู„ูŠู† ู‡ู†ุงุŸGamma ุงู„ู€
495
00:38:04,500 --> 00:38:09,240
Zero ูˆ Gamma ุงู„ูˆุงุญุฏ ุชุญู„ู„ู‡ู… ุจุชุนูˆุถ ุจุตูุฉ ุจู†ุงุชุดูˆ ู…ุนุงูŠุง
496
00:38:09,240 --> 00:38:13,960
ุจุตูุฉ ุญูุฑ ุจุตูุฉ Gamma ุงู„ Zero ุจุชุณุงูˆูŠ Sigma Square
497
00:38:13,960 --> 00:38:19,640
ู…ุถุฑูˆุจุฉ ููŠ ู…ูŠู† ูˆุงุญุฏ ุฒุงุฆุฏ ุชู†ูŠู† ูุงูŠ ุซูŠุชุง ุฒุงุฆุฏ ุซูŠุชุง
498
00:38:19,640 --> 00:38:24,440
ุชุฑุจูŠุน ุนู„ู‰ ูˆุงุญุฏ ู†ุงุฌุณ ุงู„ู…ู‚ุงู… ุนู„ู‰ ููƒุฑุฉ ู…ู† ุฃูŠู† ุฌุงุก ู…ู†
499
00:38:24,440 --> 00:38:27,820
ุงู„ู„ูŠ ุญูƒูŠุชู‡ ุฒู…ูŠู„ุชูƒูˆุง ู‡ุชูˆู‰ ู„ู…ุง ู†ุฎุฏู†ุง ุนู† ุงู„ู…ุดุชุฑูƒ ูˆ
500
00:38:27,820 --> 00:38:34,750
ุงู„ุงุฎุฑ ูˆ Gamma ุงู„ูˆุงุญุฏ ุทู„ุน ู…ู† ู‡ุงุฏูŠ ุฃูŠุถุงู†ูุณ ุงู„ bus ุจุณ
501
00:38:34,750 --> 00:38:38,450
ุจูŠุฎุชู„ู ู„ุฃ ู…ุด ู†ูุณ ุงู„ bus ุนู‚ุจุงู„ ู†ูุณ ุงู„ู…ู‚ุงุฑู†ุฉ ูˆู„ูƒู† ุงู„
502
00:38:38,450 --> 00:38:42,150
bus ุจูŠุฎุชู„ู ู…ุงุดูŠ ู ุฌุงู…ุนุฉ ุงู„ ูˆุงุญุฏ ุจูŠุณุงูˆูŠ sigma
503
00:38:42,150 --> 00:38:46,330
square ู…ุถุฑูˆุจุง ููŠ ู…ูŠู† ูˆุงุญุฏ ุฒุงุฆุฏ ูุงูŠ ุซูŠุชุง ู…ุถุฑูˆุจุง ููŠ
504
00:38:46,330 --> 00:38:52,190
ูุงูŠ ุฒุงุฆุฏ ุซูŠุชุง ุนู„ู‰ ูˆุงุญุฏ ู†ุงุฌุณ ูุงูŠ square ุนู„ู…ุŸ ู‡ู„ุฃ ู„ุฃ
505
00:38:52,190 --> 00:38:55,630
ุฑูƒุฒูˆุง ู…ุนุงูŠุง ู‡ู„ุฌูŠุช ุจุตูŠุฑุช ุจุนุฑู ุฃู†ุง ุฌุงู…ุนุฉ ุฒูŠุฑูˆ ูˆ ุจุนุฑู
506
00:38:55,630 --> 00:38:59,750
ุฌุงู…ุนุฉ ุงู„ูˆุงุญุฏ ุฌุงู…ุนุฉ ุงู„ูˆุงุญุฏ ู‡ุงุฏูŠ ุจุฏูŠู‡ุง ุงู†ุง ู„ู…ูŠู†ุŸ
507
00:39:00,390 --> 00:39:06,590
ู„ู„ุญุงู„ุฉ ุงู„ุนุงู…ุฉ Gamma ู„ H ู…ุงู„ุณุงูˆูŠุŸ five to the power
508
00:39:06,590 --> 00:39:10,630
of H minus one ู…ุถุฑูˆู 100 Gamma ูŠุจู‚ู‰ ูŠุง ุจู†ุงุช ู„ูˆ ุฃู†ุง
509
00:39:10,630 --> 00:39:15,800
ุฑูุนุชู‡ุง ุฏูŠ ู‚ูŠู…ุฉ ุชุจุนุชู‡ุงู…ุธุจูˆุทุŸ ูˆุถุฑุจุชู‡ุง ููŠ ู‡ุงูŠ ูŠุนุทูŠู†ูŠ
510
00:39:15,800 --> 00:39:20,200
ู…ูŠู† ุงู„ุขู† ุฌูˆุงู…ู„ ุงูŠู‡ุŸ ูŠุจู‚ู‰ ุงู„ุตูŠุบุฉ ุงู„ุนุงู…ุฉ this gives
511
00:39:20,200 --> 00:39:24,720
us .. ุงู‡ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ุŸ ุฌูˆุงู…ู„ ุงูŠุด ุจุงู„ุณุงูˆูŠุฉุŸ ู‡ุฐุง
512
00:39:24,720 --> 00:39:29,980
ุงู„ู…ู‚ุฏุงุฑ ุงู„ู„ูŠ ู‡ุงู† ูƒู„ูŠุงุชู‡ ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸ ุฌูˆุงู…ู„ ูˆุงุญุฏ
513
00:39:29,980 --> 00:39:33,600
ู…ุถุฑูˆุจุง ููŠ ู…ูŠู†ุŸ ูุงูŠุชู‡ ุทุจุนุง .. ูŠุจู‚ู‰ ู‡ุฏุง ู‡ูŠ ุงู„ุญุงู„ุฉ
514
00:39:33,600 --> 00:39:38,000
ุงู„ุนุงู…ุฉ ุงู„ู„ูŠ ุงุญู†ุง ุนู…ู„ูŠุง ู‡ุฐู‡ ุจุชุซุจุช ุนู†ุฏ ู…ูŠู† ููƒุฑูƒูˆุงุŸ
515
00:39:38,000 --> 00:39:41,200
ุนู†ุฏ ุงู„ุชู†ูŠู† ูˆ ุงุทู„ุนุŸ ู…ุด ุนู†ุฏ ุงู„ุชู†ูŠู† ูˆ ุงุทู„ุน ุงุตู„ุง ูƒู…ุงู†
516
00:39:41,200 --> 00:39:45,810
ูˆ ุนู†ุฏ ุงู„ูˆุงุญุฏ ูˆ ุงุทู„ุนู„ุฃู† ุนู†ุฏ ุงู„ูˆุงุญุฏ ู‡ุง ุฏูŠ ุงุตู„ุง
517
00:39:45,810 --> 00:39:52,650
ูุจุชุทู„ุน five zero ูุจุชุตู ู…ูŠู† ุงู„ุญุงู„ุฉ ู‡ุงูŠ ู‚ุณู…ุฉ
518
00:39:52,650 --> 00:39:55,170
ูŠุง ุจู†ุงุช ุงู„ auto covariance ุนู„ู‰ ุงู„ variance ุดูˆ
519
00:39:55,170 --> 00:39:59,350
ุจูŠุนุทูŠูƒูˆุง ุงู„ auto covariance ูˆู„ุฐู„ูƒ ุงู„ ุฑูˆุน ุนู†ุฏ ุงู„
520
00:39:59,350 --> 00:40:04,250
lag h ู‡ูŠ ุงู†ูƒ ุชู‚ุณู…ู‡ gamma ุงู„ h ุนู„ู‰ gamma ุงู„ zero
521
00:40:04,250 --> 00:40:08,070
ูู„ูˆ ู‚ุณู…ู†ุง ู‡ุฐุง ุงู„ูƒู„ุงู… ุนู„ู‰ gamma ุงู„ zero ู…ู† ู‡ูŠ gamma
522
00:40:08,070 --> 00:40:08,990
ุงู„ zero ู‡ูŠ ู‡ุง
523
00:40:18,580 --> 00:40:23,840
ุนู„ู‰ ู‡ุฐุง ุจุชุนุฑููˆุง ู‚ุณู…ุฉ ุงู„ู…ู‚ุงู… ูˆุดุฌู„ุจุชู‡ ุจุตู ุงู„ุญุงู„ุฉ
524
00:40:23,840 --> 00:40:27,400
ุงู„ุนุงู…ุฉ ู‡ุงูŠ ุงู„ู„ูŠ ุฑุงูƒุฒูˆุง ู…ุนุงูŠุง ู‡ุฐูŠ ุงู„ุขู† ุงู„ means
525
00:40:27,400 --> 00:40:34,020
ุฒุจุทุงุช ู„ู„ auto regressive moving average of order
526
00:40:34,020 --> 00:40:41,140
11 ูŠุนู†ูŠ ุงุฑู…ู‰ 11 ุตุญุŸูุงู„ููƒุฑุฉ ูƒุงู…ู†ุฉ ู„ูˆ ุญุทูŠุช ุงู„ูุงูŠ ุจ
527
00:40:41,140 --> 00:40:46,040
zero ุงู†ุง ุจุญูƒูŠ ุนู† ู…ูŠู† ุงู„ answer ูŠุนู†ูŠ moving average
528
00:40:46,040 --> 00:40:52,420
ูˆุงุญุฏ ู…ุตุจูˆุญุŸ ูˆ ู„ูˆ ุญุทูŠุช ุงู„ theta ุจ zero ุจุญูƒูŠ ุนู†
529
00:40:52,420 --> 00:40:57,560
autoregressive ูˆุงุญุฏ ุตุญุŸ ู‡ู„ุฃ ู„ูˆ ุฑุฌุนู†ุง ุณุงุจู‚ ุนู„ู‰
530
00:40:57,560 --> 00:41:02,460
autoregressive of order ูˆุงุญุฏุฅูŠุด ุงู„ุตูŠุบุฉ ุชุจุนุช ุงู„ ACF
531
00:41:02,460 --> 00:41:08,040
ุชุจุนุชู‡ ุณุชุฌุฏูˆู‡ุง ู‡ูŠ ุงู„ุตูŠุบุฉ ุฅู†ูƒ ุชุถุน ุงู„ moving ุงู„ Q ..
532
00:41:08,040 --> 00:41:11,840
ุนููˆุง .. ุงู„ theta .. ุงู„ theta .. ุงู„ theta .. ุงู„
533
00:41:11,840 --> 00:41:15,820
theta ูˆุงุญุฏ ุงูŠู‡ ุงูŠู‡ุŸ ุตูุฑ .. ุฒูŠู‡ .. ูู‡ุชู†ุญุทู‡ุง ุฏู„ูˆู‚ุช
534
00:41:15,820 --> 00:41:20,760
.. ุดูˆู ุงู„ุตู ูŠุนู†ูŠ ุทุจุนุง ุนู†ุฏ ุงู„ lag ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ุŸ ุนู†ุฏ
535
00:41:20,760 --> 00:41:24,080
ุงู„ lag ุงู„ู„ูŠ ู‡ูŠ .. ุงู„ู„ูŠ ู‡ูˆ ู…ุตุทู„ุญ ุงู„ุณูŠุฏ ู…ุญู…ุฏ ..
536
00:41:24,080 --> 00:41:30,000
ุงุญูƒูˆุง .. ุนู†ุฏ ุงู„ lag GHู‡ุฐุง ุจุฑูˆุญ zero ู‡ุฐุง ุจุฒูŠุฑ zero
537
00:41:30,000 --> 00:41:36,360
ุดูˆ ุจุตู ูุงุณุŸ ูุงูŠ ูุงูŠ ู…ุถุฑูˆุจุง ู…ู† ู…ูŠู†ุŸ ูŠุนู†ูŠ ุจุตู ูุงูŠ to
538
00:41:36,360 --> 00:41:41,240
double H ุนู„ู‰ ูˆุงุญุฏ ู…ุงุฌุณ ู‡ุฐุง zero ูˆ ู‡ุฐุง zero ุตู ุตู
539
00:41:41,240 --> 00:41:48,660
ูุงูŠ ูุงูŠ ุฃุณ ุงุชุด ุตุญุŸ ู‡ุฏู‡ูˆ ุจูˆูŠ ุฃู†ุง ุนุงุฏ ุนู…ู„ุชู‡ ุฃู†ุง ุฌุฑูŠุจ
540
00:41:48,660 --> 00:41:51,100
ุฌุฏูŠู… ู„ุฅู†ูŠ ุนุงุฑู ุฃูŠู† ุนู…ู„ุชู‡ ู‡ูŠูˆ
541
00:41:54,660 --> 00:41:57,640
ูŠูˆู… ู…ุง ุญูƒูŠุช ุนู† ุงู„ auto-correlation ู„ู„ auto
542
00:41:57,640 --> 00:42:00,600
-regressive ู…ุงูƒู†ุชุด ูŠูˆู… ู…ุง ู‡ูŠุฎุทู„ุน ู…ุนุงูŠุง ูŠูˆู…ู‡ุง ููŠ
543
00:42:00,600 --> 00:42:03,460
ุญูŠุงุชู‡ ุงู„ุฏุจุงุฑุฌ ูŠุจู‚ู‰ ุงู„ุญุงู„ุฉ ุงู„ุนุงู…ุฉ ู‡ูŠ ุงู„ู„ูŠ ุนู…ู„ู†ุงู‡ุง
544
00:42:03,460 --> 00:42:06,520
ุชุจุนุช ุงู„ auto-regressive ููŠ order ูˆุงุญุฏ ุฌูŠุจู†ุงู‡ุง ู…ู†
545
00:42:06,520 --> 00:42:10,240
ุงุฑู…ู‰ ูˆุงุญุฏ ูˆุงุญุฏ ุทุจุนุง ุจู†ูุณ ุงู„ู…ู†ุทู‚ ู†ุณุชุทูŠุน ู†ุฌูŠุจ moving
546
00:42:10,240 --> 00:42:14,780
average ุทุจ ุณูŠุจูˆู†ุง ู…ู† ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ุจุณูŠุท ุนู„ู‰
547
00:42:14,780 --> 00:42:18,480
ูˆู‡ูˆ ุงุฑู…ู‰ ูˆุงุญุฏ ูˆุงุญุฏ ุดูˆ ุฑุฃูŠูƒูˆุง ู†ุญูƒูŠ ุนู† ุงุฑู…ู‰ ุงู„ุขู† ู…ูŠู†
548
00:42:18,480 --> 00:42:23,140
ุจูŠูˆูƒูŠูˆ ุจูŠูˆูƒูŠูˆ ุงู„ุญุงู„ุฉ ุงู„ุฃุนุงู… ูˆ ุฃุนุงู… ุทุจุนุง ู‚ุจู„ ู…ุง
549
00:42:23,140 --> 00:42:28,190
ุงุญูƒูŠ ุนู†ู‡ุงุจุฏูŠ ุงู‚ูˆู„ูƒูˆุง ุดุบู„ุฉ ูˆุงุญุฏุฉ ุงู†ู‡ ุงุฐุง ูŠุง ุจู†ุงุช
550
00:42:28,190 --> 00:42:31,310
ุงู†ุชูˆุง ุนู…ู„ุชูˆุง ุงู„ simulation ุงูˆ ู…ุด ุนู…ู„ุชูˆุง ุงู„
551
00:42:31,310 --> 00:42:36,450
simulation ูƒุงู†ุช ุนู†ุฏูƒูˆุง ุจูŠุงู†ุงุช ู„ุฑุณู…ุฉ ุงู„ ACF ูˆ
552
00:42:36,450 --> 00:42:41,580
ุงู„ุฑุณู…ุฉ ุชุจุนุช ุงู„ ACF ูƒุงู†ุช exponential decayุฃูˆ ูƒุงู†ุช
553
00:42:41,580 --> 00:42:46,860
ุงู„ DK ุชุจุนู‡ุง ุนู„ู‰ ุดูƒู„ sign ูˆ .. ุทู„ุนู‡ ู‡ูŠูƒ ูƒุจูŠุฑ ..
554
00:42:46,860 --> 00:42:49,380
ุจุนุฏูŠู† ู†ุฒู„ .. ุจุนุฏูŠู† ุจู†ุฒู„ .. ุจู†ุฒู„ .. ุฌุงุนุฏ ุจู†ุฒู„ ..
555
00:42:49,380 --> 00:42:52,280
ุจู†ุฒู„ .. ุจุชู†ู‚ุต ุจุณ ุน ุดูƒู„ sign .. ุจุดูƒู„ ู‡ุฐุง ูˆ ุฃู†ุง ุนู…ุฏุง
556
00:42:52,280 --> 00:42:56,780
ุนู…ุฏุง ุนู…ู„ุชู„ูƒูˆุง ุงู„ lags ูƒุชูŠุฑุฉ ุนุดุงู† ุฃู‚ูˆู„ูƒูˆุง ุดูƒู„ ุฒูŠ
557
00:42:56,780 --> 00:43:03,660
ู‡ุฐุง ุงูˆ exponential DK .. ูƒูŠู exponential DKุŸ ูŠุนู†ูŠ
558
00:43:03,660 --> 00:43:07,960
ู‡ุฐุง ุฌุงูŠ ู‡ูŠูƒ ุจุชู†ู‚ุต ู‡ูŠูƒ .. ูƒูŠูุŸ
559
00:43:11,750 --> 00:43:17,170
ุชู…ุงู… ู‡ู†ุง ุจุฏูˆู† ู…ุง ูŠูƒูˆู† ุงู„ sign ู‡ุฏูˆู„ู‡ ูุฑุณู…ุฉ ุงู„ ACF
560
00:43:17,170 --> 00:43:24,310
ู‡ุฐู‡ ACF ุทุจุนุง ูุฑุณู…ุฉ ุงู„ ACF ู…ุน ุดูƒู„ ุฒูŠ ู‡ุฐุง ู„ู„ ACF ูููŠ
561
00:43:24,310 --> 00:43:28,770
ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจูŠูƒูˆู† ุนู†ุฏ ุงู„ุงู‚ุชุฑุงุญ ุงู…ุง ุงู† ูŠู‚ุชุฑุญ ุนู„ูŠ ุงูˆ
562
00:43:28,770 --> 00:43:34,190
Auto-regressive ุงูˆ ุงุฑู…ู‰ ู…ูู‡ูˆู…ุŸ Auto-regressive ุงูˆ
563
00:43:34,190 --> 00:43:38,270
ุงุฑู…ู‰ ู„ุฃู† ูŠุง ุงุจู†ู‡ุง ุงู„ ACF ู„ู„ moving average ู‚ู„ู†ุง ู‡ูŠ
564
00:43:38,270 --> 00:43:45,210
cut-offู…ุนูŠู†ุชู‡ุŸ ูุฅุฐุง ุงู†ุง ุญู‚ูŠู‚ุฉ ู„ูˆ ูƒุงู† ุดูƒู„ู‡ ุฒูŠ ู‡ูŠ
565
00:43:45,210 --> 00:43:51,210
ู…ุนู†ุงุชู‡ ุงู†ู‡ ุจุฑุฌุญู„ูŠ ุงู…ุง auto-regressive ูŠู‡ุฑู…ูˆู‡ ู‡ู†ุง
566
00:43:51,210 --> 00:43:55,450
ูˆูŠู‡ุฑู…ูˆู‡ ุญู‚ูŠู‚ุฉ ู‡ุฐุง ู…ุซุงู„ simulation ูŠู‡ุฑู…ูˆุง ูˆุงุญุฏ
567
00:43:55,450 --> 00:44:00,010
ูˆูˆุงุญุฏุฑุณู…ุฉ ุงู„ series ุงู„ู„ู‰ ุนู…ู„ู†ุงู‡ุง simulation 200
568
00:44:00,010 --> 00:44:04,450
observations ู‡ูŠู‡ุง ูˆ ุงู„ ACF ุชุจุนูŠุชู‡ุง ู‡ูŠู‡ุง ูˆ ุงู„ูุงูŠ ูˆ
569
00:44:04,450 --> 00:44:08,450
ุงู„ุซูŠุชุง ู‡ู… ุชุณุนุฉ ู…ู† ุนุดุฑุฉ ุงู„ูุงูŠ ูˆ ุงู„ุซูŠุชุง ุฎู…ุณุฉ ู…ู† ุนุดุฑุฉ
570
00:44:08,450 --> 00:44:11,690
ุงู„ูุงูŠ ุงู„ code ู‡ุฐุง ู…ุด ุบุฑูŠุจ ุนู„ูŠูƒู… ุจุชุนู…ู„ูˆุง ุงู„ seed
571
00:44:11,690 --> 00:44:15,890
ู‡ุฐุง ุนุดุงู† ูŠุทู„ุนู„ูƒูˆุง ู†ูุณ ุงู„ุฑุณู…ุงุช ู‡ุฐู‡ ุงู„ู„ู‰ ุฃู…ุงู…ูƒู… ู…ุดู‡ุง
572
00:44:15,890 --> 00:44:22,410
ุดูˆูŠุฉ ูƒู†ุช ุจู„ุด ู†ุญูƒูŠ ุนู† ุงู„ุญุงู„ุฉ ุงู„ุนุงู…ุฉ ุจุณ ู„ู„ุฃุณู ู„ู„ุฃุณู
573
00:44:22,410 --> 00:44:27,640
ุถุงูŠู‚ ุงู„ุนุดุฑุฉ ุฏู‚ุงูŠู‚ ู…ุง ุฃู†ุง ุญุงุจุจ ุฃู‚ุทุน ุญุงู„ูŠู…ุด ู‚ูˆู„ูˆู„ูƒ
574
00:44:27,640 --> 00:44:32,900
ุฃุฌู„ู‡ุง ู„ู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉุŸ ุฅุฐุง ุงุณู…ุนูˆู†ูŠุŒ ุงู„ู„ูŠ ุฃู†ุง ู‚ุงุนุฏ ู‚ุจู„
575
00:44:32,900 --> 00:44:36,820
ููŠ ุงู„ุนุดุฑุฉ ุฏู‚ูŠู‚ุฉ ูˆ ุฎู…ุณ ุฏู‚ุงูŠู‚ุŒ ุจุชุฃุฌู„ ุงู„ุญุฏูŠุซ ุนู† ุงู„ู„ูŠ
576
00:44:36,820 --> 00:44:41,320
ู‡ูˆ ุงู„ ACF ู„ู„ุงุฑู…ู‰ ุจูŠ ูˆ ูƒูŠูˆ ู„ู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠุฉ ูˆ ุทุจุนุง
577
00:44:41,320 --> 00:44:46,760
ุจุงู„ู…ู†ุงุณุจุฉ ุจุณ ุฃุฎู„ุต ุนู†ู‡ุง ู‡ุงุฌูŠ ุฃู„ุง ุฌูŠุดุŒ ุญุงู„ุงุช ุฎุงุตุฉ
578
00:44:46,760 --> 00:44:51,800
ู„ู…ูŠู†ุŸู„ู„ auto-regressive of P ูŠุจู‚ู‰ ุงู„ู„ูŠ ุจุฏุฑุณ ุงู„ R
579
00:44:51,800 --> 00:44:56,500
ู…ุง ุนู…ู„ูŠุง ูƒุฃู†ู‡ ุฏุฑุณ ู…ูŠู† ุงู„ auto-regressive ู„ุญุงู„ู‡ ูˆ
580
00:44:56,500 --> 00:44:59,500
ุงู„ moving average ู„ุญุงู„ู‡ ู…ุงุดูŠ ู‡ุฐุง ุงู„ู…ุญุงุถุฑุฉ ุฏูŠ ุงู†
581
00:44:59,500 --> 00:45:05,580
ุดุงุก ุงู„ู„ู‡ ููŠ ุดุบู„ ุฃูˆุฏุญูƒูŠู‡ุง ุฃู†ุง ุจุงู„ู†ุณุจุฉ ู„ .. ุงู„ู…ุดุฑูˆุน
582
00:45:05,580 --> 00:45:10,340
ู‡ูˆ ู…ุด ู…ุดุฑูˆุน ุจูƒู„ู…ุฉ ู…ุดุฑูˆุน ุจู‚ุฏุฑ ู…ุง ุงู†ู‡ assignment ุงู‡
583
00:45:10,340 --> 00:45:15,900
ู‡ุฐุง ูŠุง ุจู†ุงุช ู…ู…ูƒู† ุงุญุท ุนู„ูŠู‡ 13 ุฏุฑุฌุฉ ุจุฏูŠ ุดุบู„ ู…ู†ุธู…
584
00:45:15,900 --> 00:45:20,430
ุงู„ู„ู‡ ูŠุฑุถู‰ ุนู†ูƒู…ูƒูŠู ู…ู†ุธู…ุŸ ูŠุนู†ูŠ professionalุŸ ูƒูŠู
585
00:45:20,430 --> 00:45:23,890
professionalุŸ ุงู†ุง ู„ุบุงูŠุฉ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ู‰ ู…ู…ูƒู† ุชุฌูŠุจูˆุง
586
00:45:23,890 --> 00:45:30,750
ุนู†ู‡ุง ู‡ุงุฑูŠูƒูˆุง ุจุนุถ ุงู„ prototype ู‡ุฐู‡ ุงู„ู„ู‰ ู‡ูŠ ุจุนุถ
587
00:45:30,750 --> 00:45:36,330
ุงู„ู†ู…ุงุฐุฌ ุงู„ reportุจุฏุงูŠุฉ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ู‰ ุจุฏู‰ ุชุฌูŠุจูˆู„ูŠู‡ุง
588
00:45:36,330 --> 00:45:40,050
ู„ู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ููŠ ุงู„ู…ูˆู‚ุน ู„ู„ุฏูƒุชูˆุฑ ุงู„ุฃุณุชุฑุงู„ูŠ
589
00:45:40,050 --> 00:45:43,170
ุงู„ู…ุดู‡ูˆุฑ ุฌุฏุง ุงู„ู„ู‰ ู‡ูˆ ุงุณู…ู‡ ููŠ ุงู„ .. ููŠ ุงู„ time
590
00:45:43,170 --> 00:45:49,090
series ุงุณู…ู‡ Robin Hindman ุงู„ู„ู‰ ูˆูŠุจ ุณุงูŠุช ุงู„ website
591
00:45:49,090 --> 00:45:54,530
ุชุจุนุชู‡ .. ู…ู…ูƒู† ุฃู†ุณุฎ ู‡ุฐุง ุงู„ copy ูˆ ุฃู†ุณุฎู‡ ู‡ู†ุง ูุงู„
592
00:45:54,530 --> 00:45:59,010
website ุงู„ู„ู‰ ู‡ุชุฏุฎู„ ุนู„ูŠู‡ุง ุฃุนุฑุถู‡ุง ุนู„ูŠูƒู… ุงู„ุขู† ุฃู…ุงู…ูƒู…
593
00:45:59,010 --> 00:46:04,400
ุฅู…ุง ุนู„ู‰ ุงู„ูƒู…ุจูŠูˆุชุฑู‡ูˆ ุนู„ู‰ ุงู„ู„ูˆุญุฉ ุงู„ู„ู‰ ุจุชุดูˆููˆู‡ ู…ู†ุงุณุจ
594
00:46:04,400 --> 00:46:15,740
R O P J H Y N D M M A N Dot Com Dot T S D L ู†ุญูŠุง
595
00:46:15,740 --> 00:46:21,200
ู‡ูŠุง ุฃู…ุงู…ูƒูˆุง ู‡ู„ุฃ ุฃู†ุชูˆุง ุฏุฎู„ุชูˆุง ุนู„ู‰ ุงู„ website ู‡ุฐู‰
596
00:46:21,200 --> 00:46:26,560
ุฃุนุชู‚ุฏ ูƒูุงูŠุฉ ุงู„ุนุฑุถ ู‡ู„ ุฌูŠุช ู„ุฃู†ู‡ุง ูˆุถุนุชู‡ุง ู‡ู‰ ู‡ู‰ ุฏุฎู„ุชูˆุง
597
00:46:26,560 --> 00:46:31,600
ุนู„ูŠู‡ุงุทุจุนุง ู‡ุฐุง ุงู„ุฅู†ุณุงู† ุดู‡ูŠุฑ ุฌุฏุง ูŠุนู†ูŠ ุจุงู„ุณู„ุงุณู„
598
00:46:31,600 --> 00:46:36,260
ุงู„ุฒู…ุงู†ูŠุฉ ุจุชู„ุงู‚ูˆุง ุฃู†ู‡ ููŠ ุนู†ุฏู‡ ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ link
599
00:46:36,260 --> 00:46:42,700
ู‡ุฐุง ู„ูˆ ุถุบุทูˆุง ุนู„ูŠู‡ ุจุฏุฎู„ู†ูŠ
600
00:46:42,700 --> 00:46:47,760
ุนู„ู‰ ูƒุชูŠุฑ ุจูŠุงู†ุงุช ููŠ ุงู„ finance ุงู„ู„ูŠ ู‡ูŠ ููŠ ุงู„ู…ุงู„ ุงู„
601
00:46:47,760 --> 00:46:53,740
computing ุญุณุงุจุงุช ููŠ transport and tourism ุณูŠุงุญุฉ ูˆ
602
00:46:53,740 --> 00:46:57,900
ุงู„ู…ูˆุงุตู„ุงุช ูƒู„ ู‡ุฐู‡ ุจูŠุงู†ุงุช ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„ crime
603
00:46:57,900 --> 00:47:03,300
ู‡ูŠู‡ุงุงู‡ ุจุงู„ hydrologyุŒ ุงู„ู…ูŠุงู‡ุŒ ุจุงู„ุฌุฑุงูŠู…ุŒ ุจุงู„
604
00:47:03,300 --> 00:47:08,080
chemistryุŒ ุงู„ .. ุจุงู„ healthุŒ ุจุงู„ industryุŒ ูู…ุซู„ุง
605
00:47:08,080 --> 00:47:11,820
ุดูˆ ุจุฏูƒูˆุง ูŠุง ุจู†ุงุชุŸ ุนู„ู‰ ุณูˆูŠู„ ู…ุซู„ ู…ุซู„ุง ุฃู†ุชูˆุง ุชุฑุจูŠุฉ
606
00:47:11,820 --> 00:47:17,640
ุตุญุŸ ู…ุซู„ุง ุจุงู„ ุฅูƒุฑุงู†ุŒ ุฃู†ุชูˆุง ู…ุนุธู…ูƒูˆุง ุชุฑุจูŠุฉุŒ ุงู„ู„ู‡ ูŠุนููˆ
607
00:47:17,640 --> 00:47:20,900
ููŠู†ุง ูˆุนุงููŠูƒูˆุง ุทุจุนุงุŒ ุงู„ุฅูƒุฑุงู†ุŒ ู…ุงุชุฎุดูŠ ุนู„ู‰ ุงู„ุฅูƒุฑุงู†
608
00:47:22,810 --> 00:47:26,910
ุจุงู„ุฌุฑุงุฆู… ุงู‡ ูŠุนู†ูŠ ู†ุนู… ุงู„ุจูŠุงู†ุงุช ู‡ูŠ ุงุชุญุช okay ุจุนุฏ ู…ุง
609
00:47:26,910 --> 00:47:30,470
ุถุบุทู‡ ุจูŠุฌูŠุจู„ูƒ ุงู„ุงู† ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ุง
610
00:47:30,470 --> 00:47:34,870
ู…ู†ูŠุญ ู‡ูŠูƒ ุจุงู„ finance ู‡ูŠ ููŠ ุนู†ุฏูƒ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง
611
00:47:34,870 --> 00:47:39,610
ุนู„ุงู‚ุฉ ู…ุซู„ุง ุจุงู„ US treasury ุฎุฒูŠู†ุฉ ุงู„ุฃู…ุฑูŠูƒูŠุฉ ุงู„ุฎุฒุงู†ุฉ
612
00:47:39,610 --> 00:47:44,650
ุชุจุนุช ุงู„ revenue ู‡ุฐุง ุงู„ุนุงุฆุฏ ุชุจุนุชู‡ู… ุงู„ุชุฎู„ ู…ู† 1963
613
00:47:44,650 --> 00:47:50,700
ุฃุจุฑูŠู„ ู„ July ุงูˆ ู…ุซู„ุง ุงู„ annual velocityุชุจุนุช ุงู„
614
00:47:50,700 --> 00:47:54,280
money ุงู„ุงุฎุฑู‡ุง ุงูŠ ุจูŠุงู†ุงุช ูู…ุซู„ุง ุจุฏูƒูˆุง ุงู„ุจูŠุงู†ุงุช ู‡ุฐู‡
615
00:47:54,280 --> 00:47:58,120
ุนู„ู‰ ุณุจูŠู„ ู…ุซุงู„ ุงู†ูƒ ู‚ุฑุฑุช ุชุชุฑูˆุญูŠู‡ุง ุงู„ู‰ ูƒู„ ูˆุงุญุฏุฉ ููŠูƒูˆุง
616
00:47:58,120 --> 00:48:02,340
ุจุชุฏุฎู„ ุนู„ู‰ ุงู„ website ุจุชุฌูŠุจ ุจูŠุงู†ุงุช ุจุชุนู…ู„ู„ูŠ ุงู„ุจูŠุงู†ุงุช
617
00:48:02,340 --> 00:48:05,320
ู‡ุฐู‡ ุจุชุญูƒูŠ ุนู†ู‡ุง ุจุชู†ุฒู„ู‡ุง ุจุชู‚ูˆู„ูŠ ู…ู† ูˆูŠู† ุฌุงุจุชู‡ุง ูˆ ูˆูŠู†
618
00:48:05,320 --> 00:48:08,700
ุงู„ link ู„ุฅู„ู‡ุง ูุงู‡ู…ูŠู†ู‡ุงุŸ ูŠุนู†ูŠ ู…ุด ุชุฌูŠุจูˆุง ุฅุดูŠ ูˆ ุชุญุทูˆู‡
619
00:48:08,700 --> 00:48:13,100
ู‡ู„ุฃ ู„ุฃ ุจุนุฏ ู‡ูŠูƒ ุฑุณู…ุชู‡ุง ุจุงู„ู…ู†ุงุณุจุฉ ู„ุณู„ุณู„ุฉ ุฒู…ุงู†ูŠุฉ ุนุจุฑ
620
00:48:13,100 --> 00:48:18,880
ุงู„ุฃุฒู…ู†ุฉ ู‡ูŠู‡ุง ูƒูŠู ุงุชู†ุฒู„ูˆู‡ุง ุจุชุนู…ู„ูˆุง exportExport
621
00:48:18,880 --> 00:48:25,620
ูˆุจู†ุฒู„ูƒูŠู‡ุง ู…ุซู„ุง ุงูƒุณู„ ู…ุงุดูŠ ู‡ุงูŠู‡ุง ุงูƒุณู„ ุดุงูŠููŠู†ู‡ุง ุจุชู†ุฒู„
622
00:48:25,620 --> 00:48:28,760
ุงู„ุจูŠุงู†ุงุช ุงู„ู…ุงู„ูŠุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ุจุนุฏ ู…ุง ุชู†ุฒู„ูˆู‡ุง ู‡ูŠ ู†ุฒู„ุช
623
00:48:28,760 --> 00:48:32,660
ุงู„ุงู† ูุงู„ุงู† ุจุนุฏ ู…ุง ู†ุฒู„ู†ุงู‡ุง ุงู†ุชูˆุง ุจู„ุงุนุธู… ู‡ุงูŠู‡ุง ุทุจุนุง
624
00:48:32,660 --> 00:48:35,380
ุจูŠุญูƒูŠ ุนู†ู‡ุง ุจุงู„ู…ู†ุงุณุจุฉ ู‡ุงูŠู‡ุง ุจูŠุญูƒูŠ ุนู† ุงู„ุจูŠุงู†ุงุช ูˆุดูˆ
625
00:48:35,380 --> 00:48:40,940
ุทุจูŠุนุชู‡ุง ูˆ ุงู„ุงุฎุฑ ูˆุงุตูู‡ุง ู†ุนู… ูˆููŠ ุฌูˆุฌู„ ุจุนุฏ ู…ุง ุชู†ุฒู„ูˆู‡ุง
626
00:48:40,940 --> 00:48:46,130
ุจูŠุฌูŠุจู„ูƒ ุนู…ูˆุฏูŠู† ุนู…ูˆุฏ ุงู„ุณู†ุฉ ูˆ ุนู…ูˆุฏ ู„ู…ูŠู† ู„ู„ุจูŠุงู†ุงุชู…ู…ูƒู†
627
00:48:46,130 --> 00:48:51,730
ุชู†ุณุฎูˆู‡ู… ูˆ ุชุญุทูˆู‡ู… ุนู„ู‰ ูˆูŠู†ุŸ ุนู„ู‰ text .. ุน text ูˆ
628
00:48:51,730 --> 00:48:55,130
ุชู‚ุฑุคูˆู‡ู… ููŠ ู…ุจุงุฏุฑ ููŠ ุงู„ู‚ุฑุงุกุฉ ุงู„ู„ูŠ .. ุงู„ code ุงู„ู„ูŠ
629
00:48:55,130 --> 00:48:59,070
ู‡ูˆ read table ุงูˆ say ุงูˆ ุงูƒุชุฑ ุงู„ู„ูŠ ู‡ูˆ ุงูŠ code
630
00:48:59,070 --> 00:49:05,170
ุจุชุดูˆููˆู‡ ู…ู†ุงุณุจุŒ ู†ุญูŠู‡ุŸ ู„ุฃ ู…ุงุชุนู…ู„ .. ู…ุงุชุนู…ู„ู‡ูˆุด ุจุฏูŠ ุงู‡
631
00:49:05,170 --> 00:49:10,710
ุฑุงู†ุงุŒ ุจุฏูŠุด accentุŒ ุจุฏูŠุด accentุŒ ุจุฏูŠ ุงู‡ุงู„ู„ูŠ ู‡ุงู† ุงู„
632
00:49:10,710 --> 00:49:13,850
excel ุจูŠู‚ุฑุฃ ูˆ ุจูŠุนู…ู„ ูˆ ุจูŠุณูˆูŠ ูˆ ุจุฑุณู… ูˆ ุฌู…ูŠู„ ูˆ ู…ุงุดูŠ
633
00:49:13,850 --> 00:49:15,830
ู‚ุจู„ ุงู„ู„ูŠ ุนู†ูŠู‡ .. ู…ุงุดูŠ ู‚ุจู„ ุงู„ู„ูŠ ุนู†ูŠู‡ ุฒุฑูˆุฌ ู„ูƒู† ุงู†ุง
634
00:49:15,830 --> 00:49:19,990
ุจุฏูŠ ุฅูŠุดุŒ ู„ุฃ ุฎู„ุต ุงู„ูˆู‚ุช ูŠุง ุจู†ุงุช ู„ู„ุฃุณูุŒ ู‡ุฐู‡ ุฎุทูˆุฉ ุฃูˆู„ู‰
635
00:49:19,990 --> 00:49:23,390
ู„ู„ู…ุดุฑูˆุนุŒ ุดูˆูุชูˆุง ู…ู† ูˆูŠู† ุจุฏูŠู‡ ู‡ูˆุŸ ุงู„ู„ูŠ ู‡ุงู† ุจุนุฏ ู‡ูŠูƒ
636
00:49:23,390 --> 00:49:26,490
ุจู†ู‚ูˆู„ูƒูˆุง ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌูŠุด ูˆ ู†ุนู…ู„ ูˆ ู‡ูƒุฐุงุŒ ุงู„ู„ูŠ ู‡ุงู†
637
00:49:26,490 --> 00:49:28,770
ุงู†ุง ู„ู„ุฃุณู ุงู†ุชู‡ู‰ ูˆู‚ุชูŠุŒ ูŠุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ