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1
00:00:21,290 --> 00:00:24,730
ูŠุง ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุทูŠุจ ุงุญู†ุง ุงู„ูŠูˆู… ูˆุตู„ู†ุง ูŠุง
2
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ุจู†ุงุช ู„ุนู†ุฏ ู…ุง .. ู‚ุฏ ู…ุง ุฃุฎุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ auto
3
00:00:27,010 --> 00:00:30,210
-regressive ูˆ ุงู„ moving average ูˆ ูˆุตู„ู†ุง ู„ุนู†ุฏูŠ ุงู„ู„ูŠ
4
00:00:30,210 --> 00:00:33,410
ู‡ูˆ ุงู„ุฎู„ูŠุท ุจูŠู†ู‡ู… ุงู„ mixed ุงู„ู„ูŠ ู‡ูˆ ุงุณู…ู‡ auto
5
00:00:33,410 --> 00:00:37,450
-regressive moving average ูˆ ุงู„ุฅุฎุชุตุงุฑู‡ ARMA models
6
00:00:37,450 --> 00:00:42,890
ุทูŠุจ ุจุงู„ู†ุณุจุฉ ู„ู„ auto-regressive moving average
7
00:00:42,890 --> 00:00:46,130
ุจู†ูƒุชุจ ุจุงู„ุตูŠุบุฉ ุงู„ู„ูŠ ุฃู…ุงู…ู†ุง ุนู†ุฏู…ุง ูŠูƒูˆู† ุงู„ูˆุณุท ุงู„ุญุณุงุจูŠ
8
00:00:46,130 --> 00:00:50,370
ู‡ู†ุง 0ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ order ุชุจุนู‡ ุทุจุนุง ู‡ูˆ ุงู„ุฎู„ูŠุท
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00:00:50,370 --> 00:00:53,570
mixed ุจูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ auto regressive order ูˆ ุงู„
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00:00:53,570 --> 00:00:57,370
moving average order ุงู„ู„ูŠ ู‡ูˆ ุงู†ุง ุนู†ุฏูŠ ุงู„ orders P
11
00:00:57,370 --> 00:01:01,610
ูˆ Q ูˆ ุจู†ูƒุชุจู‡ ุจุงู„ุดูƒู„ ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ุงู…ุงู…ูƒู… Xt
12
00:01:01,610 --> 00:01:09,030
ุจุชุณุงูˆูŠ summation ู…ู† I ุชุณุงูˆูŠ ูˆุงุญุฏ ุงู„ู‰ P Phi Xt
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minus I ุฒุงุฆุฏ
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00:01:21,960 --> 00:01:25,640
ุทุจุนุง ู‡ู†ุง ูˆุงุถุญ ุงู†ู‡ ุจุฏุฃู†ุง ู…ู† ูˆูŠู† ู…ู† zero ูˆุงู„ุณุจุจ
15
00:01:25,640 --> 00:01:30,950
ุจุตุฑุงุญุฉ ุนุดุงู† ุนู†ุฏ ุงู„ zero ู‡ู†ุง ุจูŠุนุทูŠู†ูŠุงู„ู„ูŠ ู‡ูŠ ฮธ0 ุงู„ู„ูŠ
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00:01:30,950 --> 00:01:34,710
ู‡ูŠ ูˆุงุญุฏ ูู„ูˆ ููƒุชู‡ ุงู„ summation ู‡ุฐุง ุตุฑุงุญุฉ ุฃูˆู„ ุญุฏ
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00:01:34,710 --> 00:01:38,490
ุจูŠูƒูˆู† ููŠู‡ ุฌูˆุงุชู‡ ู‡ุงู†ุง ุจูŠูƒูˆู† ุนุจุงุฑุฉ ุนู† ู…ูŠู† epsilon T
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00:01:38,490 --> 00:01:44,650
ุซู… ุจุนุฏ ุฐู„ูƒ ุจูŠุตูŠุฑ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุซุชุง ูˆุงุญุฏ epsilon T
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minus ูˆุงุญุฏ ุซู… ุจุนุฏ ุฐู„ูƒ ุซุชุง ุชู†ูŠู† epsilon T minus
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00:01:48,910 --> 00:01:52,380
ุชู†ูŠู† ูˆู‡ูƒุฐุง ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ moving average partุจูŠู†ู…ุง
21
00:01:52,380 --> 00:01:55,340
ุงู„ู„ูŠ ู‡ูˆ ุงู„ part ุงู„ู„ูŠ ู‡ู†ุง ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ auto
22
00:01:55,340 --> 00:01:59,500
-regressive part ูˆ ู‡ุฐุง ุทุจุนุง ุงุญู†ุง ุดูู†ุงู‡ ู…ุด ุบุฑูŠุจ
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00:01:59,500 --> 00:02:03,180
ูŠุนู†ูŠ ู…ุด ุตุนุจ ู…ุตุจูˆุญ ูู‡ูˆ ุฎู„ูŠุท ุจูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ auto
24
00:02:03,180 --> 00:02:05,960
-regressive ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฌุฒุฆูŠุฉ ู‡ุงูŠ ูˆ ุงู„ moving
25
00:02:05,960 --> 00:02:08,540
average ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฌุฒุฆูŠุฉ ู‡ุงูŠ ุทุจุนุง epsilon T ููŠ
26
00:02:08,540 --> 00:02:11,540
ุงู„ุญุงู„ุฉ ู‡ุงูŠ ู†ูุณ ุงู„ุญุงู„ุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุจุชูƒูˆู† ุนุจุงุฑุฉ
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00:02:11,540 --> 00:02:15,380
ุนู† white noise series ุงู„ mean ุฅู„ูŠู‡ุง ู…ุซู„ุง ู…ู…ูƒู† ูŠูƒูˆู†
28
00:02:15,380 --> 00:02:19,150
zero ูˆ ุงู„ variance ุฅู„ูŠู‡ุง sigma ุชุฑุจูŠุฉุงู„ู€ theta ูˆุงู„ู€
29
00:02:19,150 --> 00:02:22,790
phi ู‡ุฏูˆู„ุฉ ุนุจุงุฑุฉ ุนู† parameters ุงู„ู€ phi ู…ู† ูˆุงุญุฏ ุฅู„ู‰
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00:02:22,790 --> 00:02:26,610
P ูˆุงู„ู€ theta ู…ู† ูˆุงุญุฏ ุฅู„ู‰ .. ุงูˆ ู…ู† zero ุฅู„ู‰ Q ุทุจุนุง
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00:02:26,610 --> 00:02:29,330
ู…ุด ู…ู† zero ู‡ูŠ ู…ู† ูˆุงุญุฏ ู…ุง ู‡ูŠ ุงู„ู€ theta ุฒูŠุฑูˆ ู…ุง ู‡ูŠู‡ุง
32
00:02:29,330 --> 00:02:32,630
ุจุชูƒูˆู† ุนู…ู„ูŠุฉ ู…ูŠู†ุŸ ูˆุงุญุฏ ูู‡ูŠ ู…ุด parameter ู‡ูŠ ู…ุฌุฑุฏ
33
00:02:32,630 --> 00:02:36,290
constant ุจุณ ู„ุณู‡ูˆู„ุฉ ุงู„ูƒุชุงุจุฉ ุงู†ุง ุนู…ุฑุช ู…ู†ู‡ุง ููŠ ุจุนุถ
34
00:02:36,290 --> 00:02:40,030
ุงู„ู†ุงุณ ุจุชูƒุชุจูˆุง theta zero ุนููˆุง ุชูƒุชุจูˆุง epsilon T ู‡ู†ุง
35
00:02:40,030 --> 00:02:43,210
ุซู… ุจุนุฏ ุฐู„ูƒ ุจูŠุนู…ู„ูˆุง summation ู‡ู†ุง ุจูŠุจุฏุฃ ู…ู† ูˆูŠู†ุŸ ู…ู†
36
00:02:43,210 --> 00:02:47,310
ูˆุงุญุฏ ุจูŠู…ุดูŠ ุงู„ุญู‚ุชู…ุงู…ุŸ ูู‡ุฐุง ู‡ูˆ ุงู„ auto-regressive
37
00:02:47,310 --> 00:02:49,750
moving average ู…ุด ุตุนุจ ูˆู„ุง ู„ุงุŸ ุงู„ู„ูŠ ู‡ูˆ ุงู„ arma
38
00:02:49,750 --> 00:02:53,830
model ุทุจุนุง ู‡ุฐุง ุงู„ auto-regressive modelู…ู…ูƒู† ู†ูƒุชุจู‡
39
00:02:53,830 --> 00:02:56,690
ุจุงู„ backshift operator ุจุงู„ุตูŠุบุฉ ุงู„ู„ูŠ ุฃู…ุงู…ูƒูˆุงุŒ
40
00:02:56,690 --> 00:03:03,310
ู…ุตุจูˆุญุŸ ูู‡ู†ุง ุงู„ big phi of b of x,t ุซุชุง big theta
41
00:03:03,310 --> 00:03:08,750
ูŠุนู†ูŠ ูˆ ุงู„ sub q of b ุงู„ epsilon t ุทุจุนุง ููŠ ุงู„ุญุงู„ุฉ
42
00:03:08,750 --> 00:03:13,170
ู‡ุฐู‡ ุงู„ phi ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† polynomial of degree mean
43
00:03:13,170 --> 00:03:17,750
b ุจูŠู†ู…ุง ุงู„ theta ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† polynomial of degree
44
00:03:17,750 --> 00:03:21,790
meanQ ูˆู‡ุฏูˆู„ุฉ ูƒู„ู‡ุง ุดูู†ุงู‡ุง ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ู…ุงููŠุด
45
00:03:21,790 --> 00:03:26,290
ุฏุงุนูŠ ู†ูƒุชุฑ ููŠ ุญูƒูˆุงู‡ ุฃุนุชู‚ุฏ ุฃู†ู‡ ูˆุงุถุญ ุตุญ ุทูŠุจ ุจู†ุงุช ู„ูˆ
46
00:03:26,290 --> 00:03:29,770
ูƒุงู† ุงู„ XT ู‡ุฐุง ุงู„ mean ุฅู„ู‡ ู…ุด zero ุงู„ู„ูŠ ุฅู„ู‡ ุงู„ mean
47
00:03:29,770 --> 00:03:33,850
ุงู„ู…ุชูˆุณุท ุญุณุงุจูŠ ุฅู„ู‡ ู…ูŠูˆ ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ we replace XT
48
00:03:33,850 --> 00:03:38,630
by what XT minus ู…ูŠูˆ ูˆููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจู†ุญุตู„ ุนู„ู‰ ุงู„ู„ูŠ
49
00:03:38,630 --> 00:03:41,910
ู‡ูˆ ุงู„ series ุงู„ู„ูŠ ุจุชู†ูƒุชุจ ุฃูˆ ุงู„ process ุงู„ู„ูŠ ู‡ูŠ ุงู„
50
00:03:41,910 --> 00:03:46,750
ุฃุฑู…ู‰ ุงู„ู„ูŠ ุจุชู†ูƒุชุจ ุจุงู„ุตูŠุบุฉ ุฃู…ุงู…ู†ุง ู‡ุฐู‡ ูˆุงุถุญุทุจุนุง ู…ู…ูƒู†
51
00:03:46,750 --> 00:03:50,390
ุงูŠุถุง ู†ูƒุชุจู‡ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ู‰ ุงู†ุชูˆุง ุจุชุนุฑููˆู‡ุง ุงู†ู‡ ู…ุซู„ุง
52
00:03:50,390 --> 00:03:54,690
ุฒู‰ ู…ุง ุนู…ู„ู†ุง ููŠ ุงู„ auto-regressive ุงู‡ ูุจู†ู‚ุฏุฑ ู†ูƒุชุจ
53
00:03:54,690 --> 00:03:56,870
ู‡ุฐุง ุงู„ู„ู‰ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ุดุงูŠููŠู† ุงู„ mouse ู…ุนุงูŠุง ู‡ูˆ
54
00:03:56,870 --> 00:04:01,030
ุจุชุญุฑูƒ ุงู„ู„ู‰ ู‡ู‰ high ุดุงูŠููŠู†ู‡ ูˆู„ุง ู…ุด ุดุงูŠููŠู†ู‡ุŸ okay
55
00:04:01,030 --> 00:04:05,730
ุทูŠุจ high ู…ู…ูƒู† ู†ูƒุชุจู‡ุง ุนู„ู‰ ุตูŠุบุฉ ุงู„ู„ู‰ ู‡ู‰ xd ุชุณุงูˆูŠ
56
00:04:05,730 --> 00:04:11,330
alpha ู‡ุฐุง ู…ุฌุฑุฏ alpha ุงู„ู„ู‰ ู‡ูˆ interceptุงู„ู…ู‡ู… a ุฒุงุฆุฏ
57
00:04:11,330 --> 00:04:16,670
ููŠ ูˆุงุญุฏ Xt minus ูˆุงุญุฏ ุฅู„ู‰ ููŠ ุจูŠ Xt minus ุจูŠ ุทุจุนุง
58
00:04:16,670 --> 00:04:19,510
ู‡ุฐู‡ ุงู„ุฌุฒุฆูŠุฉ ุนุจุงุฑุฉ ุนู† ุงู„ู„ูŠ ู‡ูŠ mean ุงู„ auto
59
00:04:19,510 --> 00:04:24,690
regressive ูˆ ุจุนุฏูŠู† ุฒุงุฆุฏ epsilon T ุฒุงุฆุฏ theta ูˆุงุญุฏ
60
00:04:24,690 --> 00:04:28,990
ุฅู„ู‰ theta Qepsilon t minus q ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฌุฒุฆูŠุฉ ู‡ุฐู‡
61
00:04:28,990 --> 00:04:32,850
ุนุจุงุฑุฉ ุนู† moving average ุทุจุนุง ูˆุงุถุญ ู‡ุฐุง ุงู„ูƒู„ุงู… ูˆ ุงู„
62
00:04:32,850 --> 00:04:35,970
alpha ู‡ุฐู‡ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุดูˆููˆู‡ุง ุนู„ุดุงู† ุงู†ู‡ุง ุนุจุงุฑุฉ ุนู†
63
00:04:35,970 --> 00:04:40,650
ู…ูŠูˆ ู…ุถุฑูˆุจุฉ ููŠ ูˆุงุญุฏ minus ุณู‡ู„ ู‡ูŠุชุนุตุฑ ู…ุฌุฑุฏ ุงู†ูƒ ู„ูˆ
64
00:04:40,650 --> 00:04:44,990
ุงู†ุช ูˆุฒุนุชู‡ ู‡ุงูŠ ูˆุฌู…ุนุชู‡ ุญุฏูˆุฏ ู…ุน ุจุนุถ ูˆุนู…ู„ู†ุงู‡ุง ููŠ ุงู„
65
00:04:44,990 --> 00:04:48,090
auto-regressive ู…ุตุจูˆุน ุทุจุนุง ุจู†ุงุช ูˆุงุถุญ ุงู† ุงู„ epsilon
66
00:04:48,090 --> 00:04:51,010
t ู‡ุฐุง ุงู†ุง ู…ุด ุญุงุทู‡ ู„ุง ู…ุน moving average ูˆู„ุง ู…ุน ู…ูŠู†
67
00:04:51,010 --> 00:04:56,880
ู‡ูˆ ุจูŠุฌูŠ ู…ุน ู…ูŠู† ุจุตุฑุงุญุฉู‡ูˆ ุจูŠุฌูŠ ู…ุน ุงู„ุชู†ูŠู† ูŠุง ุนุฒูŠุฒูŠ ู‡ูˆ
68
00:04:56,880 --> 00:04:59,780
ู…ุด ู…ุดุชุฑูƒ ูŠุนู†ูŠ ุงู„ุตุฑุงุญุฉ ู‡ุฐู‡ ุงู„ุฌุฒุฆูŠุฉ ุงู„ู„ูŠ ุฃู†ุง ุนุงู…ู„ู‡ุง
69
00:04:59,780 --> 00:05:05,160
ุฃู…ุงู…ูƒูˆุง ูƒุงุชุจ ุนู„ูŠู‡ุง auto-regressive part ุตุญุŸ ูู‰ ุถู„ุช
70
00:05:05,160 --> 00:05:08,760
ู…ู†ู‡ุง ุฌุฒุฆูŠุฉ ุจุณูŠุทุฉ ุฌุฒุฆูŠุฉ ู…ู† ู…ูŠู† ุงู„ white noise ุงู„ู„ู‰
71
00:05:08,760 --> 00:05:12,520
ู‡ู‰ ู‡ุงูŠ ูŠุนู†ูŠ ุงู„ epsilon ุฅุฐุง ุฑุฌุนุชู‡ ุจุณ ุงู†ุชูˆุง ุดุงูŠููŠู†
72
00:05:12,520 --> 00:05:16,180
ูƒู„ ุงู„ scene ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุฑุฌุนุช ู…ุซู„ุง ุฃุฑุจุน ุฎู…ุณ ู…ู† ุงู„
73
00:05:16,180 --> 00:05:21,700
slides ุฏูˆุง ูˆุฑุง ุฏูˆุง ูˆุฑุง ู‡ุฏุง ู‡ู‰ ู…ู† ุงู„ auto
74
00:05:21,700 --> 00:05:26,030
-regressive ู…ุตุจูˆุญุŸู…ุด ููŠู‡ epsilon ููŠ ุงู„ุฃุฎูŠุฑุŸ ุงู‡ ูˆ
75
00:05:26,030 --> 00:05:31,770
ู‡ุฐุง ู†ูุณ ุงู„ุดูŠ ูŠุนู†ูŠ ู‡ู†ุง ูุงู„ epsilon ุงู„ู„ูŠ ู‡ุงู† ุงู„ู…ูุฑูˆุถ
76
00:05:31,770 --> 00:05:35,830
ูŠุฏุฎู„ ู…ุน ู…ูŠู† ู…ุน ุงู„ูˆู‚ุช ุงู„ aggressive ูˆ ุจุงู„ู…ู‚ุงุทุน ูˆ ุงู„
77
00:05:35,830 --> 00:05:38,530
epsilon ุงู„ู„ูŠ ู‡ุงู† ุงูŠุถุง ุจุฏุฎู„ ู…ุน ู…ูŠู† ู…ุน ุงู„ู…ุถุบุท
78
00:05:38,530 --> 00:05:41,550
ูุงู„ุตุฑุงุญุฉ ู‡ุฐุง ุงู„ epsilon ู‡ูˆ ุญุฏ ู…ุดุชุฑูƒ ุจูŠู† ู…ูŠู† ูˆ ู…ูŠู†
79
00:05:41,550 --> 00:05:46,390
ุจูŠู†ู‡ู… ุจูŠู† ู‡ุฏูˆู„ ุตุญุŸ ู„ูƒู† ู‡ูŠ mix ุจุฌู…ูŠุน ุงู„ุฃุญูˆุงู„ ุจูŠู†
80
00:05:46,390 --> 00:05:50,800
ุงู„ู„ูŠ ู‡ูˆ ุฌุฒุฆูŠุฉ ุงู„ AR modelุงู„ู€ Autoregressive ูˆุงู„ู€
81
00:05:50,800 --> 00:05:54,020
MA Model ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Moving Average ู…ู† ุฃูŠ ุญุงุฌุฉุŸ
82
00:05:54,020 --> 00:05:57,720
ุทุจุนุง ุฃูˆู„ ุดูˆูŠุฉ ุจู†ุนุช ุจุงู„ู€ R ุจุงู„ู€ function ุงู„ู„ูŠ ุงุณู…ู‡ุง
83
00:05:57,720 --> 00:06:01,180
Arima ุงู„ output ุชุจุน ุงู„ function ุงู„ู„ูŠ ุงุณู…ู‡ุง Arima
84
00:06:01,180 --> 00:06:04,460
ูˆุญู†ุงุฎุฏู‡ุง ุฅู† ุดุงุก ุงู„ู„ู‡ ุจุฑูƒู† ุฒูŠ ู…ุง ุนู…ู„ู†ุงู„ูƒู… ู…ุญุงุถุฑุฉ ุฃูˆ
85
00:06:04,460 --> 00:06:08,790
ู…ุญุงุถุฑุชูŠู† ูŠูˆู… ุฎุตุตู†ุงู‡ุง ุนู„ู‰ ุงู„ู€ Rุจุดูƒู„ ูŠุนู†ูŠ ุชูุตูŠู„ูŠ
86
00:06:08,790 --> 00:06:12,610
ู…ู…ูƒู† ู†ุนู…ู„ ููŠู‡ ู…ุจุงุนุฏ ุจุฑุถู‡ ู…ุญุงุถุฑุฉ ุงูˆ ู…ุญุงุถุฑุชูŠู† ูˆู†ุดูˆู
87
00:06:12,610 --> 00:06:15,850
ูƒูŠู ู†ุนู…ู„ ู‡ุฐุง ุงู„ุดุบู„ ุจุงู„ R ุจุฑุถู‡ ุงู„ู…ู‡ู… ุงู„ output ุชุจุน
88
00:06:15,850 --> 00:06:19,670
ุงู„ R ู‚ุฑูŠู…ุฉ function ุชุจุน ุงู„ R ููŠ file output ุงุณู…ู‡
89
00:06:19,670 --> 00:06:25,450
intercept ูู‡ูŠ ุงู„ alpha ู†ุญู† ูุงุณู…ู‡ H ู‡ุฐุง ุงู„ alpha
90
00:06:25,450 --> 00:06:30,590
ู„ู…ุง ู†ุณุชุฎุฏู… ุงู„ function ู‚ุฑูŠู…ุฉ ุงุณู…ู‡ intercept ู†ุดูˆูู‡
91
00:06:30,590 --> 00:06:35,360
ุจุนุฏูŠู†ุงู„ conditions ุชุจุนูˆู† ุงู„ุฃุฑู…ู‰ ู…ูˆุถู„ ูŠุจู†ู‰ ุจุชู„ุงุชุฉ
92
00:06:35,360 --> 00:06:37,540
conditions ุงู„ู„ู‰ ู‡ูˆ ุงู„ condition ุงู„ุฃูˆู„ุงู†ู‰
93
00:06:37,540 --> 00:06:41,120
stationary ุงู„ condition ุงู„ุชุงู†ู‰ ุงู„ invertibility ูˆ
94
00:06:41,120 --> 00:06:45,000
ุงู„ condition ุงู„ุชุงู„ุชู‰ ุงู„ู„ู‰ ู‡ู‰ identifiable ุชู…ุงู…ุŸ
95
00:06:46,160 --> 00:06:50,560
ู…ุงูุฑุฌุด ูŠุนู†ูŠ ู‡ูŠ ู…ุฌุฑุฏ ุดูˆููˆุง ู„ู…ุง ุงู†ุง ุงุญุถุฑู„ูƒูˆุง ู‚ุจู„
96
00:06:50,560 --> 00:06:53,840
ูŠุนู†ูŠ ุจูƒูˆู† ู…ุญุถุฑ ู‚ุจู„ ู‡ูŠูƒ ูˆ ู„ู…ุง ู†ุงุฌุน ุงู„ู…ุญุงุถุฑุฉ ู‚ุจู„
97
00:06:53,840 --> 00:06:57,960
ุงู„ุชุญุถูŠุฑ ุจุงุฌุฏ ู…ู† ุงู„ู…ู†ุงุณุจ ุงู†ูŠ ุฃุนุฑุถู‡ุง ุจุทุฑูŠู‚ุฉ ู…ุฎุชู„ูุฉ
98
00:06:57,960 --> 00:07:01,560
ุฃู„ุทู ู…ู† ุงู„ู„ูŠ ุจูŠู† ุฅูŠุฏุงูƒูˆุงุŒ ู†ุญู†ุŸ ุจุณ ููŠ ุฌู…ูŠุน ุงู„ุฃุญูˆุงู„
99
00:07:01,560 --> 00:07:04,080
ุงู„ุชุบูŠูŠุฑุงุช ุงู„ู„ูŠ ุจูŠู† .. ุนู„ู‰ ุงู„ูƒู…ุจูŠูˆุชุฑ ุงู„ุขู† ูˆ ุจูŠู†
100
00:07:04,080 --> 00:07:08,500
ุฅูŠุฏุงูƒูˆุง ุชุบูŠูŠุฑุงุช ู„ููŠูุฉ ุฌุฏุงุŒ ู†ุญู†ุŸ ูู‡ุฐุง ู…ูˆุฌูˆุฏ ุนู†ุฏูƒูˆุง
101
00:07:08,500 --> 00:07:10,940
ุฃุตู„ุง ุจุณ ูŠู…ูƒู† ุจุทุฑูŠู‚ุฉ ู…ุด ู†ูุณ ุงู„ู„ูŠ ุฃู†ุง ุนุงู…ู„ู‡
102
00:07:13,930 --> 00:07:17,750
ุงู„ู…ู‡ู… ุงู„ conditions ุชุจุนูˆู†ูŠ ุงุณุชุดุงุฑุฉ ู‡ู…ุง ู†ูุณ ุงู„
103
00:07:17,750 --> 00:07:20,450
conditions ุชุจุนูˆู†ูŠ .. ุทุจุนุง ุฃู†ุง ุจู‚ุตุฏ ุนู† ู…ูŠู† ุงู„ุขู†ุŸ
104
00:07:20,450 --> 00:07:24,450
ุจุญูƒูŠ ุนู† ู…ูŠู†ุŸุนู† ุงู„ุงุฑู…ู‰ ูุงู„ conditions ุชุจุนูˆู† ุงู„
105
00:07:24,450 --> 00:07:28,410
stationary ู‡ู… ู†ูุณู‡ู… ุชุจุนูˆู† ู…ูŠู† ุงู„ stationary ุชุจุนูˆู†
106
00:07:28,410 --> 00:07:32,450
ู…ูŠู† ุงู„ุฌุฒุฆูŠุฉ ุชุจุนูŠุฉ ุงู„ auto-regressive ู‚ู„ูˆุฉ ู‡ูŠ ุงู† ุงู„
107
00:07:32,450 --> 00:07:36,310
roots ุชุจุนูˆู† ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ polynomial ุงู„ู„ูŠ ู‡ูŠ ูˆุงุญุฏ
108
00:07:36,310 --> 00:07:41,210
ู†ุงู‚ุต ููŠ ูˆุงุญุฏ of b ู„ุญุฏ ุฏูŠุช ููŠ b of b ู…ู…ูƒู† ุจุงู„ู…ู†ุงุณุจุฉ
109
00:07:41,210 --> 00:07:44,970
ุงู„ b ู‡ุฐู‡ ุงู„ู„ูŠ ุงู†ุช ุดุงูŠููŠู†ู‡ุง ู…ู…ูƒู† ุชุนุชุจุฑูˆู‡ุง x ุงู†ุช
110
00:07:44,970 --> 00:07:47,390
ุนุงุฑู ุงูŠู‡ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฎุทูŠุฉ ุงูˆ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ polynomial
111
00:07:47,390 --> 00:07:54,220
ุงู„ุฏุฑุฌูŠุฉ ู„ู„ูƒุซูŠุฑุฉ ุงู„ุญุฏูˆุฏู‡ู‡ ูุฏู‰ ูƒุฃู†ู‡ุง ูˆุงุญุฏ ู†ุงู‚ุต a x
112
00:07:54,220 --> 00:07:59,480
ุชุฑุจูŠุฉ ู†ุงู‚ุต a x ุนููˆู‹ุง ุฒูŠ a x ุชุฑุจูŠุฉ b x ุชุฑุจูŠุฉ ูˆู‡ุง
113
00:07:59,480 --> 00:08:03,940
ูƒุฏู‡ ู‡ู‡ ูุจุชุนุฑููˆุง ุชุญู„ูˆู‡ุง ูุงู„ุฑูˆุณ ุชุจุนูˆู†ู‡ุง ู„ุงุฒู… ูŠูƒูˆู†ูˆุง
114
00:08:03,940 --> 00:08:07,060
outside ุงู† ุงู„ circle ุฎุงูŠุงูƒ ุดูƒู„ ูƒุชุฑ ุทูŠุจ ุงุญู†ุง ู‡ู†ุงุฎุฏู‡
115
00:08:07,060 --> 00:08:12,400
ู‡ู†ุงุฎุฏู‡ ู‡ู†ุงุฎุฏู‡ ู‡ู†ุงุฎุฏู‡ ู…ุด ูˆู‚ุชู‡ ูŠุนู†ู‰ ุงู„ุขู† ุงู„ู…ู‡ู… ู‡ุงุฏ
116
00:08:12,400 --> 00:08:14,860
ุงู„ conditions ุชุจุนูˆู†ู‡ ู„ุงุณุชุดู†ุฑ ู†ูุณ ุงู„ conditions
117
00:08:14,860 --> 00:08:19,080
ุชุจุนูˆู†ู‡ invertibility ุจุณ ู„ุดูˆ ุณูŠุฆุฉ ู…ูŠู†ุŸุงู„ moving
118
00:08:19,080 --> 00:08:21,620
average ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ roots ุชุจุนูˆู†ูŠ ุงู„ polynomial
119
00:08:21,620 --> 00:08:28,180
high ุจุฏู†ุง ู†ุดูˆู ุงู†ู‡ ู„ุงุฒู… ูƒู„ ู‡ูŠุชู‡ู… ูŠู‚ุนูˆุง ู…ูŠู† ุฎุงุฑุฌ ุงู„
120
00:08:28,180 --> 00:08:31,820
unit ูŠุนู†ูŠ ุงูƒุจุฑ ู…ู† ุงู„ูˆุงุญุฏ ุงู„ unit circle ุฏุงุฆุฑุฉ
121
00:08:31,820 --> 00:08:38,220
ุฏูˆุฑูŠุฉ ุงู‡ ูุฎุงุฑุฌูŠ ูŠุนู†ูŠ ุงูƒุจุฑ ู…ู† ูˆุงุญุฏ ุจุงู„ู†ุณุจุฉ ู„ู„ุดุฑุท
122
00:08:38,220 --> 00:08:40,880
ุงู„ุชุงู„ุช ุงู„ุฌุฏูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ุชุจุน ุงู„ ARMA ุงู„ู„ูŠ ุจูŠุญู‚ู‚ู‡ ูŠุนู†ูŠ
123
00:08:40,880 --> 00:08:43,200
ุงู„ุดุฑุทูŠู† ุจุงุฎุชุตุงุฑ ู…ู†ู‡ู… ุงู„ู„ูŠ ู‡ูˆ stationary ูˆ
124
00:08:43,200 --> 00:08:47,590
invertibility ุนู…ู„ูŠุง ู…ู† ูˆูŠู† ุฌูŠุงุชู…ู† ุงู„ุฌุฒูŠุฉ ุชุจุน ุงู„
125
00:08:47,590 --> 00:08:50,740
autoregressiaูˆ ุงู„ moving average ูˆ ุงู„ู„ูŠ ุงุญู†ุง
126
00:08:50,740 --> 00:08:53,540
ุญุงูƒูŠู†ุง ุนู†ู‡ู… ุณุงุจู‚ุง ุจุณ ุจุฏูˆู† ู…ุง ู†ุดุฑุญู‡ู… ูˆ ู„ุญุฏ ุงู„ู„ูŠ ุงู†ุง
127
00:08:53,540 --> 00:08:56,720
ุดุฑุญู†ุงู‡ู… ู…ุด ู‡ู†ุดุฑุญู‡ู… ุงู„ุดุฑุท ุงู„ุชุงู„ุช ุงู„ู„ูŠ ุฌุงูƒูˆุง ุฌุฏูŠุฏ
128
00:08:56,720 --> 00:09:00,540
ุงู„ู„ูŠ ู‡ูˆ ุงู„ identifiable ุงู‡ ุงู„ identifiable ู‡ุฐู‡
129
00:09:00,540 --> 00:09:03,720
ุนุจุงุฑุฉ ุนู† ุงู„ุชุนุฑูŠู ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุฃุฎูŠุฑ ุงู„ูˆุงู‡ูŠุฉ ุงู„
130
00:09:03,720 --> 00:09:06,340
identifier of a condition means that the model is
131
00:09:06,340 --> 00:09:10,740
not redundant redundant ุจุงู„ุนุฑุจูŠ ุชุฑุฌู…ุฉ ุญุฑููŠุฉ ู…ุนู†ุงู‡ุง
132
00:09:10,740 --> 00:09:14,760
ุงู„ุชูƒุฑุงุฑ ุงู„ุฐูŠ ู„ุง ุฏุงุนู„ู‡ ุชูƒุฑุงุฑ ู…ู…ู„ ูŠุนู†ูŠ ู…ุงููŠุด ุฏุงุนู„ู‡
133
00:09:14,760 --> 00:09:21,710
ุชูƒุฑุงุฑ ู…ุงููŠุด ุฏุงุนู„ู‡ูŠุนู†ูŠ ุงุญู†ุง ุงู„ุขู† ุจุฏู†ุง ู†ู‚ูˆู„ ุงู„ model
134
00:09:21,710 --> 00:09:24,950
ู„ุงุฒู… ู…ุง ูŠูƒูˆู†ุด redundant ู„ุงุฒู… ู…ุง ูŠูƒูˆู†ุด model
135
00:09:24,950 --> 00:09:28,030
redundant ูŠุนู†ูŠ ููŠ ูƒุชูŠุฑ ู†ุงุณ ุจุชุชู‚ุถูŠ ุจู…ุญุงุถุฑุฉ ุจุชู‚ูˆู„ูƒ
136
00:09:28,030 --> 00:09:31,010
ุฃู†ู‡ ุฃู†ุช ุจุชุนูŠุฏ ูˆ ุจุชุฒูŠุฏ ูƒุชูŠุฑ ุฃุญูŠุงู†ุง ู…ุด ู…ุดูƒู„ุฉ ูŠุนู†ูŠ
137
00:09:31,010 --> 00:09:33,490
ู‡ุฐุง ุทูŠุจ ุฎู„ุงุต ุน ุณุจุจ ุฃู†ู‡ ุงู„ู„ูŠ ุจูŠู‚ุฑุฃ ุฃูˆ ุจูŠุดูˆู
138
00:09:33,490 --> 00:09:37,670
ุงู„ู…ุญุงุถุฑุงุช ุงู„ู…ุตูˆุฑ ูŠูƒูˆู† ูˆุงุถุญ ู„ุฅู„ู‡ ูŠู…ูƒู† ุดูˆูŠุฉ ู„ุงุฒู…
139
00:09:37,670 --> 00:09:42,230
ุงุญู†ุง ู†ุณุฑุน ูู‡ุฐุง redundant ุฃุญูŠุงู†ุง ุจุนู…ู„ ุฃู†ุง ุงู‡ ุชูƒุฑุงุฑ
140
00:09:42,230 --> 00:09:46,940
ู…ุงู„ู‡ ู„ุง ุฏุงุนูŠ ู„ุฏู‡ูˆ ู„ู‡ูˆ ุงู„ู…ู‡ู…ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„
141
00:09:46,940 --> 00:09:50,520
redundant ู‡ุฐุง ุจู†ู‚ูˆู„ ุงู†ู‡ ู„ุงุฒู… ูŠูƒูˆู† ู…ุงูŠูƒูˆู†ุด ู…
142
00:09:50,520 --> 00:09:53,540
redundant ู…ุงูŠูƒูˆู†ุด .. ู…ุงูŠูƒูˆู†ุด ุดูˆ ูŠุนู†ูŠ ู…ุงูŠูƒูˆู†ุดุŸ ูŠุนู†ูŠ
143
00:09:53,540 --> 00:09:57,820
ู„ู…ุง ู†ูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฌุฐูˆุฑ ุชุจุนูˆู† ู‡ุฐู‡ ุงู„ polynomial ูˆ
144
00:09:57,820 --> 00:10:00,860
ุงู„ุฌุฐูˆุฑ ุชุจุนูˆู† ู‡ุฐู‡ ุงู„ polynomial ู„ุงุฒู… ูŠูƒูˆู† ู…ู†ุงุชู‡ู…
145
00:10:00,860 --> 00:10:05,720
ู…ุงู„ู‡ู… ู…ุงููŠุด ู‚ูˆุงุณู… ู…ุดุชุฑูƒุฉ no common roots ู…ุงููŠุด
146
00:10:05,720 --> 00:10:09,220
ุฌุฐูˆุฑ ู…ุดุชุฑูƒุฉ ู…ู†ูŠุญุŸ ู‡ุชู†ุดูˆู ุงู„ุขู† ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ููŠ
147
00:10:09,220 --> 00:10:14,200
ุงู„ุตูุญุฉ ุงู„ู„ูŠ ุจุนุฏ ู‡ูŠูƒ ู…ุซุงู„ ุนู„ู‰ ุงู„ redundancyู…ุซุงู„ ุนู„ู‰
148
00:10:14,200 --> 00:10:16,640
ุงู† ุงู„ model ูŠูƒูˆู† redundant ูˆ ุงุญู†ุง ู…ุงุจุฏู†ุง ูŠูƒูˆู†
149
00:10:16,640 --> 00:10:22,420
redundant ุงุฐุง ุงู„ R ู„ุงุฒู… ูŠูƒูˆู† ู…ุงู„ู‡ ุชู„ุงุช ุดุฑูˆุท
150
00:10:22,420 --> 00:10:28,360
stationary, identifiable ูˆ invertible ุงุญู†ุง ุงู„ุขู†
151
00:10:28,360 --> 00:10:31,360
ุจุฏู†ุง ู†ุญูƒูŠ ุนู† ุงู„ identifiable ูˆ ู†ุฃุฌู„ ุงู„ุญุฏูŠุซ ุนู† ู…ูŠู†
152
00:10:31,360 --> 00:10:35,240
ุงู„ stationary ูˆ ุงู„ invertible ุงุญู†ุง ุญูƒูŠู†ุง ูƒุชูŠุฑ ุนู†
153
00:10:35,240 --> 00:10:40,240
ุงู„ stationary ุจุณ ุจุงู„ู…ูู‡ูˆู… ุชุจุน ุงู„ ARูˆ ุงู„ identify ูˆ
154
00:10:40,240 --> 00:10:43,340
ุงู„ .. ุนููˆุง ูˆ ุงู„ .. ุดูˆ ุงุณู…ู‡ ุงู„ invertibility ู‡ุฐูŠ
155
00:10:43,340 --> 00:10:47,620
ุจู†ู†ุฌุญ ุงู„ุญุฏูŠุซ ุนู†ู‡ ุงู„ู…ู‡ู… ูŠุง ู…ู†ุงู… ุดูˆ ุฑุฃูŠูƒูˆุง ุจุงู„ model
156
00:10:47,620 --> 00:10:52,000
ุงู„ู„ูŠ ุฃู…ุงู…ูƒูˆุง ู‡ุฐุง ุชุทู„ุนูˆู„ูŠ ุนู„ูŠู‡ ู†ุธุฑ ุฃูˆู„ู‰ ุนู„ูŠู‡ ุดูˆ
157
00:10:52,000 --> 00:10:58,160
ุจุชู‚ูˆู„ Xt ุชุณูˆู‰ ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ Xt ู†ุงุฌุณ ูˆุงุญุฏ plus
158
00:10:58,160 --> 00:11:02,020
epsilon T minus ูˆุงุญุฏ ูˆุงุญุฏ ู…ู† ุนุดุฑุฉ epsilon T minus
159
00:11:02,020 --> 00:11:06,160
ูˆุงุญุฏ plus ุชู…ุงู†ุชุงุด ููŠ ุงู„ู…ูŠุฉ epsilon T ู†ุงุฌุณ ุงุชู†ูŠู†
160
00:11:06,160 --> 00:11:11,870
ู†ุธุฑ ุฃูˆู„ู‰ ุนู„ูŠู‡ ุงุญูƒูˆุง ู„ูŠุด ุฎุงูŠููŠู†ุฃู‡ ู‡ุฐุง ุนุฑู…ู‰ ู…ูŠู†ุŸ
161
00:11:11,870 --> 00:11:17,970
ูŠุนู†ูŠ ุงู„ order ุชุจู‚ู‰ ุงู„ auto-regressive ุฌุฏูŠุด ุงู„ุฒู…ู†
162
00:11:17,970 --> 00:11:24,110
ุชุจู‚ู‰ XT ู‡ุงู†ุง ุฌุฏูŠุด ุจู†ุฒู„ ุทู„ุน T ู†ุงุฌุณ ูˆุงุญุฏ ูŠุนู†ูŠ ุงู„
163
00:11:24,110 --> 00:11:26,650
auto-regressive ุงู„ mood .. ุงู„ moving .. ุงู„ู„ูŠ ุนููˆุง
164
00:11:26,650 --> 00:11:28,990
ุงู„ู„ูŠ .. ุงู„ู„ูŠ .. ุงู„ู„ูŠ .. ุงู„ู„ูŠ ู‡ูˆ ุงู„ order ุนููˆุง ุงู„
165
00:11:28,990 --> 00:11:33,270
order ุงู„ P ูŠุนู†ูŠ ูˆุงุญุฏ ุทุจ ุงู„ .. ุงู„ moving average
166
00:11:33,270 --> 00:11:36,990
ุงุชู†ูŠู† ูŠุจุฌูŠ ู‡ุฐุง ู…ู…ูƒู† ุชุทู„ุน ุนู„ูŠู‡ ุงู„ู„ูŠ ุฌูŠู‡ ุนู„ู‰ ุงู†ู‡
167
00:11:36,990 --> 00:11:43,890
ู…ูŠู†ุŸุฃุฑู…ู‰ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ู‡ุฐู‡ ุงู„ู†ุธุฑูŠุฉ ุงู„ุฃูˆู„ู‰ ุตุญุŸ ู…ุธุจูˆุท
168
00:11:43,890 --> 00:11:48,450
ูˆู„ุง ุบู„ุทุงู†ุŸ ุทูŠุจ ู‡ุฐุง ุงู„ุขู† ุงุญู†ุง ู…ุงุจู†ุงุฎุฏูˆุด ู…ุณู„ู… ุนู„ู‰
169
00:11:48,450 --> 00:11:52,370
ุฃู†ู‡ order ูˆุงุญุฏ ูˆ ุงุชู†ูŠู†ุŒ ุฃุฑู…ู‰ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู†ุŒ ู‡ุฐุง ู…ุด
170
00:11:52,370 --> 00:11:58,670
ุฃุฑู…ู‰ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ุฅู„ุง ุจุนุฏ ู…ุง ู†ุชุญู‚ู‚ ุฃู†ู‡ ู…ุงููŠุด ูƒุซูˆุฑ
171
00:11:58,670 --> 00:12:03,700
ู‚ูˆุงุณู… ู…ุดุชุฑูƒุฉุŒ ู…ุงููŠุด roots ู…ุดุชุฑูƒุฉุทุจ ู‡ุชู†ุทู„ุน ุงู„ model
172
00:12:03,700 --> 00:12:06,860
ู‡ุฐูŠ ูŠุง ุจู†ุงุช ุชุนุฑููˆุง ุงู†ุชูˆุง ูƒูŠู ุชูƒุชุจูˆุง ุงู„ู…ุนุงุฏู„ุฉ ุจุงู„ู„ูŠ
173
00:12:06,860 --> 00:12:12,560
ู‡ูˆ ุงู„ backshift operator ู‡ุงูŠ ุชุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ู‡ุฐู‡ ู„ูˆ
174
00:12:12,560 --> 00:12:16,300
ู†ุฌู„ุชูˆู‡ุง ุนู„ู‰ ุงู„ุทุฑู ุงู„ุชุงู†ูŠ ุจุชุตูŠุฑุด ู‡ูŠูƒ ุดูƒู„ู‡ุง ุตุญุŸ ูˆุงุญุฏ
175
00:12:16,300 --> 00:12:21,820
ู†ุงุฌุณ ุชุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ุงูŠุดุŸ BXT ู…ุตุจูˆุนุŸูˆุงู„ู†ุณุจุฉ ู„
176
00:12:21,820 --> 00:12:25,800
epsilon T ู‡ุฐู‡ ู„ูˆ ูƒุชุจุชู‡ุง ู…ุถุฑูˆุจุฉ ููŠ ุงู„ุฌุซ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
177
00:12:25,800 --> 00:12:30,960
ูˆุงุญุฏ ู†ุงุฌุณ ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ู…ู† ุนุดุฑุฉ ุชู…ุงู†ุชุงุด ู‡ุฐุง ู‡ูŠ ู…ุธุจูˆุท
178
00:12:30,960 --> 00:12:33,860
ุจ ุชุฑุจูŠุน ุจุชุตูŠุฑ epsilon T ุงุฐุง ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ุงู†ุชูˆุง
179
00:12:33,860 --> 00:12:38,840
ุดุงูŠููŠู†ู‡ ุงู†ูƒุชุจ ู‡ูŠูƒ ูˆู„ุง ุบู„ุทุงู† ุจุงู„ู„ู‡ ุนู„ูŠูƒ ุชุชุทู„ุนูˆู„ูŠ
180
00:12:38,840 --> 00:12:45,760
ุนู„ู‰ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุงูˆ ู‡ุฐุง ุงู„ุฌุซ ุจุชุญู„ู„ ุงู„ู‰ ุนูˆุงู…ู„ุจุชู‚ููˆุง
181
00:12:45,760 --> 00:12:49,480
ุชุญู„ู„ูˆุง ู…ุนุงุฏู„ุฉ ุชุฑุจูŠุนูŠุฉ ู„ุนูˆุงู…ู„ู‡ุง ุจุชุญู„ู„ุŸ ู…ุด ุฏุงูŠู…ุง
182
00:12:49,480 --> 00:12:54,940
ู…ุนุงุฏู„ุฉ ุชุฑุจูŠุนูŠุฉ ุจุชุชุญู„ู„ ุตุญุŸ ุจุชุชุญู„ู„ุŸ ุงู‡ ุงู„ .. ุงู‡
183
00:12:54,940 --> 00:13:00,400
ุงู„ู‚ุงู†ูˆู† ุงู„ุนุงู… ุจุชุญู„ู„ ุดูƒู„ู‡ ุฅู„ู‰ ูˆูŠู†ุŸ ูˆุงุญุฏ ู‡ุฏุง ู‡ูŠ
184
00:13:00,400 --> 00:13:04,620
ุงู„ุฌุซูŠู† ู‡ุฏูˆู„ ุฅุฐุง ุงู„ุฌุซ ู‡ุฐุง ุงู„ู„ูŠ ุงุณู…ู‡ ูˆุงุญุฏ ู†ุงุฌุณ ุชู†ูŠู†
185
00:13:04,620 --> 00:13:07,540
ู…ู† ุนุดุฑุฉ ุจูŠู‡ ู…ุถุฑูˆุจุง ููŠ ูˆุงุญุฏ ู†ุงุฌุณ ุชุณุนุฉ ู…ู† ุนุดุฑุฉ ููŠ
186
00:13:07,540 --> 00:13:10,860
ุจูŠู‡ ู‡ุฏูˆู„ ุงู„ุฌุซูŠุฉ ุงู„ู„ูŠ ุจู†ุงุช ู„ูˆ ุถุฑุจุชู‡ู… ุนู…ู„ูŠุง ุจูŠุนุทูˆูƒูˆุง
187
00:13:10,860 --> 00:13:14,990
ู…ูŠู†ุŸุงู„ู„ูŠ ู‡ูŠ ุงู„ุฌุซุฉ ู‡ุฏุง ุงู„ู„ูŠ ู‡ูˆ ูˆุงุญุฏ ู†ุงุฌุณ ูˆุงุญุฏ ูˆุงุญุฏ
188
00:13:14,990 --> 00:13:19,730
ุตุญ ุจูŠู‡ ุฒูŠ ุงู„ุชู…ู†ุชุงุด ุจูŠู‡ ุชุฑุจูŠู‡ ู…ู†ูŠุญ ุทูŠุจ ุจุนุฏ ู…ุง ุญู„ู„ุชู‡
189
00:13:19,730 --> 00:13:22,910
ุงู„ู„ูŠ ู‡ูˆ ุดูˆ ุฑุงูŠูƒูˆุง ุชุทู„ุนูˆุง ููŠ ุงู„ู…ุนุงุฏู„ุฉ ูƒูŠู ุดูƒู„ ุตุงุฑู‡ุง
190
00:13:22,910 --> 00:13:27,610
ุดูƒู„ุช .. ูƒูŠู ุงูŠุดุŸ ุดูƒู„ู‡ุง ุตุงุฑ ุงูŠู‡ ู†ุนู… ูƒูŠู ุดูƒู„ู‡ุง ุตุงุฑ
191
00:13:27,610 --> 00:13:34,880
ุงู‡ ู‡ู„ุฃ ูƒุงู†ุช ู‡ูŠ ู‡ูŠูƒ ูˆ ุฃุตุจุญุช ุงู„ุขู† ู‡ูŠูƒ ุงูŠุด ู‚ู„ุชูŠู†ุŸุงู‡
192
00:13:34,880 --> 00:13:38,720
ู‡ุฐุง ูˆุงุถุญ ุงู†ู‡ ุจูŠุฑูˆุญ ู…ุน ู‡ุฐุง ุงู„ุญุฏ ู‡ุฐุง ุงู„ุญุฏ cancelling
193
00:13:38,720 --> 00:13:43,440
from both sides ู…ุธุจูˆุท ูŠุง ุจู†ู‡ุงุŸ ุตูุฉ ุงู„ู…ุนุงุฏู„ุฉ ุดูˆ
194
00:13:43,440 --> 00:13:50,380
ุงู„ุขู†ุŸ XT ุชุณุงูˆูŠ ูˆุงุญุฏ ู†ุงุฌุณ ุชุณุนุฉ ู…ู† ุนุดุฑุฉ B ููŠ ูŠุงุจุณูˆู†
195
00:13:50,380 --> 00:13:56,600
T ู…ูŠู† ู‡ุงูŠุŸ moving average of order ูˆุงุญุฏ ุฅุฐุง ู‡ุฐูŠ MA
196
00:13:56,600 --> 00:14:02,540
ูˆุงุญุฏ ุทุจุนุง ูŠุนู†ูŠ ู‡ูŠ ุจุงู„ุญุงู„ุฉ ู‡ุฐูŠ ุชุนุชุจุฑ R ู…ุฒูŠุฑ ูˆ ูˆุงุญุฏ
197
00:14:02,540 --> 00:14:08,600
ุตุญุŸูŠุนู†ูŠ ุงู„ model ุจุทู„ ูŠุง ุจู†ุงุช ุงุฑู…ู‡ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู†
198
00:14:08,600 --> 00:14:12,920
ุนู…ู„ูŠุงุŒ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุทู„ุน ุจุงู„ุงุฎูŠุฑุŒ ูŠุนู†ูŠ ู‡ุฐุง ุงู„
199
00:14:12,920 --> 00:14:17,620
model ุงู„ู„ูŠ ุฃู…ุงู…ูŠ ู‡ูŠู‡ ุงู„ุขู† ุจุงู„ mouse ู‡ูˆ ุนู…ู„ูŠุง ู…ุด
200
00:14:17,620 --> 00:14:22,780
ู‡ูŠูƒ ุดูƒู„ู‡ุŒ ู‡ูˆ ุตุฑุงุญุฉ ู‡ูŠูƒ ุดูƒู„ู‡ุŒ ููƒุงู† ููŠ redundancyุŒ
201
00:14:22,780 --> 00:14:27,120
ูƒุงู† ููŠ ุชูƒุฑุงุฑ ู„ุง ุฏุงุนูŠ ู„ู‡ู…ุตุจูˆุทุŸ ูŠุนู†ูŠ ู‡ู„ ู‡ุฐุง ุงู„ model
202
00:14:27,120 --> 00:14:31,880
ุจูŠุญู‚ู‚ ุดุฑุท ุงู„ identifiableุŸ no ู…ุญู‚ู‚ุด ูŠุจู‚ู‰ ู…ุด ARMA
203
00:14:31,880 --> 00:14:38,040
ู‡ุฐุงุŒ ู‡ุฐุง ุนู…ู„ูŠุง moving average ุชู…ุงู…ุŸ ูˆู‡ุฐุง ุงู„ู„ูŠ ุงุญู†ุง
204
00:14:38,040 --> 00:14:41,680
ุดุงูŠููŠู†ู‡ ู…ุซู„ุง ู…ู…ูƒู† ู†ุดูˆููˆู‡ุง ุจุงู„ homework ุจูƒููŠ ู…ุซู„
205
00:14:41,680 --> 00:14:47,350
ุงู„ูˆุงุญุฏ ุงุนุชู‚ุฏ ุตุญุŸ ูˆู„ุง ููŠ ุงูŠ ุณุคุงู„ุŸุทูŠุจ ู‡ุฐุง ุงู„ุขู† ู…ุซุงู„
206
00:14:47,350 --> 00:14:52,110
ุนู„ู‰ ุฃู†ู‡ ุงู„ุฃุฑู…ู‰ ู…ุง ุชู†ุบุดูŠุด ู„ู…ุง ุชุดูˆููŠู‡ ู„ุงุฒู… ุงู„ุขู†
207
00:14:52,110 --> 00:14:55,370
ุชุญู„ู„ูŠู‡ ุชุดูˆููŠู‡ ุจุชุญู„ู„ ุนูˆุงู…ู„ ู…ุดุชุฑูƒุฉ ูˆ ู„ุง ุจุชุญู„ู„ ุจูŠ
208
00:14:55,370 --> 00:14:58,510
cancelูˆุง ุจุนุถ ู‡ู„ ู‡ูˆ ุจุงู„ุงุฎูŠุฑ ู…ุงููŠุด ุฅุด cancellation
209
00:14:58,510 --> 00:15:01,550
ูŠุนู†ูŠ ุจูŠุตู ุฒูŠ ู…ุง ู‡ูˆ ุจุฏูˆู† cancellation ูŠุนู†ูŠ ู‡ูˆ ูุนู„ุง
210
00:15:01,550 --> 00:15:06,070
ุฃุฑู…ู‰ ูˆ ู„ุง ุจู†ุฒู„ ุฅู„ู‰ ุฅุด ุชุงู†ูŠ ุบูŠุฑ ุงู„ุฃุฑู…ู‰ ูŠุนู†ูŠ ู…ู…ูƒู†
211
00:15:06,070 --> 00:15:10,870
ูŠูƒูˆู† ุฃุฑู…ู‰ 2 ูˆ 1 ุนู…ู„ูŠุง ุชู„ุงู‚ูŠ ู…ุด ุฃุฑู…ู‰ 2 ูˆ 1 ุฃุฑู…ู‰ 1 ูˆ
212
00:15:10,870 --> 00:15:16,280
1ูู‡ู…ุชูˆู† ุฅูŠู‡ุŸ ุจู‚ู‰ ู„ู…ุง ุช cancel ุญุฏูˆุฏ ุชู„ุงู‚ูˆุง R ู…ุงุนูŠุด
213
00:15:16,280 --> 00:15:20,200
ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ุฃูˆ ุชู„ุงู‚ูˆุง auto-regressive ุฃูˆ ุฒูŠ ุงู„ู…ุซุงู„
214
00:15:20,200 --> 00:15:24,870
ุงู„ู„ูŠ ุฃู…ุงู…ูŠ ู‡ูŠ ูŠุทู„ุน ู…ู†ูŠ moving averageุดูˆููˆุง ุงู„
215
00:15:24,870 --> 00:15:28,570
slide ุงู„ู„ูŠ ุฃู…ุงู…ู†ุง ู‡ุฐู‡ ุงุณุชูƒู…ุงู„ุง ู„ู…ุง ุจุฏุฃู†ุงู‡ ุจุงู„ R
216
00:15:28,570 --> 00:15:33,270
code ุณุงุจู‚ุง ูŠุนู†ูŠ ุงุญู†ุง ู„ูˆ ุจุฏู†ุง ู†ุนู…ู„ simulation ููŠ
217
00:15:33,270 --> 00:15:35,890
ุงุณุชุฎุฏุงู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ function ุงู„ู„ูŠ ุงุณู…ู‡ุง RimaSim
218
00:15:35,890 --> 00:15:41,370
ูˆู…ุณุชุฎุฏู…ูŠู† ู‡ุฐุง ุงู„ seed ุฐุงุช ู†ูุณู‡ ุชู…ุงู… ุจูŠุทู„ุนู„ูŠ ู…ุฌุฑุฏ
219
00:15:41,370 --> 00:15:44,890
ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ู‡ุฐู‡ ู‡ูŠ ุฑุณู…ุฉ ู…ู† ู…ู„ูŠุงุฑุงุช ุงู„ุฑุณู…ุงุช
220
00:15:44,890 --> 00:15:49,130
ุงู„ู„ูŠ ู…ู…ูƒู† ุชุทู„ุน ู…ุนุงูŠุง ู…ุนุงูŠุง ุงู†ุชูˆุงุŸุงู†ู‡ ุงู†ุง ุจุณ ุงู„ู‡ุฏู
221
00:15:49,130 --> 00:15:53,710
ู…ู† ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ code ู…ุด ุนุดุงู† ุงูˆุฑูŠูƒูˆุง ู†ู…ุท ุงู„ู‚ุฑู…
222
00:15:53,710 --> 00:15:57,430
ูƒูŠู ุจูŠูƒูˆู† ุดูƒู„ู‡ุง ููŠ ุงู„ุณู„ุณู„ุฉ ุจู‚ุฏุฑ ู…ุง ุงูˆุฑูŠูƒูˆุง ุงู„ code
223
00:15:57,430 --> 00:16:00,770
ุงู„ู„ูŠ ู…ู…ูƒู† ุชุณุชุฎุฏู…ูˆู‡ ููŠ ู…ูŠู† ููŠ ู…ุจุนุฏ ููŠ ุงู„ simulation
224
00:16:00,770 --> 00:16:04,090
ุงู„ู†ุงุณ ุงู„ู„ูŠ ุญุงุจุฉ ุชูƒู…ู„ ูˆ ุจุฏู‡ุง ุชุนู…ู„ simulation ูˆ
225
00:16:04,090 --> 00:16:07,410
ู‡ุชุณุชุฎุฏู… ุงู„ simulation ุจุดูƒู„ ูƒุจูŠุฑ ุฌุฏุง ูู‡ุฐุง ุงู„ code
226
00:16:07,410 --> 00:16:10,890
ู…ู…ูƒู† ูŠููŠุฏูƒูˆุง ุจูŠู‡ ุนุดุงู†ูƒุจุฏุงูŠุฉ ูุงู†ุชูˆุง ุฒูŠ ู…ุง ุงู†ุชูˆุง
227
00:16:10,890 --> 00:16:13,990
ุดุงูŠููŠู† ู‡ู†ุง ุนู†ุฏูŠ ุฃุฑู…ู‰ ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ู‡ูŠู‡ุง ุงู„ process
228
00:16:13,990 --> 00:16:18,650
ู‡ูŠู‡ุง Xt ุชุณุงูˆูŠ ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ Xt ู†ุงุฌุณ ูˆุงุญุฏ ุฒุงุฏ
229
00:16:18,650 --> 00:16:22,010
epsilon T ู†ุงุฌุณ ู…ุฌุฑุฏ ู…ู† ุนู†ุฏูŠ ุงู„ุฃุฑู‚ุงู… ู‡ุฐู‡ ูƒู…ุงู† ุฃูŠุถุง
230
00:16:22,010 --> 00:16:25,850
ูŠุนู†ูŠ ุงู„ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ูˆุงู„ุณุชุฉ ู…ู† ุนุดุฑุฉ ุจุงู„ุณุงู„ุจ ู‡ุฐู‡
231
00:16:25,850 --> 00:16:31,190
ู…ู†ูŠุญ ู…ุฌุฑุฏ ุฃุฑู‚ุงู… ูุงู„ code ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…ูˆู‡ ุงู„ูˆุงุญุฏ ู‡ู†ุง
232
00:16:31,190 --> 00:16:35,030
ุฃู† ุทูˆู„ ุงู„ุณู„ุณู„ุฉ ุชุณุงูˆูŠ 200 ู…ู…ูƒู† ุชุบูŠุฑูŠู‡ุง ู…ู…ูƒู† ู…ูŠุฉ
233
00:16:35,030 --> 00:16:39,830
ู…ู…ูƒู† ุชู„ุงุชู…ูŠุฉ ุฃูŠ series ุจุฏูƒูŠู‡ุง ุทูˆู„ุงู„ order ู‡ู†ุง ูˆุงุญุฏ
234
00:16:39,830 --> 00:16:45,080
ุตูุฑ ูˆุงุญุฏุŒ ู…ุตุจูˆุญุŸ ู‡ู„ุฃ ูˆุงุญุฏ ู„ู…ูŠู† ู‡ุฐุงุŸู„ู„ auto
235
00:16:45,080 --> 00:16:48,080
-regressive ูˆ ุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ูˆุงุฎุฑุงู†ูŠุง ู„ู„ moving
236
00:16:48,080 --> 00:16:50,980
average ูˆ ู‡ุฐู‡ ู‡ุชูƒูˆู† ููŠู…ุง ุจุนุฏ ุงู„ zero ู„ู„
237
00:16:50,980 --> 00:16:55,860
differencing ู„ู„ ู‚ุฑูŠู…ุฉ ู…ุด R ู…ุง ู‚ุฑูŠู…ุฉ ู„ู…ุง ู†ุญูƒูŠ ุนู†
238
00:16:55,860 --> 00:16:59,040
ู‚ุฑูŠู…ุฉ ุทุจุนุง ุงู„ auto-regressive ุฌุฏุงุด ุงู„ู„ูŠ ู‡ูˆ ุงู„
239
00:16:59,040 --> 00:17:03,600
parameter ุชุจุนู‡ ู‡ูŠ AR ุฌุฏุงุด ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ูˆ ุฌุฏุงุด ุงู„
240
00:17:03,600 --> 00:17:08,160
moving average ุณุงู„ุจ ุณุชุฉ ู…ู† ุนุดุฑุฉ ูˆ ู‡ูŠู† ุฑุณู…ู†ุงู‡ุง ูˆ
241
00:17:08,160 --> 00:17:11,960
ููŠู…ุง ุจุนุฏ ุงู† ุดุงุก ุงู„ู…ูˆู„ู‰ ู‡ู†ุฌูŠ ู†ุดุฑุญู„ูƒูˆุง ูƒูŠู ู†ุชูˆู‚ุน
242
00:17:11,960 --> 00:17:17,320
ุฑุณู…ุฉ ุงู„ ACFูˆูƒูŠู ุฑุณู…ุช ุงู„ B A C F ูˆู„ูƒู† ุจุณุฑุนุฉ ุดุฏูŠุฏุฉ
243
00:17:17,320 --> 00:17:21,220
ูŠุง ุจู†ุงุช ุงู„ู‰ ูˆู‚ุชู‡ุง ุงู†ุง ุงู‚ูˆู„ูƒูˆุง ุจู†ุชูˆู‚ุน ุงู„ moving A
244
00:17:21,220 --> 00:17:25,540
ููŠ ุงู„ุงุฑู…ุฉ ุนููˆุง ููŠ ุงู„ุงุฑู…ุฉ ู„ู…ุง ู†ุฑุณู… ุงู„ A C F ูˆ ู„ู…ุง
245
00:17:25,540 --> 00:17:29,500
ู†ุฑุณู… ุงู„ partial C A C F ู†ุฌุฏ ุงู†ู‡ ููŠ ุนู†ุฏู‰ decline
246
00:17:29,500 --> 00:17:33,340
exponentially ุจุชุนุฑู ุฑุณู…ุฉ ุงู„ exponential ุงู„ู„ู‰ ุฒูŠ ู‡ูŠ
247
00:17:33,340 --> 00:17:38,340
ุทู„ุน ุงู„ู…ุงูˆุณ ู‡ูŠูƒ ุดุงูŠููŠู† ู‡ูŠู‡ูŠูƒ ูŠุนู†ูŠ ุงู†ุง ู…ู…ูƒู† ุงุฑุณู…ู‡ุง
248
00:17:38,340 --> 00:17:41,840
ุนู„ู‰ ู„ูˆุญ ุฒูŠ ูƒุฏู‡ ุงู†ุง ุจุตุฑุงุญุฉ ุญุงุจุจ ุงุนูŠุด ุงู„ุญุฏูŠุซ ุจุณ
249
00:17:41,840 --> 00:17:47,520
ุจู†ู„ุงู‚ูŠ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฏูˆู„ ุจู†ุฒู„ูˆุง ุจุงู„ุดูƒู„ ู‡ุฐุง ู…ู†ูŠุญุŸ ุงู‡
250
00:17:47,520 --> 00:17:52,340
ู…ู…ูƒู† ุชู„ุงู‚ูŠู‡ู… ุจู†ุฒู„ูˆุง ุจุณ ุจุดูƒู„ ู…ุชุฐุจุฐุจ ูŠุนู†ูŠ ู…ุซู„ุง ู‡ุฐุง
251
00:17:52,340 --> 00:17:56,920
ุจู†ุฒู„ ู‡ูŠูƒ ุจุนุฏูŠู† ู‡ุฐุง ู‡ูŠูƒ ุจุนุฏูŠู† ู‡ุฐุง ุชู„ุงู‚ูŠ ู‡ูŠูƒ ุจุนุฏูŠู†
252
00:17:56,920 --> 00:18:01,660
ุงู‡ ูŠุนู†ูŠ ุจู†ุฒู„ ู‡ูŠูƒ ุจุนุฏูŠู† ุงูŠุด ูƒุฃู†ู‡ ุจู†ุฒู„ ู‡ูˆ ุจุดูƒู„ ู‡ูŠูƒ
253
00:18:01,660 --> 00:18:07,320
ุจุณ ู…ุงุดูŠ ู…ู† ุงู„ุฌู‡ุชูŠู† ู…ุงุดูŠุŸุทุจุนุง ูู‰ ุงู„ุญุงู„ุฉ ุงู„ุงุฑู…ู‰
254
00:18:07,320 --> 00:18:16,040
model ูู‰ ุงู„ุงุฑู…ู‰ ุงู„ู„ู‰ ู‡ู‰ P ูˆ Q ุทุจุนุง ูู‰ ุงู„ ACF ุฃูˆ
255
00:18:16,040 --> 00:18:17,480
ุงู„ุจุงุดุง ุงู„ ACF
256
00:18:19,910 --> 00:18:22,610
ุทุจุนุง ุงู„ decline ู‡ุฐุง ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ุงู„ tail-off
257
00:18:22,610 --> 00:18:27,150
ุจูŠุณู…ูˆู‡ tail-off ุจุนุฏ ู…ุง ูŠุฌูŠุด B minus ุงู„ Q ูˆ ู‡ุฐู‡ ุจุนุฏ
258
00:18:27,150 --> 00:18:31,210
ู…ุง Q minus ุงู„ B ุจุตุฑุงุญุฉ ุงู†ุง ุญุงุจุจ ุงู„ B ุทุจุนุง ู‡ุฏูˆู„ ุงู„
259
00:18:31,210 --> 00:18:35,030
orders ุงู„ู„ูŠ ู‡ูˆ ุงู„ decline ุจูŠุจู„ุด ูŠู†ุฒู„ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช
260
00:18:35,030 --> 00:18:40,610
ู…ุซู„ุง ู‡ุฐู‡ ุชู„ุงุชุฉ ูˆ ู‡ุฐู‡ ูˆุงุญุฏ ูุชู„ุงุชุฉ ู†ุงู‚ุต ูˆุงุญุฏูุฅุฐุง ู‡ุฐุง
261
00:18:40,610 --> 00:18:44,030
ุนู†ุฏ ุงู„ lag zero ู…ุซู„ุง ุนู†ุฏ ุงู„ lag ูˆุงุญุฏ ุนู†ุฏ ุงู„ lag
262
00:18:44,030 --> 00:18:49,530
ุงุชู†ูŠู† ุจุนุฏ ุงู„ุชู†ูŠู† ูŠุง ุจู„ุงุช ุจูŠุนู…ู„ ุงู„ decline ูŠุนู†ูŠ
263
00:18:49,530 --> 00:18:53,090
ู…ู…ูƒู† ูŠูƒูˆู† ู‡ุฐุง ู‡ูŠูƒ ุทุงู„ุน ูˆ ู‡ุฐุง ูุงู‡ู…ุชูˆู† ูŠุนู†ู‰ุŸ ูŠุนู†ูŠ
264
00:18:53,090 --> 00:18:58,770
ูƒูŠู ูƒู…ุงู† ู…ุฑุฉ ุฃู†ุง ุดูˆูุช ุญุงู„ุฉ ูŠุนู†ูŠ ู…ุถุทุฑ ุงู† ุงุดุฑุญู‡ ุจุณ
265
00:18:58,770 --> 00:19:03,130
ุชู„ุงู‚ูˆุง ู‡ุฐุง ุนู†ุฏ ุงู„ ูˆุงุญุฏ ู‡ุฐุง ุทุจุนุง ูˆุงุญุฏ ุงู†ุชูˆุง ุนุงุฑููŠู†ู‡
266
00:19:03,130 --> 00:19:08,930
ACFุนู†ุฏ ุงู„ lag zero ุฏุงุฆู…ุง ู…ุงู„ู‡ุŸ ูˆุงุนุฏุŒ ู…ุนุฑูˆูุŒ ุนู†ุฏ
267
00:19:08,930 --> 00:19:12,370
ุงู„ูˆุงุญุฏ ู…ุซู„ุง ู…ู…ูƒู† ุชู„ุงู‚ูˆู‡ ูƒุฏู‡ุŒ ุจุนุฏูŠู† ู‡ุฐุง ู…ู…ูƒู† ุงูˆ ู‡ูŠูƒ
268
00:19:12,370 --> 00:19:16,150
ุงู‚ู„ ุดูˆูŠุฉุŒ ู…ู…ูƒู† ู‡ุฐุง ุงูƒุชุฑุŒ ุซู… ุจุนุฏ ุฐู„ูƒ ุนู†ุฏ ุงู„ lag
269
00:19:16,150 --> 00:19:19,590
ุชู„ุงุชุฉ ู…ู…ูƒู† ุชู„ุงู‚ูˆู‡ ู…ุซู„ุง ู‡ูŠูƒ ุงูˆ ุงูƒุชุฑ ุดูˆูŠุฉ ุงูˆ ุงู‚ู„ุŒ
270
00:19:19,590 --> 00:19:23,510
ุจุนุฏ ู‡ูŠูƒ ุจุชู„ุงู‚ูˆู‡ ู…ุงู„ู‡ ุงู„ decline ู‡ูŠูƒุŒ ู…ู† ุงูŠู‡ุŸ ุญุณุจ
271
00:19:23,510 --> 00:19:26,610
ุงู„ู„ูŠ .. ู‡ุฐุง ุทุจุนุง theoreticallyุŒ theoreticallyุŒ ุดูˆ
272
00:19:26,610 --> 00:19:30,050
ูŠุนู†ูŠ theoreticallyุŸุจุดูƒู„ ู†ุธุฑูŠ ู„ูƒู† ุนู…ู„ูŠุฉ ู…ุด ู‡ู„ุงุฌูŠู‡
273
00:19:30,050 --> 00:19:33,650
ููŠ ุงู„ู„ูŠ ู‡ูŠุด ุจุดูƒู„ ูˆุงุถุญ ู…ุฆุฉ ุจุงู„ู…ุฆุฉ ููŠ ุดูˆูŠุฉ ุฎู„ูŠู†ุง
274
00:19:33,650 --> 00:19:38,590
ู†ู‚ูˆู„ violation ููŠ ุดูˆูŠุฉ ูŠุนู†ูŠ ูƒุณุฑ ู„ู„ู‚ุงุนุฏุฉ ู‡ุฐู‡ ุงู„ู…ู‡ู…
275
00:19:38,590 --> 00:19:42,490
ุงุญู†ุง ู‡ู†ู‚ุฌู„ ุญุฏูŠุซ ุนู†ู‡ ุจุณ ู‡ุฐุง ุงู„ code ุงู„ู„ูŠ ุฃู…ุงู…ูƒูˆุง ุงู„
276
00:19:42,490 --> 00:19:46,850
code ุงู„ุชุงู†ูŠ ุจูŠุนู…ู„ ู…ูŠู† simulation R mark ุชู†ูŠู† ูˆ
277
00:19:46,850 --> 00:19:49,550
ูˆุงุญุฏ ูˆู‡ูŠ ุงู„ code ู‡ุฐู‡ ู„ุงุฒู… ุชูƒูˆู† ูŠุง ุจู†ุงุช ุงู„ order
278
00:19:49,550 --> 00:19:54,430
ุชุจุน ุงู„ list ู‡ุฐูŠ ู…ูŠู† ู‡ูˆุŸ ุงุชู†ูŠู† ุณูุฑ ูˆุงุญุฏ ุงู„ author
279
00:19:54,430 --> 00:19:58,400
regressive ู‡ูŠูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ููŠ vector ู‡ูŠูˆู†ูŠุญุŸ
280
00:19:58,400 --> 00:20:04,780
ูˆู‡ูŠ ุงู„ code ุฃู…ุงู…ู†ุงุŸ ุทูŠุจ ุฃู†ุง ู…ุด ุญุงุจุจ ุฃู†ูŠ ุงู†ุง ุงุถูŠุน
281
00:20:04,780 --> 00:20:07,940
ูˆู‚ุช ููŠ ู‡ุฐุง ุงู„ูƒู„ุงู… ู„ุฃู†ู‡ ู…ุด ู‡ูŠุถูŠู ุฅุฐูŠุฉ ุฃุถุงูุฉ ุจู‚ุฏุฑ ู…ุง
282
00:20:07,940 --> 00:20:12,540
ุฃู†ู‡ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ุจูŠู† ุฅูŠุฏูŠูƒูˆุง .. ู…ูˆุฌูˆุฏุฉ ุตุญุŸ ู…ูˆุฌูˆุฏุฉ ุฏู‡
283
00:20:12,540 --> 00:20:16,280
ู…ุจุฏูˆู† ุฃูŠ ุชุบูŠูŠุฑ ูุฎู„ูŠู†ูŠ ุฃู†ุง ุดูˆูŠุฉ ุฃูˆุฑูŠูƒูˆุง ุจุนุฏูŠู† .. ูˆ
284
00:20:16,280 --> 00:20:19,540
ู‡ุฐุง ุทุจุนุง ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู‡ูˆ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ุฎู„ูŠู†ูŠ ุฃุจู„ุด
285
00:20:19,540 --> 00:20:21,940
ููŠ ู…ูˆุถูˆุน ุฌุฏูŠุฏ .. ุชูุถู„
286
00:20:26,320 --> 00:20:29,280
ู…ู…ูƒู† ุงู‡ ู…ุง ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ูƒู†ุช ุจุฏู‡ ุงุญุงูˆู„ ุงู†ูŠ ุงู…ู‡ุฏ
287
00:20:29,280 --> 00:20:36,260
ู„ูŠู„ู‡ ุนู„ู‰ ุงู„ู„ูˆุญ ู…ู† ุฎู„ุงู„ ุงู†ู‡ ุฑุณู…ุฉ ุงู„ ACF ุฑุณู…ุฉ ุงู„ ACF
288
00:20:36,260 --> 00:20:39,680
ู‡ุฐู‡ ูˆ ุงู„ partial ACF ุงู„ู„ูŠ ู‡ูŠ ุงู„ partial
289
00:20:39,680 --> 00:20:44,120
autocorrelation function ุฑุณู…ุชูŠู† ู‡ุฏูˆู„ุฉ ุจูŠุนุทูˆู†ูŠ
290
00:20:44,120 --> 00:20:50,180
ุงู†ุทุจุงุน ููŠ ู…ุจุนุฏ ุนุดุงู† ุงุนู…ู„ modeling ู„ู„ุงุฑู…ุฉ ูุฌุฏุด ุงู„
291
00:20:50,180 --> 00:20:55,810
order ุงู„ู„ูŠ ู…ู…ูƒู† ูŠูƒูˆู†ูู„ูˆ ุฃู†ุง ุทู„ุนุช ุนู„ู‰ ุฑุณู…ุฉ ุงู„ ACF ูˆ
292
00:20:55,810 --> 00:21:00,530
ุน ุงู„ partial ACF ูุจุชุฎู„ูŠู†ูŠ ุฃู†ุง ุงู†ุทุจุงุน ู…ุจุฏุฃูŠ ูˆ ู„ูŠุณ
293
00:21:00,530 --> 00:21:05,390
ุขูŠุฉ ููŠ ุงู„ู‚ุฑุขู†ุŒ ูŠุนู†ูŠ ู…ุด ุฅุดูŠ ู…ู‚ุฏุณุŒ ุงู†ุทุจุงุนูŠ ุฃู† ู‡ุฐุง ุงู„
294
00:21:05,390 --> 00:21:08,510
model ู‚ุฏ ูŠูƒูˆู† autoregressive 1 ูˆ 1ุŒ ู‚ุฏ ูŠูƒูˆู†
295
00:21:08,510 --> 00:21:12,930
autoregressive 2 ูˆ 1ุŒ ู‚ุฏ ูŠูƒูˆู† ุฃูˆ ู‚ุฏ ูŠูƒูˆู† moving
296
00:21:12,930 --> 00:21:17,690
averageู‚ุฏ ูŠูƒูˆู† auto-regressive ู„ุญุงู„ู‡ ูˆ ู„ุฐู„ูƒ ุดูˆ
297
00:21:17,690 --> 00:21:22,110
ุจู†ุนู…ู„ ุงุญู†ุง ุบุงู„ุจุงุŒ ุจู†ุนู…ู„ ุงู„ู„ูŠ ุดุงูƒูŠู† ููŠู‡ุŒ ุงู†ุช ุดุงูƒู‡
298
00:21:22,110 --> 00:21:24,650
ููŠ ุฃุฑุจุน model ู‚ุฏ ูŠูƒูˆู†ุŒ ู‚ุฏ ูŠูƒูˆู†ุŒ ู…ุด ุฃู†ูŠ ุจู‚ูˆู„ ู‚ุฏ
299
00:21:24,650 --> 00:21:28,250
ูŠูƒูˆู†ุŒ ูุจู†ุนู…ู„ู‡ู… ุงู„ู„ูŠ ู‚ุฏ ูŠูƒูˆู† ู‡ุฏูˆู„ุฉุŒ ุงู„ุฃุฑุจุน modelุŒ
300
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ุงู„ู„ูŠ ู‡ูˆ ุฃุฑู…ู‰ ูˆุงุญุฏ ูˆุงุญุฏุŒ ุฃุฑู…ู‰ ุงุชู†ูŠู† ูˆุงุญุฏุŒ ุงู„ู„ูŠ ุงู†ุช
301
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ุดุงูƒู‡ ููŠู‡ุŒ moving average of ูˆุงุญุฏุŒ moving average
302
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of ุงุชู†ูŠู†ุŒ ุจุชุนู…ู„ูŠู‡ู… ูƒู„ู‡ู…ุซู… ุจุนุฏ ุฐู„ูƒ ู…ู† ูƒู„ ู‡ุฏูˆู„ ุงู„
303
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models ุจุชุฎุชุงุฑูŠ model ูˆุงุญุฏ ูู‚ุท ุงู„ู„ูŠ ุจูŠุญู‚ู‚ ููŠ ู…ุจุงู‡ุฉ
304
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ุดุฑูˆุท ุงู„ู„ูŠ ู‡ูŠ ุงู„ selection ุนู„ู‰ ูˆ ู‡ูˆ ุงู„ุฃูุถู„ model ู…ู†
305
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ุฎู„ุงู„ ู…ูู‡ูˆู… ููŠ ู…ุจุงู‡ุฉ ุงุณู…ู‡ ุงู„ BIC ูˆ ุงู„ AIC ุงู„
306
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selection modelุงู„ู„ูŠ ุจุงู„ุฅู†ู‚ู„ูŠุฒูŠ ุจูŠุณู…ูˆู‡ุง
307
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persimmonius modelุŒ ุงู„ model ุงู„ู„ูŠ ุจูŠูƒูˆู† ุจุฎูŠู„ ููŠ ุงู„
308
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.. ู‡ูŠูƒ ุงู„ุชุฑุฌู…ุฉ ุงู„ุนุฑุจูŠุฉ ุทุจุนุงุŒ ุณูŠุจูŠู†ุง ู…ู† ุงู„ุนุฑุจ ..
309
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ุงู„ุชุฑุฌู…ุฉ ุงู„ุนุฑุจูŠุฉ ุงู„ persimmonius ูŠุนู†ูŠ ุงู„ model ุงู„ู„ูŠ
310
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ู…ุงูŠูƒูˆู†ุด ููŠู‡ ุนุดุฑูŠู† parameterุŒ ูƒู„ ู…ุง ุตุบุฑ ูƒู„ ู…ุง ูƒุงู†
311
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ุฃุญุณู†ุŒ ู‡ู†ุดูˆูู‡ ุงู† ุดุงุก ุงู„ู„ู‡ ู‚ุฑุจู†ุง ูŠุนู†ูŠุŒ ู†ุญู† ู‚ุงุนุฏูŠู†
312
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ู†ุนุทูŠ ุงู„ุฃุณุงุณุงุชุŒ ุซู… ุจุนุฏ ุฐู„ูƒ ุจู†ุจู„ุด ุนู„ู‰ ู…ูŠู† ู†ุญูƒูŠุŒ
313
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ุชุทุจูŠู‚ุงุช ุฃูˆ ุบูŠุฑู‡ุŒ ู…ุงุดูŠุŸุทูŠุจ ุฎู„ูŠู†ูŠ ุงู†ุง ุงุจู„ุด ุงุญูƒูŠ ุนู†
314
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ุดูˆูŠุฉ examples ุงูŠุถุง ุจุณุฑุนุฉ ุดูˆ ุฑุฃูŠูƒูˆุง ูŠุง ุจู†ุงุชูŠ ุงู„
315
00:22:22,810 --> 00:22:26,270
auto-regressive of order ูˆุงุญุฏ ู…ุดู‡ูˆุฉ ุงุฑู…ู‰ ูˆุงุญุฏ
316
00:22:26,270 --> 00:22:31,870
ูˆุฒูŠุฑู‡ุŸ ูƒูŠู ู…ู…ูƒู† ูŠู†ุฌุช ูŠุนู†ูŠุŸ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ุฃู…ุงู…ู†ุง
317
00:22:31,870 --> 00:22:37,370
ุตุญุŸ XT ุชุณูˆู‰ ูุงูŠ XT ู…ุงูŠู†ุณ ูˆุงุญุฏ ุงูˆ ุจุฑุงุณ ุงุจุณูˆู„ุงู† ุทุจุนุง
318
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ุงูˆ ุจุงู„ุดูƒู„ ู‡ุฐุง ู…ุงููŠ ุงุดูŠ ุฌุฏูŠุฏุทุจ autoregressive of
319
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order ุชู†ูŠู† ู…ุด ู‡ูˆ arma ุชู†ูŠู† ูˆ zero ูˆ ู…ู…ูƒู† ู†ูƒุชุจ ู‡ู‰
320
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ุทุจ moving average ูู‰ ูˆุงุญุฏ ุงุฐุง ู‡ุฐู‡ ุญุงู„ุงุช ุฎุงุตุฉ ูƒุฃู†ู‡
321
00:22:50,540 --> 00:22:53,540
ูŠุนู†ูŠ ุงู†ุง ู…ู…ูƒู† ุงู„ุงู† ุงุตุจุญ ุงู† ุงุนุจุฑ ุนู† ุงู„ moving
322
00:22:53,540 --> 00:22:58,720
average ุจุฏู„ุงุช ูƒูŠู arma ุตุญ ูˆ ุจุญุท zero ูˆ mano ู‡ู†ุง
323
00:22:58,720 --> 00:23:03,260
ูˆุงุญุฏ ุงูˆ ุชู†ูŠู† ุญุณุจ ุงู„ order ุชุจุน ู…ูŠู† ุงู„ moving
324
00:23:03,260 --> 00:23:08,350
average ู…ุตุจูˆุญุŸุทูŠุจุŒ ุจุฑุถู‡ ู‡ุฐู‡ ู…ุงููŠุด ุฏุงุนูŠ ุงู† ูƒู†ุช ุชุญูƒูŠ
325
00:23:08,350 --> 00:23:10,690
ููŠู‡ุง ู„ุฃู†ู‡ุง ุณู‡ู„ุฉ ุฅู„ุง ุฅุฐุง ูƒุงู† ููŠ ุนู†ุฏูƒ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ูƒู…
326
00:23:10,690 --> 00:23:16,090
ุณุคุงู„ุŒ ููŠ ุฃูŠ ุณุคุงู„ุŸ ู†ูƒู…ู„ุŒ ู…ุซู„ุง ุงู„ู€ Autoregressive 1
327
00:23:16,090 --> 00:23:20,050
ูˆ 1ุŒ ูƒูŠู ุจูŠู†ูƒุชุจ ูŠุง ุจู†ุงุชุŸ ุจุงู„ุตูŠุบุฉ ูƒูŠู‡ุŸ ู‡ุงูŠุŒ XT
328
00:23:20,050 --> 00:23:25,630
ุชุณุงูˆูŠ ู XT ู†ุงุฌุณ ูˆุงุญุฏ ุฒูŠ Epsilon T ุฒุงุฆุฏ ู…ู† Theta
329
00:23:25,630 --> 00:23:29,290
Epsilon T minus ูˆุงุญุฏ ูˆ ู…ู…ูƒู† ูŠู†ูƒุชุจ ุจุงู„ Backshift
330
00:23:29,290 --> 00:23:35,940
Operator ุจุงู„ุดูƒู„ ู‡ุฐุงุŒ ูˆุงุถุญุŸ ุฃุนุชู‚ุฏ ูˆุงุถุญุงุฑู…ู‰ ุชู†ูŠู† ูˆ
331
00:23:35,940 --> 00:23:41,540
ูˆุงุญุฏ ูƒูŠู ู…ู…ูƒู† ู†ูƒุชุจู‡ุง XT ุชุณุงูˆูŠ ูุงูŠ ูˆุงุญุฏ XT ู†ู‚ุต ูˆุงุญุฏ
332
00:23:41,540 --> 00:23:46,120
ุฒุงุฏ ูุงูŠ ุชู†ูŠู† XT ู†ู‚ุต ุงุชู†ูŠู† ุฒุงุฏ ุงุจุณู„ู… T ุฒุงุฏ .. ูˆ
333
00:23:46,120 --> 00:23:50,580
ู…ู…ูƒู† ู†ูƒุชุจ ู‡ูŠ ู„ุงู† ุงู†ุง ุจุนู…ู„ redundancy ู‚ุงุนุฏ ุตุญ ุดูˆ
334
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ูŠุนู†ูŠ redundancy ุงู‡ ู‚ุงุนุฏ ุจุญูƒูŠ ููŠ ุงุดูŠ ูˆุงุถุญ ู„ุงู„ูƒูˆุง
335
00:23:54,520 --> 00:23:58,620
ูุฎู„ูŠู†ูŠ ุงู‚ู„ุจ ูˆ ู„ุงู‚ูŠุด ู„ุจุนุฏูŠ ู‡ูˆ ุงู„ุง ุงุฐุง ููŠ ุนู†ุฏูƒูˆุง ุงูŠ
336
00:23:58,620 --> 00:24:03,320
ุงุณุชูุณุงุฑ ููŠ ุงูŠ ุงุณุชูุณุงุฑ ุทูŠุจ ูˆุงุถุญุฉ
337
00:24:06,590 --> 00:24:12,610
ุฎู„ุงุต ูˆุงุถุญ ู†ุจู„ุด ู†ุญูƒูŠ ุงู„ุขู† ุนู„ู‰ ู…ูŠู†ุŸ ุนุฑูŠู…ุฉ ู…ุฏุฑ
338
00:24:12,610 --> 00:24:17,310
ุงุฎุชุตุงู„ุง ุฅู„ู‰ ุงู„ูƒู„ู…ุฉ ุงูˆ ุงู„ู…ุตุทู„ุญ auto-regressive
339
00:24:17,310 --> 00:24:22,070
integrated ุงู„ุญุฑู I ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ู†ุต integrated
340
00:24:22,070 --> 00:24:29,430
moving average model ุชู…ุงู… ู‡ู‰ุŸ ุนู„ู‰ ุดูˆ ุชุนุฑูŠูู‡
341
00:24:29,430 --> 00:24:33,910
ู„ู„ุนุฑูŠู…ุฉ ู‡ุฐุงุŸ ุจูŠุด ุจูŠุญูƒูŠู„ูƒ ุงู„ time series XT with
342
00:24:33,910 --> 00:24:38,230
zero meanis called autoregressive integrated
343
00:24:38,230 --> 00:24:44,470
moving average of order B ูˆD ูˆQ ุชู„ุนุจ ุถุนู ู…ูŠู† ุงู„ D
344
00:24:44,470 --> 00:24:50,310
ุงู„ differencing ูˆุงู„ู„ูŠ ุจู†ุฑู…ุฒ ู„ู‡ ู‡ูˆ denoted by ุฃุฑูŠู…ุฉ
345
00:24:50,310 --> 00:24:59,690
BDQ if ุงู„ difference ุชุจุน ุงู„ุฑู‚ู… D ูŠุง ุจู†ุงุช of the
346
00:24:59,690 --> 00:25:07,670
series is ุฅูŠุดarma process is ูˆู„ุง are ู‡ู†ุงุŸ ุงู‡ ู‡ู‰
347
00:25:07,670 --> 00:25:12,550
ุนุดุงู† ุงู†ุง ุนุงู…ู„ ุฌุงู…ุน ูƒู†ู‰ is ู‡ู†ุง ุงู„ู…ูุฑูˆุถ is ู‡ุฏู‰ ู‡ุฏู‰
348
00:25:12,550 --> 00:25:16,990
ุงู„ู…ูุฑูˆุถ is ู…ุด ู…ุดูƒู„ุฉ is ุงูŠู‡ ุนุดุงู† ุงู†ุง arma ู‡ุฏู‰ is
349
00:25:16,990 --> 00:25:21,730
ุจุงู„ุบู„ุท ูƒุชุจู‡ุง are ุงู„ู…ู‡ู… is ุงู†ุง arma process ู…ู…ุงุดูŠ
350
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ุงู„ุญุงู„ ุดูˆ ูŠุนู†ูŠ ูู‡ู…ุชู‡ุŸ ุงูู‡ู…ุชู‡ ุงู† ู„ูˆ ูƒุงู† ููŠ ุนู†ุฏู‰
351
00:25:29,230 --> 00:25:34,720
process ู†ุญูˆ ู‡ุงูŠ ุงู„ process ูŠุง ุฃุณุงุชุฐุฉ ุนู…ู„ู†ุงู‡ุง ุงู„
352
00:25:34,720 --> 00:25:37,860
differencing ู…ุฑุฉ ุงูˆ ู…ุฑุชูŠู† ุงูˆ ุชู„ุงุชุฉ ุงูˆ in general
353
00:25:37,860 --> 00:25:42,440
ุฏูŠ ู…ู† ุงู„ู…ุฑุงุช ูˆ ุฑุงุญุช ุงุนุชุทู†ู‰ ุงุฑู…ู‰ ูุงู„ process
354
00:25:42,440 --> 00:25:46,160
ุงู„ุงุตู„ูŠุฉ ูƒุฃู†ู‰ ุจู‚ูˆู„ ุนู†ู‡ุง ู…ุงู„ู‡ุง ุงู„ุงู† ุงุฑูŠู…ู‡ .. ุงุฑูŠู…ู‡
355
00:25:46,160 --> 00:25:50,520
.. ู…ุงุดูŠุŸ ู…ุงู„ูƒ ุงู„ ู…ู†ู‡ุงุŸ ูˆุงุถุญ ุงู„ู„ู‰ ุจุญูƒูŠุŸ ูˆุงุถุญ ุงู„ู„ู‰
356
00:25:50,520 --> 00:25:54,040
ู…ุด ูˆุงุถุญุŸ ุนู„ู‰ ุงู„ process ู…ู…ูƒู† ุชุนู…ู„ูˆู„ู‡ุง difference
357
00:25:54,040 --> 00:25:59,030
ู…ุฑุฉ ูˆุงุญุฏุฉ ุงูˆ ู‡ูˆ ู‡ูˆ ุงู„ุบุงู„ุจ ู…ู…ูƒู† ู…ุฑุชูŠู†ุจุณ ุฏู„ุจุฑูƒูˆ ูู‰
358
00:25:59,030 --> 00:26:02,170
ุงู„ุญูŠุงุฉ ุงู„ุนู…ู„ูŠุฉ ุจูŠุตูŠุฑุด ุฃูƒุชุฑ ู…ู† ู…ุฑุชูŠู† ูˆ ุชู„ุงุชุฉ ุงู„ู„ู‰
359
00:26:02,170 --> 00:26:04,930
ุจูŠุนู…ู„ ุชู„ุงุชุฉ ูˆ ุฃุฑุจุนุฉ ุงุนุฑู ุงู†ู‡ ูู‰ ุนู„ุงู…ุฉ ุงุณุชูู‡ุงู…
360
00:26:04,930 --> 00:26:09,770
ูƒุจูŠุฑุฉ ู†ุนู…ู„ุด ุบุงู„ุจุง ุฃูƒุชุฑ ู…ู† ู…ุฑุชูŠู† ูู‰ ุญุงู„ุงุช ู†ุงุฏุฑุฉ ุฌุฏุง
361
00:26:09,770 --> 00:26:15,590
ุฌุฏุง ุฌุฏุง ู†ุถุทุฑ ุฃู†ู‡ ู†ุงุฎุฏ ุงู„ D ุชุณุงูˆูŠ ุชู„ุงุชุฉ ุฏุงูŠู…ุง one
362
00:26:15,590 --> 00:26:19,930
difference ุจูŠุฎู„ู‰ ุงู„ series ุฃุฑู…ู‰ ุชุนุฑููˆุง ุดูˆ ุงู„ุฃุฑู…ู‰ุŸ
363
00:26:19,930 --> 00:26:25,940
stationary ุตุญุŸ ู…ุด ุจุชุญู‚ู‚ ุงู„ุดุฑูˆุท ุงู„ุชู„ุงุชุฉุŸ ุงู„ุฃุฑูŠู…ุฉุฅูŠุด
364
00:26:25,940 --> 00:26:29,200
ุฑุฃูŠูƒูˆุงุŸ difference ุฅูŠุด ูŠุนู†ูŠุŸ ู„ู…ุง ู†ู‚ูˆู„ู†ุง
365
00:26:29,200 --> 00:26:31,700
differenceุŒ ุดูˆ ูŠุนู†ูŠ ุงู„ differenceุŸ ูŠุนู†ูŠ ุงู„ุฏูŠุฉ ู…ุด
366
00:26:31,700 --> 00:26:36,560
ุนุงู…ู„ุฉ differenceุŸ ู‡ู„ ูŠุนู†ูŠ ุงู„ stationary ูƒุงุฆู†ู‡ุงุŸ ู„ุฃ
367
00:26:36,560 --> 00:26:39,660
ู‡ูŠ ู…ุนู…ูˆู„ุฉ ู„ู…ูŠู†ุŒ ู„ุฃ ู…ุด stationaryุŒ ูุงู„ difference
368
00:26:39,660 --> 00:26:45,200
ุจูŠุฎู„ูŠู‡ุง stationaryุŒ ู…ุด ู‡ูŠูƒ ุนู…ู„ูŠุงุŸ ุงู†ุชูˆุง ู…ุด ู…ุฑูƒุฒูŠู†
369
00:26:45,200 --> 00:26:49,200
ู…ุนุงูŠุงุŸ ุฃูˆ ู…ุด ุนุงุฑููŠู† ุฅูŠุด ูƒู†ุช ุจุญูƒูŠ ุฒู…ุงู†ุŸ ุฃูˆ ู…ุด
370
00:26:49,200 --> 00:26:54,300
ูุงู‡ู…ูŠู† ุฅูŠุด ุจุงู„ุธุจุท ุงู„ู‚ุงุฑู…ุฉุŸ ุฅูŠุด ุงู„ู‚ุงุฑู…ุฉุŸ ุฃูˆ ู…ุด
371
00:26:54,300 --> 00:27:00,550
ูุงู‡ู…ูŠู† ุฅูŠุดุŸุฅูŠุด ุงู„ุงุฑู…ุฉุŸ
372
00:27:00,550 --> 00:27:03,970
ู‡ูŠ ุฅูŠุดุŸ ู‡ูŠ processุŒ ู‡ูŠ linear modelุŒ ูˆู„ุง ู…ุด
373
00:27:03,970 --> 00:27:07,910
linearุŸ ู‡ูŠ linear processุŒ ูŠุนู†ูŠ ู‡ูŠ ู…ุนุงุฏู„ุฉ ุฎุทูŠุฉุŒ
374
00:27:07,910 --> 00:27:12,810
ูˆู„ุง ู„ุงุŸ ุจุชู†ูƒุชุจ ุฏู„ุงู„ุฉ ู…ู†ุŸ ุจุชู†ูƒุชุจ ุฏู„ุงู„ุฉ ุงู„ series
375
00:27:12,810 --> 00:27:19,510
ุฐุงุช ู†ูุณู‡ุง ุนู†ุฏ ุงู„ุฃุฒู…ู†ุฉ ุงู„ุณุงุจู‚ุฉ ุจูŠู‡ุŒ ุตุญุŸุฒุงุฏ ู…ูŠู†ุŸ
376
00:27:19,510 --> 00:27:25,010
ุงู„ุฃุฎุทุงุก ุงู„ุณุงุจู‚ุฉ ุฃูƒู… lag ุนู†ุฏูƒุŸ Q ูŠุนู†ูŠ ุงู„ lag ุงู„ู‚ุฏูŠู…
377
00:27:25,010 --> 00:27:28,170
ุชุจุน ุงู„ series ุฐุงุช ู†ูุณู‡ุง B ูˆ ุงู„ lag ุชุจุน ุงู„ู„ูŠ ู‡ูˆ ุงู„
378
00:27:28,170 --> 00:27:33,130
errors ู‚ุฏุงุด Q ูู‡ุฏูˆู„ ุงู„ lag ุงู„ู„ูŠ ู‡ูˆ B ูˆ Q ุณูˆุงุก ุงู„
379
00:27:33,130 --> 00:27:39,130
series ุฐุงุช ู†ูุณู‡ุง XT-1 XT-2 ู„ุญุฏ ุฏูŠุช XT-B ุฃูˆ Epsilon
380
00:27:39,130 --> 00:27:43,910
Epsilon T-1 Epsilon T-2 ู„ุญุฏ ุฏูŠุช Epsilon T-Q ู‡ุฏูˆู„
381
00:27:43,910 --> 00:27:48,370
ุจุชุฌู…ุนูŠู‡ู… ุจู…ุนุงุฏู„ุฉ ุฎู„ุทูŠุฉ ุจูŠุนุทูˆู† ูŠู…ูŠู† ุจุงู„ุงุฎูŠุฑุงู„ armor
382
00:27:48,370 --> 00:27:53,110
ู‡ุฐู‡ stationary ูˆ invertibility ู…ุด ู‚ูˆู„ู†ุง invertible
383
00:27:53,110 --> 00:27:57,310
ูˆ .. ูŠุนู†ูŠ stationary ูŠุนู†ูŠ ุฅูŠู‡ ุดูˆ stationaryุŸ ูŠุนู†ูŠ
384
00:27:57,310 --> 00:28:00,910
ุฅูŠู‡ .. ุดูˆ ู…ุนู†ู‰ stationaryุŸ ุจุชุจุชุทู„ุนูˆุง ุดูˆู‡ุŸ ูŠุนู†ูŠ
385
00:28:00,910 --> 00:28:05,900
ุณุงูƒู†ุฉ ุจุงู„ุนุฑุจูŠ ุงู‡ุŸ ูŠุนู†ูŠ ููŠ ุณูƒูˆู†ุฃู‡ ุฃู‡ ุฃู‡ ุทูŠุจ ู…ุงุดูŠ
386
00:28:05,900 --> 00:28:08,600
ุงู„ุญุงุฌุฉ .. ู‡ู„ุฃ ุจุนุฏ ู…ุง ุนู…ู„ู†ุงู‡ุง ุณูƒูˆู† ูˆ ุบูŠุฑ ูˆ ู…ุง ุจุนุฑูุด
387
00:28:08,600 --> 00:28:12,060
ู‡ูˆ ุงู„ูƒู„ุงู… ู‡ุฐุง ูƒู„ู‡ ูŠุงุชู‡ ููŠ ุฃุญูŠุงู†ุง ุงู„ data ู†ูุณู‡ุง ูˆ
388
00:28:12,060 --> 00:28:14,540
ุจู†ุนู…ู„ู‡ุง ุงู„ data ุงู„ู„ูŠ ุจุชูƒูˆู† stationary ูŠุนู†ูŠ ุจุงุฎุชุตุงุฑ
389
00:28:14,540 --> 00:28:17,600
ุฑุณู…ุฉ ุงู„ data ุจุชูƒูˆู† ู…ุงู„ู‡ุง ูˆุงุถุญ ุงู†ู‡ุง stationary
390
00:28:17,600 --> 00:28:22,640
ู…ุงููŠุด ู†ู…ุท .. ู…ุงููŠุด violation .. ุงู„ู…ู‡ู… ู…ุด ู‡ู†ุฑุฌุน
391
00:28:22,640 --> 00:28:25,920
ู†ุนูŠุฏ ุงู„ู…ุงุฏุฉ ูƒู„ู‡ุง ูŠุนู†ูŠ ุงู„ู…ู‡ู… .. ู‡ู„ุฃ ุจุงู„ู†ุณุจุฉ ู„ู„ู‚ุฑูŠู…ุฉ
392
00:28:25,920 --> 00:28:29,640
ู„ู…ุง ู…ุงุชูƒูˆู†ุด stationary ุจู†ุถุทุฑ ู†ุนู…ู„ ุงู„ differencing
393
00:28:29,640 --> 00:28:34,100
ู…ุด ู‚ู„ู†ุง ู‡ู†ุงุŸุฅุฐุง ุงู„ differencing ุฎู„ู‘ุงู‡ุง stationary
394
00:28:34,100 --> 00:28:38,500
ูŠุนู†ูŠ ุนุงุฑู…ุฉ ุงู„ุขู† ูููŠ ุงู„ุขู† ู‡ุฐู‡ ุงุณู…ู‡ุง ุบุฑูŠู…ุฉ ูˆุงุญุฏ
395
00:28:38,500 --> 00:28:43,080
difference ุจุงู„ูƒุชูŠุฑ ุงุชู†ูŠู† ุจูŠุญู„ ุงู„ู…ุดูƒู„ุฉ ู„ูˆ ุดูุชู‡ ูˆุงุญุฏ
396
00:28:43,080 --> 00:28:49,040
ุนู…ู„ ุชู„ุงุชุฉ ูˆุบูŠุฑ ุดูƒู‡ ุดูƒู‡ ุบุงู„ุจุง ุจูŠูƒูˆู† ุบู„ุท ู…ุงุดูŠ ุงู„ุขู†ุŸ
397
00:28:49,040 --> 00:28:56,500
ุทูŠุจ ุงู„ุบุฑูŠู…ุฉ ุจู†ูƒุชุจ ุจุงู„ุดูƒู„ ู‡ุฐุง ูŠุง ุจู†ุงุช five of b ู‡ุฐุง
398
00:28:56,500 --> 00:29:01,370
ุงู„ differenceู„ู„ series ูƒู… ู…ุฑุฉ ุจุชุนู…ู„ูˆุง ุงู„
399
00:29:01,370 --> 00:29:05,550
difference ู‡ู†ุง D ู…ู† ุงู„ู…ุฑุงุช ูŠุนู†ูŠ ุงู„ first
400
00:29:05,550 --> 00:29:07,690
difference ุงู„ second difference ู„ุญุฏ ุฏูŠ ุงู„ D ู…ู†
401
00:29:07,690 --> 00:29:15,110
ุงู„ู…ุฑุงุช ู…ุด ุงู‡ ุจูŠุณูˆูˆุง ู…ูŠู† big theta of order Q
402
00:29:15,110 --> 00:29:19,570
ู…ุถุฑูˆุจุง ููŠ ู…ูŠู† epsilon T ู‡ู„ุง ุงุณู…ุนูˆุง ุดูˆ ุฃูุฑุฌ ู‡ุฐุง
403
00:29:19,570 --> 00:29:25,960
ูƒู‡ุฑูŠู…ุฉ ุนู† R ู…ุงุญุชูˆู‰ุจุณ ุงู„ุญุฏ ุงู„ู„ูŠ ุงุณู…ู‡ ู…ูŠู† ูˆุงุญุฏ ู†ุงู‚ุต
404
00:29:25,960 --> 00:29:29,760
ุจูŠู‡ ู…ุฑููˆุนุง ุฅู„ู‰ ู…ูŠู† ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ delta D ู‡ุฐูŠ ุงู„
405
00:29:29,760 --> 00:29:34,020
differencing ุตุญุŸ ูŠุนู†ูŠ ุจุงุฎุชุตุงุฑ ู‡ูˆ ู†ูุณู‡ ู†ูุณ ู…ูŠู†ุŒ ู„ุง
406
00:29:34,020 --> 00:29:37,440
ุจุณ ุฃุถูู†ุง ู„ู‡ุงุด ู‡ุฐุง ู„ุฅู†ู‡ ุนุงู…ู„ุง series differencing
407
00:29:37,440 --> 00:29:39,780
ูŠุนู†ูŠ ุฃู†ุช ุจุชุชุนุงู…ู„ุด ู…ุน ุงู„ XT ุจุชุชุนุงู…ู„ ู…ุน ุงู„
408
00:29:39,780 --> 00:29:44,070
difference ุชุจุนู‡ุงูˆุทุจุนุง ุงู„ุญุฏูŠุซ ุนู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Phi B
409
00:29:44,070 --> 00:29:46,690
ู‡ูŠ ู†ูุณ ุงู„ุญุฏูŠุซ ุนู† ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ุณุงุจู‚ุง ุงู„ู„ูŠ ู‡ูˆ
410
00:29:46,690 --> 00:29:51,230
polynomial of degree B ูˆ ุงู„ theta ู‡ูŠ polynomial of
411
00:29:51,230 --> 00:29:54,570
degree Q ูˆ ู„ุงุญุธ ุฃู† ู‡ุฐุง ุจุงู„ุณูˆุงู„ุจ negative negative
412
00:29:54,570 --> 00:30:02,790
ุดุงูŠููŠู†ู‡ุŸ ุจูŠู†ู…ุง ู‡ุฐุง ุจุงู„ู…ุฌุงุจุงุช ุฒุงุฏ ุฒุงุฏ ู…ู†ูŠุญุฉ ุทูŠุจ
413
00:30:04,050 --> 00:30:07,290
ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุงู†ุง ุญุงูˆู„ ู‚ุจู„ ุดูˆูŠุฉ ุงุญูƒูŠู‡ ู‡ูŠ ู…ูˆุฌูˆุฏ
414
00:30:07,290 --> 00:30:10,410
ุงู„ arima models are applied in some cases where
415
00:30:10,410 --> 00:30:15,750
the data show evidence ูŠุนู†ูŠ ุจุชุจูŠู† of no stationary
416
00:30:15,750 --> 00:30:20,610
where an initial differencing step can be applied
417
00:30:20,610 --> 00:30:22,890
ู‡ุฐุง ุฃุฎุฏุชู‡ ู…ู† ุงู„ wikipedia ูŠุนู†ูŠ ุงู„ุนุจุงุฑุฉ ู‡ุฐู‡
418
00:30:22,890 --> 00:30:26,270
ุจุงู„ู…ู†ุงุณุจุฉ where a differential initial
419
00:30:26,270 --> 00:30:30,330
differencing step can be applied one or more times
420
00:30:30,330 --> 00:30:32,650
to eliminate the non stationary ุดูˆ ูู‡ู…ุชู‡ ู…ู† ู‡ู†ุงุŸ
421
00:30:34,920 --> 00:30:40,560
ุฅู†ู‡ ุงู„ู‚ุงุฑูŠุฑ ู…ุงุจู…ุงุชู‡ุง ุจู†ุนู…ู„ ุนู„ู‰ ุจูŠุงู†ุงุช ู‡ูŠู‡ ุจุงู„ุนุฑุถ
422
00:30:40,560 --> 00:30:46,900
ู…ุงุงู„ู‡ุง show evidence ูŠุนู†ูŠ ููŠ ุฏู„ูŠู„ ููŠ ุนู„ู‰ ุฅู†ู‡ุง
423
00:30:46,900 --> 00:30:50,840
ุจุชูˆุฑุฏ ุงู„ุจูŠุงู†ุงุช ุฅู†ู‡ุง ู…ุงุงู„ู‡ุง ู…ุด stationary ุฅูŠุด ุงู„
424
00:30:50,840 --> 00:30:54,340
differencing ุชุจุน ู…ุฑุฉ ุฃูˆ ู…ุฑุชูŠู† ุฃูˆ ุฃูƒุชุฑ one or more
425
00:30:54,340 --> 00:31:00,580
ุดูˆ ุจูŠุณูˆูŠู‡ุง ุจูŠุฎู„ูŠู‡ุง stationary ู…ุงุดูŠ ุทูŠุจ ู‡ูŠ ุญุงู„ุฉ
426
00:31:00,580 --> 00:31:03,720
ุฎุงุตุฉ ู…ู† ุงู„ุณุคุงู„ auto regressive of order ุจูŠู‡ ูƒูŠู
427
00:31:03,720 --> 00:31:11,110
ู‡ูˆุŸArima B 00 ู„ุงู† ุฎู„ุงุต ู…ู† ูŠูˆู… ุทุงู„ุน ููŠู†ุง ู†ูƒุชุจ ูƒู„ู…ุงุช
428
00:31:11,110 --> 00:31:15,950
ู…ูŠู† Arima ู„ู„ุฏู„ุงู„ุฉ ุนุงู„ู…ูŠุง ุน ูƒู„ ุฅุดูŠ ุงู„ moving
429
00:31:15,950 --> 00:31:23,230
average of order Q Arima 00 ุทุจ ุงู„ ARI ุญุฑู ุงู„ I ู‡ุฐุง
430
00:31:23,230 --> 00:31:28,490
ู…ุง ู…ุนู†ุงู‡ ุงู„ integrated ูŠุนู†ูŠ ุงู„ difference ุงู‡ B ูˆ D
431
00:31:28,490 --> 00:31:38,360
ุดูˆ ูŠุนู†ูŠ ุฏูŠ ู…ุนู†ุงู‡ Arima B D ุตูุฉ ุงู‡ุงู„ IMA ูƒู…ุตุทู„ุญ D ูˆ
432
00:31:38,360 --> 00:31:44,820
Q ู‡ูˆ ุนุฑูŠู…ุฉ Zero D ูˆ Q ุงู„ R ู…ุง ุงู„ู„ูŠ ู‚ุจู„ ุดูˆูŠุฉ ูƒู†ุง
433
00:31:44,820 --> 00:31:49,700
ู†ู‚ูˆู„ ุนู†ู‡ ุจูŠ ูˆ ุฏูŠ ูƒูŠูˆ ู‡ู„ุฌูŠุชู‡ุง ุฅูŠุด ุงุณู…ู‡ุง ุนุฑูŠู…ุฉ ุจูŠ ุฒูŠ
434
00:31:49,700 --> 00:31:57,160
ูˆ ูƒูŠูˆ ุงู„ white noise ูŠุง ุจู†ุงุช ุฅูŠุด white noise ุนุฑูŠู…ุฉ
435
00:31:57,160 --> 00:32:03,490
Zero Zero Zero ุตุญ ู„ุฅู†ู‡ ู„ุง ููŠ differenceูˆู„ุง ููŠ
436
00:32:03,490 --> 00:32:07,890
order ุชุจุน ุงู„ auto regressive ูˆู„ุง ููŠ order ูู‡ูŠ
437
00:32:07,890 --> 00:32:18,410
arima 000 ุงู„ ID ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† arima 0d0 ู‡ุฐู‡
438
00:32:18,410 --> 00:32:22,430
ูŠุง ุจู†ุงุช ูƒุชูŠุฑ ู…ุดู‡ูˆุฑุฉ ุฌุฏุง ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุงุฎุฏู‡ุง ููŠู…ุง
439
00:32:22,430 --> 00:32:25,910
ุจุนุฏ ุงู„ู„ูŠ ู‡ูŠ ุงุณู…ู‡ุง ุงู„ random walk ูˆ ุงู„ู„ูŠ ุบุงู„ุจุง
440
00:32:25,910 --> 00:32:29,470
ุจูŠุณุชุฎุฏู…ูˆู‡ุง ุงู„ู†ุงุณ ููŠ ูˆุตู ุงู„ stock price ุงู„ู„ูŠ ู‡ูŠ
441
00:32:29,470 --> 00:32:35,630
ุงู„ุชุฏุงูˆู„ ุงู„ุนู…ู„ุฉู‡ุฐุง ู…ู‡ู… ุฌุฏุง ููŠ ุงู„ุจูŠุงู†ุงุช ุงู„ู…ุงู„ูŠุฉ ุงู„
442
00:32:35,630 --> 00:32:39,830
random walk ูุงู„ random walk ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู„ูŠ ู‡ูŠ
443
00:32:39,830 --> 00:32:44,610
ู‚ุฑูŠู…ุฉ zero ูˆ D ูŠุนู†ูŠ ู„ุง ููŠู‡ุง auto regressive ูˆู„ุง
444
00:32:44,610 --> 00:32:48,510
ููŠู‡ุง mean moving average ููŠู‡ุง ู…ุซู„ุง mean ุงู„
445
00:32:48,510 --> 00:32:51,750
differencing ุงุญู†ุง ู†ุดูˆูู‡ุง ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ูŠ ู…ุด random
446
00:32:51,750 --> 00:32:54,470
walk ู…ู† ู…ุตุทู„ุญ random walk ุจู‚ุฏุฑ ู…ุง ุงู†ู‡ุง ู‡ุฐูŠ ุงู„
447
00:32:54,470 --> 00:32:57,250
generalize ุงู„ู„ูŠ ู…ุน random walk ุจุณ ู„ู…ุง ู‡ุฐูŠ ููŠู…ุง ุจุนุฏ
448
00:32:57,250 --> 00:33:00,590
ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุงุฎุฏู‡ุง ุนู†ุฏ ุงู„ุญุฏูŠุซ ุนู† ุงู„ random walk
449
00:33:00,590 --> 00:33:06,000
ู†ุดูˆู ุงู†ู‡ุง ู…ู‡ู…ุฉ ููŠ ุงู„ุญูŠุงุฉ ุงู„ุนู…ู„ูŠุฉุทูŠุจ ูŠุนู†ูŠ ู‡ุฐุง ูƒู„ุงู…
450
00:33:06,000 --> 00:33:09,040
ุฃูŠุถุง ู†ูุณ ุงู„ุดูŠ ู…ู…ูƒู† ุชุดูˆููˆู‡ ุจุฑุงุญุชูƒูˆุง ููŠู…ุง ุจุนุฏ
451
00:33:09,040 --> 00:33:12,840
ู„ุญุงู„ูƒูˆุง ุงุนุชู‚ุฏ ุงู†ุง ูŠุนู†ูŠ ู…ุงููŠุด ุฏุงุนูŠ ุงู† ูƒุงุช ุชุฑุญุงูƒูŠ ููŠ
452
00:33:12,840 --> 00:33:15,500
ุจุฑุถู‡ .. ูŠุนู†ูŠ ุงู†ุง ุญูƒูŠุช ุงู„ูƒู„ู…ุฉ ู‡ุงูŠ ุงู„ูŠูˆู… ูƒุชูŠุฑ ู„ูƒุช
453
00:33:15,500 --> 00:33:22,440
ุชุฑุญุงูƒูŠ ู„ุฃู†ู‡ ูˆุงุถุญ ุงู†ู‡ ุนู…ู„ูŠุง ู‡ูŠ ุงู„ุงู…ูˆุฑ ุณู‡ู„ุฉ ุตุญุŸ ู‡ุงุฏ
454
00:33:22,440 --> 00:33:26,420
ู…ุฌุฑุฏ ู…ุซุงู„ ูŠุนู†ูŠ ุชุดูˆููˆุง ูƒูŠู ุงู„ auto-regressive ู…ุน ุงู„
455
00:33:26,420 --> 00:33:31,300
integrated ูˆุงุญุฏ ู‡ูŠ ูƒูŠู ุจู†ูƒุชุจ ู‡ูŠ ู‡ุง ู‚ุฑูŠู…ุฉ ูˆุงุญุฏ
456
00:33:31,300 --> 00:33:33,020
ูˆูˆุงุญุฏ ูˆูˆุงุญุฏ ู‡ูŠูƒ ุดูƒู„ู‡ุง
457
00:33:36,120 --> 00:33:41,300
ู†ูŠุญุŸ ู‡ุชู†ุดูˆู ู‡ุงูŠ ู‚ุฑูŠู…ุฉ ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ูƒูŠู
458
00:33:41,300 --> 00:33:47,040
ุชู†ูƒุชุจุŸ ู‚ุฏุงุด ุงู„ auto-regressiveุŸ ูˆุงุญุฏ ู‡ุงูŠ ูˆุงุญุฏ ู†ุงู‚ุต
459
00:33:47,040 --> 00:33:51,180
five ุจูŠ ู‚ุฏุงุด ุงู„ differencingุŸ ูˆุงุญุฏ ูŠุนู†ูŠ ูˆุงุญุฏ ู†ุงู‚ุต
460
00:33:51,180 --> 00:33:55,940
ุจูŠ ู„ู„ XT ู‡ุฐุง ุงู„ difference ู„ู„ series ูˆ ู‚ุฏุงุด ุงู„
461
00:33:55,940 --> 00:34:00,860
moving averageุŸ ูˆุงุญุฏ ูˆ ุงุฎุฑ ูˆุงุญุฏ ู‡ุงูŠ ู†ุญู† ู‡ุชู†ุดูˆู ุงุฎุฑ
462
00:34:00,860 --> 00:34:04,460
ูˆุงุญุฏุฉ ู‚ุฑูŠู…ุฉ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูƒูŠู ุจู†ูƒุชุจ ู…ู† ู‡ู†ุง
463
00:34:06,360 --> 00:34:12,060
ูˆุงุญุฏ ู†ุงู‚ุต file B ู‚ุฏุงุด differencingู‡ุง ุงู„ู„ูŠ ู‡ูˆ ูˆุงุญุฏ
464
00:34:12,060 --> 00:34:17,500
ู†ุงู‚ุต B ู…ุฑููˆุนุง ุฅู„ู‰ .. ุงู‡ ุนุงุฑููŠู† ู‡ุฐุง ุดูˆ ู…ุนู†ุงู‡ุŸ ูŠุนู†ูŠ
465
00:34:17,500 --> 00:34:20,880
ุดูˆ ุจุฏูƒูˆุง ุชุณูˆูˆุง ุงู†ุชูˆุงุŸ ุจุฏูƒูˆุง ุชุนู…ู„ ุงู„ series
466
00:34:20,880 --> 00:34:25,720
differencing ู…ุฑุชูŠู† ุงูˆ ุจุชููƒูˆุง ุจุงู„ู…ู†ุงุณุจุฉ ุงู„ูˆุงุญุฏ ู†ุงู‚ุต
467
00:34:25,720 --> 00:34:31,620
B ุงู„ culture ุจูŠููƒูˆู‡ุง ู‚ุฏุงุด ู…ููƒูˆูƒู‡ุง ูˆุงุญุฏ
468
00:34:31,620 --> 00:34:37,130
ู†ุงู‚ุต ุชู†ูŠู† BุฒูŠ ุงู„ B ุชุฑุจูŠุน ูˆ ู„ู…ุง ุชุทุจู‚ูˆุง ุนู„ูŠู‡ุง ุงู„ XT
469
00:34:37,130 --> 00:34:43,930
ุดูˆ ุจูŠุนุทูŠูƒ ุงู‡ XT ุจุนุฏูŠู† ุญุฏ ุงู„ุชุงู†ูŠ ู†ู‚ุต 2 V ุตุญุŸ ูŠุนู†ูŠ
470
00:34:43,930 --> 00:34:49,610
ุดูˆ ูŠุนู†ูŠุŸ 2 XT ู†ู‚ุต 1 ุจุนุฏูŠู† ุญุฏ ุงู„ุฃุฎูŠุฑ B ุชุฑุจูŠุน ุดูˆ
471
00:34:49,610 --> 00:34:54,610
ูŠุนู†ูŠุŸ XT ู†ู‚ุต 2 ุชุถุฑุจูŠู‡ุง ุจุนุฏูŠู† ู†ุต ูƒู…ุงู† ู…ุฑุฉ ููŠ ู…ูŠู†ุŸ
472
00:34:54,610 --> 00:34:59,030
ููŠ 1 ู†ู‚ุต ุงู„ Phi ูŠุนู†ูŠ ู‡ุฏูˆู„ ุงู„ุชู„ุช ุญุฏูˆุฏ ุงู„ู„ูŠ ุทู„ุนูˆุง
473
00:34:59,030 --> 00:35:03,920
ู…ุนุงูƒูŠู…ุตุจูˆุนุŸ ุจุฏู‡ู… ูŠู†ุถุฑุจูˆุง ููŠ ู…ูŠู†ุŸ ูˆุงุญุฏ ู†ุงู‚ุต ููŠ ุจูŠ
474
00:35:03,920 --> 00:35:07,240
ู‡ุฐุง
475
00:35:07,240 --> 00:35:09,820
ุงู„ู„ูŠ ู‡ูˆ ุงู„ moving average ุงุชู†ูŠู† ู‡ุงูŠ ูˆ ู‡ูŠูƒ ุจุชุญุจูˆุง
476
00:35:09,820 --> 00:35:13,560
ูŠุนู…ู„ูˆุง ู‡ุฐุง ุนู„ู‰ ุงู„ู„ูˆุญ ูˆ ู„ุง ูˆุงุถุญุŸ ู‡ูˆุฑูŠูƒู… ูƒูŠู ุดูƒู„ ุงู„
477
00:35:13,560 --> 00:35:19,900
series ู„ูˆ ุจุฏูƒู… ุชูุฑุทูˆู‡ุง ู‡ุฐุง ู„ูˆ ุจุฏู‡ุง ุงูุฑุทู‡ ุงุฎุฑ ูˆุงุญุฏุฉ
478
00:35:19,900 --> 00:35:25,920
ุทุจุนุง
479
00:35:25,920 --> 00:35:30,230
ู‡ุฐุง ุงู„ุดูƒู„ ุงู„ุฌู…ุงู„ูŠ ุงู„ู„ูŠ ุนู„ูˆู‡ ู‡ูŠูƒูŠุนู†ูŠ ุงู„ุดูƒู„ ุงู„ู„ูŠ ููŠู‡
480
00:35:30,230 --> 00:35:33,130
ูƒุชูŠุฑ ู†ุงุณ ุจุช .. ู„ูƒู† ููŠ ู†ุงุณ ุจุชุญุจ ุงู†ู‡ุง ุชุดูˆููˆุง ูƒูŠู
481
00:35:33,130 --> 00:35:36,990
ุดูƒู„ู‡ ุจุงู„ุงุฎูŠุฑ ุจุชุทู„ุน ูู…ุซู„ุง ุจูŠุฌูŠ ุจู‚ูˆู„ูˆุง ูƒุฏู‡ ู‡ูˆ ูˆุงุญุฏ
482
00:35:36,990 --> 00:35:41,390
ู‡ูˆ
483
00:35:41,390 --> 00:35:47,650
ูˆุงุญุฏ ู†ุงู‚ุต file B ููŠ ูˆุงุญุฏ ู†ุงู‚ุต B to the power D ุนู„ู‰
484
00:35:47,650 --> 00:35:52,510
ููƒุฑุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ Delta ูŠุง ุจู†ุงุช ุงู„ู„ูŠ ุงู†ุชูˆุง ุนุงุฑููŠู†ู‡ุง
485
00:35:52,510 --> 00:36:02,030
ุงู„ Delta D ุงู‡ XT ุจุชุณุงูˆูŠูˆุงุญุฏ ุฒูŠ ุงู„ุซูŠุชุง ูˆุงุญุฏ ุจูŠู‡ ุฒูŠ
486
00:36:02,030 --> 00:36:07,290
ุงู„ุซูŠุชุง ุชู†ูŠู† ุจูŠู‡ ุชุฑุจูŠุน ู…ุถุฑูˆุจุง ููŠ epsilon ุช ู‡ู„ุง ูƒูŠู
487
00:36:07,290 --> 00:36:15,150
ู‡ุฐุง ุจู†ููƒุŸ ู‡ุฐุง ุจู†ููƒ ูˆุงุญุฏ ู†ุงุฌุณ ุชู†ูŠู† ุจูŠู‡ ุฒูŠ ุงู„ ุจูŠู‡
488
00:36:15,150 --> 00:36:19,590
ุชุฑุจูŠุน ูƒู„ ูŠุงุชู‡ ู„ุงุฒู… ูŠู†ุถุฑ ููŠ ู…ูŠู†ุŸ ููŠ XT ูˆุทุจุนุง ู‡ุงูŠ
489
00:36:19,590 --> 00:36:21,910
ุจุชู†ุฒู„ ุฒูŠ ู…ุง ู‡ูŠ ู„ุญุฏ ู„ุง ู…ุง ุจุนู…ู„ุด ููŠู‡ุง ุดูŠ
490
00:36:25,410 --> 00:36:30,590
ุฃู‡ ู‡ุงูŠ ุชู†ูŠู† ุงู†ุง ุงู†ุง ุตุญ ุงุญู†ุง ุนู†ุฏู†ุง ุงุชู†ูŠู† ุงู‡ ุชู†ูŠู†
491
00:36:30,590 --> 00:36:36,710
ุชู†ูŠู† ุฏูŠ ู…ุงู‡ูŠ ุชู†ูŠู† ุงู„ differencing ุชู†ูŠู† ุชู…ุงู… ู‡ูŠ ูˆ
492
00:36:36,710 --> 00:36:42,530
ูŠุณุงูˆูŠ ุฎู„ุงุต ู‡ุฐู‡ ุณู‡ู„ุฉ ู„ูˆ ุจุฏูŠ ุงุนู…ู„ ุงุฎุจุทู‡ุง ููŠ ุจุนุถ ู‡ุฏูˆู„
493
00:36:42,530 --> 00:36:47,660
ุงู„ุญุฏูˆุฏ ุดูˆ ุจูŠู‚ูˆู„ูˆุง epsilon TุฒูŠ ุงู„ theta ูˆุงุญุฏ
494
00:36:47,660 --> 00:36:51,860
epsilon t ู†ุงุฌุณ ูˆุงุญุฏ ุฒูŠ ุงู„ theta ุงุชู†ูŠู† epsilon t
495
00:36:51,860 --> 00:36:54,920
ู†ุงุฌุณ ุงุชู†ูŠู† ุงู„ back shift operator ู‡ุฐุง ู„ู„ุฒู…ู† ู‡ูŠ ุจูŠู‡
496
00:36:54,920 --> 00:37:00,130
ุงูˆ ุจูŠู‡ ุชุฑุจูŠุน ุจูŠุนู…ู„ ู„ูŠู‡ ู‡ุงูŠ ุงู„ seriesู‡ุฐู‡ ููƒู‡ุง ุนุงุฏูŠ
497
00:37:00,130 --> 00:37:03,510
ูˆ ู…ู† ุซู… ุงุถุฑุจู‡ุง ููŠ ู‡ุฐู‡ ูุฅุฐุง ู„ูˆ ุงู†ุง ููƒุช ู‡ุฐู‡ ุงูˆ
498
00:37:03,510 --> 00:37:09,090
ุถุฑุจุชู‡ุง ูุชุตุจุญ XT ุทุจุนุง ุถุฑุจ ุงู„ูˆุงุญุฏ ู‡ูŠ XT ู†ุงู‚ุต 2 ุงู„ B
499
00:37:09,090 --> 00:37:13,770
ู‡ุฐู‡ ู„ุฅูŠู‡ ุงู„ุฒู…ู† ูˆุงุญุฏ ูŠุนู†ูŠ ู XT ู†ุงู‚ุต ูˆุงุญุฏ ูˆ ู‡ุฐู‡ ู„ุฒู…ู†
500
00:37:13,770 --> 00:37:18,610
ุงุชู†ูŠู† shift ู„ูˆุฑุง XT ู†ุงู‚ุต ุงุชู†ูŠู† ู‡ุฐุง ูƒู„ู‡ ูŠุนุทูŠ ูˆ ุจุฏูƒ
501
00:37:18,610 --> 00:37:23,450
ุชุถุฑุจูŠู‡ ููŠ ู…ูŠู† ุงู„ุขู† ูˆุงุญุฏ ู†ุงู‚ุต Phi B ุทุจุนุง ุจุฏูƒ ุชุถุฑุจูŠู‡
502
00:37:23,450 --> 00:37:27,810
ุงู„ุขู† ูƒู„ ูˆุงุญุฏุฉ ููŠู‡ุง ููŠ ู…ูŠุฉูู‰ ู‡ุฏูˆู„ ูู‰ ุงู„ูˆุงุญุฏ ู†ุงู‚ุต ูˆ
503
00:37:27,810 --> 00:37:31,410
ุชุดูˆู ุดูˆ ุจูŠุนุทูŠู‡ ูˆ ูŠุณุงูˆูŠ ุทุจุนุง ุจูŠุณุงูˆูŠ ุงู„ู…ู‚ุฏุงุฑ ุงู„ู„ู‰
504
00:37:31,410 --> 00:37:35,390
ู‡ุงู† ูƒู„ู‡ ูŠุงุชู‡ ุงู„ู„ู‰ ู‡ูˆ ุงู„ุญุฏ ุงู„ู„ู‰ ุนู„ูŠ ูŠุณุงุฑ ุชุจุน ุงู„
505
00:37:35,390 --> 00:37:38,570
moving average ุฎู„ุงุต ู…ุงุจุฏูŠุด ุงูƒุชุจู‡ ุฎู„ุงุต ู…ุงุงู†ุชูˆุง
506
00:37:38,570 --> 00:37:42,050
ุนุงุฑููŠู† ุงู„ moving average ุงู„ู„ู‰ ู‡ูˆ of order ุชู†ูŠู† ู‡ู†ุง
507
00:37:42,050 --> 00:37:46,290
ุงู„ part ุงู„ part ุชุจุน ุงู„ moving ููŠู„ุง ุฃุถุฑุจ ู‡ุฏูˆู„ ุณู‡ู„
508
00:37:46,290 --> 00:37:51,490
ูŠู„ุง ุดูˆูŠุฉ ุฎู„ูŠู†ูŠ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุฃุถุฑุจ ู‡ุฏู‰ ุงุณู…ุฉ XT minus
509
00:37:51,490 --> 00:37:57,470
Phi XT ู†ุงู‚ุต ูˆุงุญุฏ ุตุญุŸู‡ุฐู‡ ุฃูˆู„ ูˆุงุญุฏุฉ ุถุฑุจุชู‡ุง ููŠ ุงู„ุฌูˆุณ
510
00:37:57,470 --> 00:38:02,870
ุจุนุฏูŠู† ู†ุงู‚ุต ุฎู„ู‘ูŠู†ู‡ุง ุฏู‡ ุฃูˆู„ ูˆุงุญุฏุฉ ูŠู„ู‘ุง ู†ุงู‚ุต ุงุชู†ูŠู† ููŠ
511
00:38:02,870 --> 00:38:08,490
ูˆุงุญุฏ ุทุจุนุง ููŠ XT ู†ุงู‚ุต ูˆุงุญุฏ ุดูˆ ุจุฏุฃ ูŠุตูŠุฑ ู†ุงู‚ุต ุงุชู†ูŠู†
512
00:38:08,490 --> 00:38:12,990
XT ู†ุงู‚ุต ูˆุงุญุฏ ุซู… ู†ุงู‚ุต ุงุชู†ูŠู† XT ู†ุงู‚ุต ูˆุงุญุฏ ุชุถุฑุจูŠู‡ุง ููŠ
513
00:38:12,990 --> 00:38:18,250
ู†ุงู‚ุต Phi ุงู„ B ุจุฏุฃ ูŠุตูŠุฑ ุฒุงุฆุฏ ุงุชู†ูŠู† ูˆู‡ุฐู‡ Phi ุงู„ B
514
00:38:18,250 --> 00:38:24,370
ูŠุนู†ูŠ ุจู‚ู‰ ุดูุช ู„ูˆุฑุง ูˆ ู‡ุฐูŠ T ู†ุงู‚ุต ูˆุงุญุฏ ูƒุฏู‡ ุดูˆ ุจูŠุตูŠุฑI
515
00:38:24,370 --> 00:38:29,730
want Xt-2 ู„ุฃู† ุงู„ุฒู…ู† ุจู†ุฒุญ ู„ูˆุฑุง ุฎุทูˆุฉ ูˆุงุญุฏุฉ ู†ุญุฑูƒู‡ุง
516
00:38:29,730 --> 00:38:32,990
ู„ู„ุญุฏ ุงู„ุชุงู†ูŠ ุทุจุนุง ุงู†ุง ู„ูŠุด ุจุนู…ู„ ุฅุฌูˆุงุฒ ู…ุงููŠุด ุฏุงุนูŠ
517
00:38:32,990 --> 00:38:37,750
ู„ู„ุฅุฌูˆุงุฒ ู…ุงููŠุด ุฏุงุนูŠ ู„ู„ุฅุฌูˆุงุฒ ุตุญ ูŠุง ุจู†ุงุชุŸ ู…ุงููŠุด ุฏุงุนูŠ
518
00:38:37,750 --> 00:38:43,970
ู„ู„ุฅุฌูˆุงุฒุฎู„ุตุชูŠ ู…ู† ุงู„ุญุฏ ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠุŒ ุดูˆ ุถุงู„ุŸ Xt
519
00:38:43,970 --> 00:38:48,110
ู†ุงู‚ุต ุงุชู†ูŠู† ุชุถุฑุจูŠู‡ ููŠ ู‡ุฐุง ุงู„ุฌูˆุฒุŒ ูุฅูŠู‡ ุดูˆ ุชุตูŠุฑุŸ Xt
520
00:38:48,110 --> 00:38:53,630
ู†ุงู‚ุต ุงุชู†ูŠู†ุŒ ุจุนุฏูŠู† ู†ุงู‚ุตุŒ PhiุŒ ุงู„ B ู‡ุฐุง ุจูŠุฒูŠุญ ุงู„ุฒู…ู†
521
00:38:53,630 --> 00:38:58,470
ู‡ุฐู‡ ุฃูŠุถุงุŒ ุฒู…ู† ุงู„ู„ูŠ ู‡ูˆ Xt ู†ุงู‚ุต ุชู„ุงุชุฉุŒ ุจูŠุณุงูˆูŠ ุงู„
522
00:38:58,470 --> 00:39:01,490
moving average part ุงู„ู„ูŠ ู…ู† ู‡ู†ุงุŒ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ู‡ูˆ
523
00:39:01,490 --> 00:39:07,990
ุงู„ุญุฏุฎู„ุงุต ุจุฌู…ุน ุงู„ XT ู…ุน ุจุนุถ ู‡ุฏูˆู„ ุงุฒู…ู†ุง ูู…ุซู„ุง ุงูŠุด
524
00:39:07,990 --> 00:39:12,770
ุจูŠุนุทูŠู†ูŠ ุงูˆ ุจุฎู„ูŠ XT ู„ุญุงู„ู‡ุง ู‡ุงุฏู‰ ุน ุฌู‡ู‡ XT ุฏู‡ ุณุงูˆูŠ ูˆ
525
00:39:12,770 --> 00:39:17,510
ุงู†ุฌู„ ูƒู„ ุดูŠ ุนู„ู‰ ูˆ .. ุนู„ู‰ ุงู„ุฌู‡ู‡ ุงู„ุฃุฎุฑู‰ ูุฅูŠุด ุจุฑูˆุญู‡ุง
526
00:39:17,510 --> 00:39:25,390
ุฏู‡ ู…ูˆุฌุจ ูุงูŠ XT ู†ุงุฌุณ ูˆุงุญุฏ ูˆ ููŠู‡ุง ู…ูˆุฌุจ ุชู†ูŠู† ู…ุตุจูˆุฑ XT
527
00:39:25,390 --> 00:39:29,590
ู†ุงุฌุณ ูˆุงุญุฏ ูุฅุฐุง ุจุฑูˆุญ ูƒุฅู†ู‡ ุฅูŠุด ุงุณู…ู‡ ูุงูŠ ุฒุงุฏ ุงุชู†ูŠู†
528
00:39:29,590 --> 00:39:35,900
ู…ุถุฑูˆุจุง ูƒู„ูŠุงุชู‡ ููŠ ู…ูŠู†XT-1 ุทุจุนุง ุงู„ูุงู‰ ุฑู‚ู… ู…ูุชุฑุถ ุงู†ู‡
529
00:39:35,900 --> 00:39:42,080
ุจูŠูƒูˆู† ุฑู‚ู… ูŠุนู†ูŠ ู…ุซู„ุง ุนุดุฑ ูˆู„ุง ุณุจุนุฉ ู…ู† ุนุดุฑ ุฑู‚ู… ุงู„ู…ู‡ู…
530
00:39:42,080 --> 00:39:48,440
ุฒู‰ ู‡ุฏู‰ ุจุชุฑูˆุญ ุจู…ูŠุฉ ุจุงู„ุณุงู„ู ูˆู‡ุฏู‰ ุจุชุฑูˆุญ ุงูŠุถุง ุจุงู„ุณุงู„ู
531
00:39:48,440 --> 00:39:55,900
ุงุฐุง ุณุงู„ู ุงุชู†ูŠู† ูุงู‰ ุดูˆ ู‡ูŠูƒ ู…ู…ูƒู† ุงู†ู‡ ุงุชู†ูŠู† ูุงู‰ ูˆู‡ุฏู‰
532
00:39:55,900 --> 00:40:00,240
ูƒู…ุงู† ูˆุงุญุฏ ูŠุนู†ูŠ ูƒุฏู‡ุด ุณุงู„ู ุงุนู„ู‰ ุงู„ู…ุดุชุฑูƒ
533
00:40:04,580 --> 00:40:10,400
2 ูุงูŠ ุฒุงุฆุฏ ูˆุงุญุฏ ุงูŠุถุง ู‡ุฐุง ุฑู‚ู… ู…ุนุฑูˆู ุงู‡ xd ู†ู‚ุต ุงุชู†ูŠู†
534
00:40:10,400 --> 00:40:17,600
ุงูŠุด ุฏู‡ ุฏู‡ ุฒุงุฆุฏ ูุงูŠ xd ู†ู‚ุต ุชู„ุงุชุฉ ูˆ ูƒู„ ู‡ุงู„ ูุงูŠุงุช
535
00:40:17,600 --> 00:40:23,700
ู‡ุฏูˆู„ุฉ ู…ุนุฑูˆููŠู† ุงู†ู‡ู… ุฑู‚ู… ุฒุงุฆุฏ ุฒุงุฆุฏ ุฒุงุฆุฏ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†
536
00:40:23,700 --> 00:40:32,480
ู‡ุฐุง epsilon T ุฒุงุฆุฏ ุซูŠุชุง ูˆุงุญุฏ epsilonุช ู†ุงุฌุณ ูˆุงุญุฏ ุฒูŠ
537
00:40:32,480 --> 00:40:37,360
ุซูŠุชุง ุชู†ูŠู† ุงุจุณู„ูˆู† ุช ู†ุงุฌุณ ุงุชู†ูŠู† ุงุฐุง ู…ู…ูƒู† ุงู†ุง ุงูƒุชุจู‡
538
00:40:37,360 --> 00:40:42,740
ุจุงู„ุดูƒู„ ู‡ุฐุง ุงู„ู„ูŠ
539
00:40:42,740 --> 00:40:51,900
ู‡ูˆ ุงูŠุด ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ู…ู† ุงุณุงุณ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ู‚ุฑูŠู…ุฉ ุงูŠุด
540
00:40:51,900 --> 00:40:57,640
ูˆุงุญุฏ ุงุชู†ูŠู† ุงุชู†ูŠู† ู‡ูŠูˆ ูˆุงู„ file ู„ุงุฒู… ุชูƒูˆู†ูˆุง ุนุงุฑููŠู†ู‡ุง
541
00:40:57,640 --> 00:41:03,640
ุจุงู„ุชุฃูƒูŠุฏู…ูˆุฌูˆุฏุฉุŒ ุจุชูƒูˆู† ู…ุนุทุงุนุฉุŒ ุฃู‡ุŸ ูุงู‡ู…ูŠู† ุฅูŠู‡ุŸ ูŠุนู†ูŠ
542
00:41:03,640 --> 00:41:07,660
ุจุงุฎุชุตุงุฑ ูŠุง ุจู†ุงุชูŠุŒ ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ู‚ูŠู…ุฉ ุงู„ุณู„ุณู„ุฉ ุนู†ุฏ
543
00:41:07,660 --> 00:41:12,000
ุงู„ุฒู…ู† T ูู…ุซู„ุง ู‡ูŠ ุงู„ู…ุจูŠุนุงุช ุฃูˆ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุฃูˆ ุงู„ู„ูŠ
544
00:41:12,000 --> 00:41:15,920
ู‡ูˆ ุงู„ุนุธูˆุจุฉ ููŠ ุงู„ู…ูŠุงู‡ ุฃูˆ ู…ุซู„ุง ุณุนุฑ ุงู„ุฏูŠู†ุงุฑ ุนู„ู‰
545
00:41:15,920 --> 00:41:22,350
ุงู„ุฏูˆู„ุงุฑุŒ ู†ุญู† ููŠ ุนู†ุฏ ุงู„ุฒู…ู† T ููŠ ุงู„ูŠูˆู… ุงู„ู„ูŠ ูู„ุงู†ูŠู‡ู‰
546
00:41:22,350 --> 00:41:27,370
ุนุจุงุฑุฉ ุนู† ุชุนุทู‰ ู…ู† ุนู„ุงู‚ุงุช ุณุงุจู‚ุฉ ุจุฏู„ุงู„ุฉ ู…ูŠู† ุงู„ุงุฒู…ุฉ
547
00:41:27,370 --> 00:41:30,450
ุงู„ู„ู‰ ู‡ู‰ ุงู„ุณู„ุณู„ุฉ ุฐุงุช ู†ูุณู‡ุง ู…ุซู„ุง ุณุนุฑ ุงู„ุฏูŠู†ุงุฑ ุนู„ู‰
548
00:41:30,450 --> 00:41:33,190
ุงู„ุฏูˆู„ุงุฑ ููŠ ุงู„ุณู†ุฉ ุงู„ู„ู‰ ุฌุงุจู„ู‡ุง ูˆููŠ ุงู„ูŠูˆู… ุงู„ู„ู‰ ุฌุงุจู„ู‡
549
00:41:33,190 --> 00:41:40,470
ู…ุถุฑูˆุจุง ูู‰ ู…ูŠู† ูุงูŠ ุฒุงุฏ ุงุชู†ูŠู† ุฒุงุฏ ุณุงู„ุจ ุทุจุนุง ู‡ู‰ ู‡ุงู†
550
00:41:40,470 --> 00:41:43,990
ุณุนุฑ ุงู„ุฏูŠู†ุงุฑ ุนู„ู‰ ุงู„ุฏูˆู„ุงุฑ ููŠ ุงู„ูŠูˆู… ุงู„ู„ู‰ ุฌุงุจู„ู‡ ุฌุงุจู„ู‡
551
00:41:43,990 --> 00:41:48,560
ุงูˆ ุงู„ู„ู‰ ุงูˆู„ ู…ุจุงุฑุญ ู‡ูŠูƒ ุจุงู„ุนุฑุจูŠ ู…ุนู†ุงู‡ุงู…ุถุฑูˆุจุง ููŠ ู‡ุงูŠุŒ
552
00:41:48,560 --> 00:41:54,460
ูŠุนู†ูŠ ุชู„ุช ุฃุฒู…ุฉ ู„ูˆุฑุฉุŒ ุชู„ุช ุฃูŠุงู… ู„ูˆุฑุฉุŒ ู‡ุงูŠู‡ู… ุตุญุŸ ุชู„ุช
553
00:41:54,460 --> 00:41:59,120
ุฃูŠุงู… ู„ูˆุฑุฉุŒ ู…ุซู„ุง ู…ุซู„ุง ู…ุดู‡ูˆุฑ ุฅูŠุงู‡ุงุŒ ุชู„ุช ุฃูŠุงู… ู„ูˆุฑุฉ
554
00:41:59,120 --> 00:42:03,160
ุฃุนุฑูู‡ู… ุนู„ู‰ ุนุจุงุฑุฉ ุนู† ุฃุณุนุงุฑ ุงู„ุฏูŠู†ุงุฑ ุนู„ู‰ ุงู„ุฏูˆู„ุงุฑ plus
555
00:42:03,160 --> 00:42:08,300
ุทุจุนุง ูŠูˆู…ูŠู† ู„ูˆุฑุฉ ูƒ errorsุŒ ูƒ shock ู‡ุฏูˆู„ ุจูŠุณู…ูˆู‡ู… ุฃูˆ
556
00:42:08,300 --> 00:42:13,430
ูƒ noise ุฃูˆ ุณู…ูŠู‡ุง ูƒู…ุง ุดุฆุชูŠุจูŠุนุทูŠู†ูŠ ุจุงู„ุงุฎูŠุฑ ู…ูŠู† ู‚ูŠู…ุฉ
557
00:42:13,430 --> 00:42:16,870
ุณุนุฑ ุงู„ุฏูŠู†ุงุฑ ุนู„ู‰ ุงู„ุฏูˆู„ุงุฑ ุงู„ูŠูˆู… ุงูˆ ู„ุจูƒุฑ ุงูˆ ุงู„ู„ูŠ ุจุฏูƒ
558
00:42:16,870 --> 00:42:22,470
ูŠุนู…ู„ ู†ุญูŠุง ุทูŠุจ ููŠ ู†ุงุณ ุจุชุญุจ ู‡ุฐุง ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู„ู‰ ุงู„ู„ูˆุญ
559
00:42:22,470 --> 00:42:26,810
ูˆ ููŠ ู†ุงุณ ุจุชุญุจ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู† ู‚ูˆู„ู†ุงู‡ ุงู„ุดูƒู„ ุงู„ู„ูŠ ู‡ูˆ
560
00:42:26,810 --> 00:42:29,530
ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูƒู…ุจูŠูˆุชุฑ ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃุฎุฑุงู†ูŠ ุงู†ุง ุนุงุฑู
561
00:42:29,530 --> 00:42:33,570
ูƒู„ุง ู‡ู…ุง ู†ูุณ ุงู„ุดูƒู„ ุงู„ุงู† ุงู†ุชูˆุง ุดูˆูุชูˆุง ุงูŠ ูˆุงุญุฏ ู…ู† ู‡ู…ุง
562
00:42:33,570 --> 00:42:37,290
ุชุนุฑููˆุง ู‡ุฐุง ุจุชุฏูŠู„ ุนู„ู‰ ู…ูŠู† ูˆ ู‡ุฐุง ุจุชุฏูŠู„ ุนู„ู‰ ู…ูŠู† ุงู‡
563
00:42:37,290 --> 00:42:37,870
ู…ู†ูŠุญุŸ
564
00:42:41,570 --> 00:42:46,670
ุทูŠุจ ู‡ุงูŠ ุงู„ุขู† ุจุฑุถู‡ code ู„ู„ simulation ูƒูŠู ู†ุนู…ู„
565
00:42:46,670 --> 00:42:55,990
ู‚ุฑูŠุจุฉ ู…ุซู„ุง ู…ู† ุนู†ุฏู‰ 2 1 1 ู…ุด
566
00:42:55,990 --> 00:43:00,130
ู…ูˆุฌูˆุฏ ู…ุด ู…ุดูƒู„ุฉ ู‡ูŠูˆุง ุนู†ุฏู‰ ู…ุด ู…ูˆุฌูˆุฏ ุนู†ุฏูƒูˆุง ุจุณ ู‡ูŠูˆุง
567
00:43:00,130 --> 00:43:03,810
ุนู†ุฏู‰ ุจุชุดูˆููˆุง
568
00:43:03,810 --> 00:43:08,450
ุจุนุฏูŠู†ุทูŠุจ ุงู„ seed ู‡ุงู† ู†ูุณ ุงู„ seed ู…ุซู„ุง ุงู„ู„ูŠ ุนู…ู„ุชู‡
569
00:43:08,450 --> 00:43:12,170
ุงู„ุณุงุจู‚ ุจุฅู…ูƒุงู†ูƒ ุชุบูŠุฑูŠู‡ ูˆู„ูƒู† ุนุดุงู† ูŠุทู„ุน ู…ุนุงูŠุง ู†ูุณ
570
00:43:12,170 --> 00:43:15,890
ุงู„ุฑุณูˆู…ุงุช ู…ุนุงูƒูˆุง ููŠู…ูƒู†ูƒูˆุง ุชุนู…ู„ูˆุง ุงู„ code ู‡ุฐุง ู†ุนู…
571
00:43:15,890 --> 00:43:23,030
ุจู†ุฒู„ูƒูˆุง ูŠุง ุฃู‡ุงู„ูŠ ุงู„ุฅุตู„ุงุญ ุนู„ู‰ ุงู„ู…ูˆู‚ุน ุทูŠุจ ูŠุง ุจู†ุงุช ุงู„
572
00:43:23,030 --> 00:43:27,410
order ู‡ุงู† ู‡ูŠูƒูˆู† ุนุงุฏ ููƒุฑูƒูˆุง ูƒูŠู ู…ุด ู‡ุงุฏ ุงุชู†ูŠู† ูˆุงุญุฏ
573
00:43:27,410 --> 00:43:30,810
ูˆุงุญุฏ ุงู„ order ุชุจุน ุงู„ sim ุฃุฑูŠู… ุงู„ sim ุงู„ function
574
00:43:30,810 --> 00:43:37,050
ู†ูุณู‡ุง ุฃุฑูŠู… ุงู„ simูุงู„ order ู…ูŠู† ู‡ูŠูƒูˆู†ุŸ 2,1,1 ู…ุซู„ุง
575
00:43:37,050 --> 00:43:39,830
ุงู„ auto-regressive ุงู„ู„ูŠ ู‡ูˆ ุนู†ุฏูƒ ุงู„ุขู† ุงู„ parameters
576
00:43:39,830 --> 00:43:44,270
8 ู…ู† 10 ูˆ 4 ู…ู† 10 ุจุงู„ุณุงู„ุจ ูˆ ุงู„ moving average ู‡ูŠ
577
00:43:44,270 --> 00:43:50,370
ุณุงู„ุจ 6 ู…ู† 10 ูู‡ุฐุง ุงู„ model ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ู‡ุฐุง
578
00:43:50,370 --> 00:43:55,950
ู‡ูˆุŒ ู†ุญุŸ ู…ุด ู‡ุฐุง ู‚ุฑูŠุจุฉุŸ ู…ุด ู‡ุฐู‡ difference ุจุงู„
579
00:43:55,950 --> 00:44:00,280
seriesุŸ ูƒู… difference ุนุงู…ู„ ุฃู†ุงุŸู‡ู†ุง ูƒุงู… ุฏูŠ ูุฑู†ุณุงุŸ
580
00:44:00,280 --> 00:44:03,860
ูˆุงุญุฏ ูŠุนู†ูŠ ู‡ู†ุง ู‚ุฑูŠุจุง ุงู„ู„ูŠ ูู‰ ุงู„ู†ุต ู„ุงุฒู… ูŠูƒูˆู† ู…ูŠู†ุŸ
581
00:44:03,860 --> 00:44:06,800
ูˆุงุญุฏ ู…ูŠู† ุงู„ parameters ุชุจุนุงุช ุงู„ auto-regressive
582
00:44:06,800 --> 00:44:13,660
ู‡ู…ุงุŸ ุณุงู„ุจ ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉุŸ ู„ุฃ ุบู„ุทุงู†ุฉ ุงู†ุช ุณุงู„ุจ ูˆู„ุง
583
00:44:13,660 --> 00:44:20,120
ู…ูˆุฌุจุŸ ู…ุด ู‡ุฏูˆู„ ู„ุงุฒู… ูŠูƒูˆู†ูˆุง ุจุงู„ุณูˆุงู„ุฉุŸ ุงุฐุง ู‡ุฏู‰ ู„ุงุฒู…
584
00:44:20,120 --> 00:44:24,000
ูŠูƒูˆู† ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉุŸ ุณุงู„ุจ ุงุฑุจุนุฉ ูˆู‡ุฏู‰ ุงู„ู„ู‰ ุงู†ุง
585
00:44:24,000 --> 00:44:28,780
ุนุงู…ู„ู‡ ู…ูˆุฌุจ ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ุณุงู„ุจ ุงุฑุจุนุฉุทุจ ุจุงู„ู†ุณุจุฉ ู„ู„
586
00:44:28,780 --> 00:44:32,700
part ุชุจุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฌุฒุฆูŠุฉ ุชุจุน ุงู„ moving average ู…ูŠู†
587
00:44:32,700 --> 00:44:39,200
ู‡ูŠุŸ ุซุงู„ุซ ุงู„ order ู‚ุฏุงุดุฑุŸ ูˆุงุญุฏ ูˆ ู…ูŠู† ู‡ูŠุŸ ุณุชุฉ ูˆ ู‡ูŠู‡ุง
588
00:44:39,200 --> 00:44:42,720
ู…ู† ูŠุญูŠู‡ุง ูุจูŠุนู…ู„ simulation ุงู„ุขู† ุจุชุทู„ุน series
589
00:44:42,720 --> 00:44:46,640
ุชุฑุณู…ูˆู‡ุง ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ู‡ุฐู‡ ุงู„ series ู„ูˆ ุทู„ุนุชูˆุง
590
00:44:46,640 --> 00:44:50,280
ุนู„ู‰ ุงู„ุจูŠุงู†ุงุช ูŠุนู†ูŠ ุจุฏูˆู† ู…ูƒุจุฑ ุจุณ ุงู„ series ู‡ุฐู‡ ุดูˆ
591
00:44:50,280 --> 00:44:54,920
ุจุชู‚ูˆู„ ุงู†ู‡ ุงู†ุง ูƒุจูŠุงู†ุงุช ู‡ุฐู‡ ุจูŠุงู†ุงุชูŠ ู‡ุฐู‡ ุงู„ุขู†ุงูุชุฑุถูˆุง
592
00:44:54,920 --> 00:44:58,500
ุจุนุฏ ู…ุง ุนู…ู„ู†ุง ู„ู‡ุง simulationุŒ ุงู„ุขู† ุฃู…ุงู…ูƒ ุจูŠุงู†ุงุช
593
00:44:58,500 --> 00:45:04,640
ุญู‚ูŠู‚ูŠุฉ ู‡ูŠ ู‡ูŠูƒุŒ ูˆู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ู…ุซู„ุง ู†ุณุจุฉ ุงู„ู€CO2ุŒ ุดูˆ
594
00:45:04,640 --> 00:45:09,100
ูŠุนู†ูŠ ููŠ ุงู„ูƒูŠู…ูŠุง CO2ุŸ ุซุงู†ูŠ ุงูƒุณูŠุฏ ุงู„ูƒุฑุจูˆู† ุนุจุฑ ุงู„ุฒู…ู†
595
00:45:09,100 --> 00:45:13,700
ู…ุซู„ุงุŒ ู‡ูŠูƒ ุดูƒู„ู‡ุŒ ุดูˆ ูŠุนู†ูŠ ุฅู†ุช ุจุชู‚ูˆู„ูŠุŸ ูŠุนู†ูŠ ููŠ ุชุฒุงู‚ุŒ
596
00:45:13,700 --> 00:45:18,740
ููŠ trend ู‡ู‡ุŸ ููŠ stationaryุŸ ู…ุธุจูˆุทุŸ ุฅุฐุง ุงู†ุช ูŠูˆู… ู…ุง
597
00:45:18,740 --> 00:45:22,080
ุชูŠุด ุชุดุชุบู„ุŒ ู‡ุชุดุชุบู„ automatic ุนู„ู‰ ู‚ุงุฑู…ุฉ ูˆู„ุง ู‚ุฑูŠู…ุฉุŸ
598
00:45:23,420 --> 00:45:28,160
ู‡ู†ุง ู‚ุฑูŠุจุฉ ูˆู„ุง ุจู†ูุน ุฃุฑู…ู‰ุŸ ู„ุฅู†ู‡ุง ู…ุด stationary ุทุจ
599
00:45:28,160 --> 00:45:31,540
ุงู„ู‚ุฑูŠุจุฉ ุดูˆ ุจุฏู‡ูˆุง ูŠุณูˆูŠู‡ุŸ ุจูŠุนู…ู„ differencing
600
00:45:31,540 --> 00:45:35,800
ุจูŠุณูˆูŠู„ู‡ุง ู…ูŠู†ุŸ ุงู‡ ู„ูˆ ุนู…ู„ุชูˆู‡ุง differencing ู‡ุชู„ุงู‚ูˆู‡ุง
601
00:45:35,800 --> 00:45:39,580
ูุนู„ุง ุจุชุตูŠุฑ stationary ุฃูƒู… difference ู‡ุชุนู…ู„ูˆู„ู‡ุงุŸ
602
00:45:39,580 --> 00:45:44,640
ูˆุงุญุฏ ุจุงู„ูƒุชูŠุฑ ุฌู† ุงุชู†ูŠู† ุงูƒุชุฑ ุงุดูŠ ุงูƒุชุฑ ู…ู† ู‡ูŠูƒ ุจุชูƒูˆู†
603
00:45:44,640 --> 00:45:50,040
ุงู† ุงู†ุช ู…ุดูƒูˆูƒ ูˆ ุจุชู„ุงู‚ูŠู‡ุง ููŠ ู…ุง ุจุนุฏ ู†ุนู…ู„ ุงู„ .. ุทุจ
604
00:45:50,040 --> 00:45:54,100
ุงุณู…ุนูˆุงู…ุงุฒุงู„ ู‡ูŠูƒ ุฎู„ูŠู†ูŠ ุงู†ุง ู„ู„ู…ุญุงุถุฑุฉ ุฃุญูƒูŠ ุนู„ู‰
605
00:45:54,100 --> 00:45:57,980
ุงู„ุณุฑูŠู…ุฉ ุจุณ ุจุฏูŠ ุฃู†ุจู‡ ู„ุดุบู„ ูˆุนูŠุจ ุงู†ุง ุนุงู…ู„ package
606
00:45:57,980 --> 00:46:04,500
ุงุณู…ู‡ Portis ุงู„ package ู‡ุฐุง ุญุทูŠุชู‡ ุทุจุนุง ู‡ูˆ ู…ูˆุฌูˆุฏ ุจุงู„
607
00:46:04,500 --> 00:46:09,140
crane ุชุจุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ R ู†ุญู† ุงู„ Portis ู‡ุฐุง ุงู„
608
00:46:09,140 --> 00:46:13,380
package ุฃู†ุง ุงู„ู„ูŠ ุนุงู…ู„ู‡ ู†ุญู† ูŠุนู†ูŠ ุฃู†ุง ูƒุงุชุจู‡ ุนู„ู‰ ุงู„ R
609
00:46:13,380 --> 00:46:18,840
ู…ูˆุฌูˆุฏุฃู†ุง ูˆ ุฏูƒุชูˆุฑ ุชุงู†ูŠ ู…ุนุงูŠุง ุงุณู…ู‡ Ian McLeod ู‡ู„ุง
610
00:46:18,840 --> 00:46:23,640
ู‡ุฐุง ุงู„ package ุงู„ู„ูŠ .. ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุฃุฎุฑ version ู…ู†ู‡
611
00:46:23,640 --> 00:46:29,000
ุนู„ู‰ ุงู„ ัะบั€ะฐะฝ ู‡ูŠ ุงู„ version ุชุจุนูŠ 2014 ู‡ุฐู‡ ุงู„
612
00:46:29,000 --> 00:46:32,300
version 2014 ู…ุด ู‡ูŠ ุงู„ู†ุณุฎุฉ ุงู„ู†ู‡ุงุฆูŠุฉ ุงู„ู†ุณุฎุฉ ุงู„ู†ู‡ุงุฆูŠุฉ
613
00:46:32,300 --> 00:46:35,500
ู‡ูŠ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุงู„ุขู† ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ูˆู‚ุน ุชุจุนูŠ ุนู„ู‰ ุงู„
614
00:46:35,500 --> 00:46:40,720
website ุงู„ code ุฃู†ุง ูƒุชุจุชู‡ totally ุฃู†ุง ูƒุชุจุชู‡ ู‡ุฐุง ุงู„
615
00:46:40,720 --> 00:46:48,040
codeุงู„ู„ูŠ ุฃู†ุง ุฃุถูุช ุฅู„ู‡ ุฌุฏูŠุฏ ู‚ุจู„ ุณู†ุฉ ุชู‚ุฑูŠุจุง ุงู†ู‡ ูŠุนู…ู„
616
00:46:48,040 --> 00:46:55,240
ุณุฑูŠู…ุฉ simulation univers ูˆ multivers ูˆ ุจุตุฑุงุญุฉ ู‡ูˆ
617
00:46:55,240 --> 00:46:58,200
ุงู„ูˆุญูŠุฏ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุนุงู„ู… ุตุฑุงุญุฉ ุงู„ package ู‡ุฐุง
618
00:46:58,200 --> 00:47:03,600
ุงู„ู„ูŠ ุจูŠู‚ุฏุฑ ูŠุนู…ู„ simulation ู„ู„ู‚ุฑูŠู…ุฉ ูˆุณุฑูŠู…ุฉ univers
619
00:47:03,600 --> 00:47:08,460
ูˆ multivers ุดูˆ universุŸ ูŠุนู†ูŠ ุณู„ุณู„ุฉ ูˆุงุญุฏุฉุฒูŠ ู…ุง
620
00:47:08,460 --> 00:47:13,860
ุจู†ุญูƒูŠ ููŠ ู…ุงุฏุชู†ุง Multivariate ู…ุชุนุฏุฏ ู‡ูˆ ุจูŠุนู…ู„ ุดุบู„ ุงู„
621
00:47:13,860 --> 00:47:16,100
package ุงู„ู„ูŠ ุฃู†ุง ุนุงู…ู„ู‡ ูˆููŠ function ู…ู† ุถู…ู† ุงู„ ..
622
00:47:16,100 --> 00:47:19,040
ู‡ูˆ package ูƒุจูŠุฑ ูŠุนู†ูŠ ูˆู‡ูŠ ุนู„ู‰ ุงู„ website ู‡ู†ุง ูˆู‡ูŠ ู„ูˆ
623
00:47:19,040 --> 00:47:25,040
ุฏุบุทุช ู‡ู†ุง ู„ู‡ุง ุจูŠุฏุฎู„ูƒ ุนู„ู‰ ุงู„ website ุชุจุนุชูŠ ู‡ูˆ ุจุฑู…ุฌ
624
00:47:25,040 --> 00:47:29,140
ุนู„ู‰ ุงู„ univariate ุจูŠุดุชุบู„ ุดุบู„ univariate ุดุบู„ ู…ูŠู†
625
00:47:29,140 --> 00:47:33,940
Multivariate ู‡ุงูŠ ุงู„ู„ูŠ ู†ุฒู„ุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ source code
626
00:47:33,940 --> 00:47:38,130
ุงูŠุด ุงู„ source code ูŠุนู†ูŠุŸุงู„ code ุงู„ุนุตู„ูŠ ุงู„ู„ูŠ ุงู†ุง
627
00:47:38,130 --> 00:47:41,910
ูƒุงุชุจู‡ ู…ูˆุฌูˆุฏ ุนู„ู‰ ุงู„ website ู„ู„ุนุงู„ู… ุงู„ู„ูŠ ุจุฏู‡ ูŠู†ุฒู„ ูˆ
628
00:47:41,910 --> 00:47:46,530
ูŠู†ุฒู„ู‡ ุงุฐุง ุจุนุฏ ู…ุง ุชู†ุฒู„ ุงู„ source code ุงู„ุงุตู„ ุงู†ู‡
629
00:47:46,530 --> 00:47:49,170
ู†ุฒู„ู‡ ุนู„ู‰ ุงู„ computer ูˆ ุณู‡ู„ ุฌุฏุง ู„ูˆ ุจุญุซุช ุนู„ู‰ ุงู„
630
00:47:49,170 --> 00:47:54,470
google ูƒูŠู ู†ู†ุฒู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ package ู…ุด ู…ู† ุงู„ crane
631
00:47:54,470 --> 00:47:57,970
ุงู„ crane ูˆูŠู† ูŠุนู†ูŠ ุงู„ website ุงู„ net ูŠุนู†ูŠ ู…ู† ุงู„
632
00:47:57,970 --> 00:48:01,690
source code ุณู‡ู„ ู†ุนู…ู„ู‡ ูุจู†ุฒู„ ุงู„ package ู„ุฌุฏูŠุฏ ุงู„
633
00:48:01,690 --> 00:48:04,590
version ุงุญุฏุซ ู„ุงู† ุงู„ version ู…ูˆุฌูˆุฏุฉ ุงู„ู„ูŠ ุงู†ุง ุนู…ู„ู‡ุง
634
00:48:04,590 --> 00:48:08,700
ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉุฒูŠุงุฏุฉ ุนู† ุงู„ version ุงู„ู„ู‰ ู…ูˆุฌูˆุฏุฉ
635
00:48:08,700 --> 00:48:11,960
ุนู„ู‰ ุงู„ crane ุงู†ู‡ ุจูŠุนู…ู„ ุฒู‰ ู…ุง ู‚ู„ุชู„ูƒูˆุง seasonal
636
00:48:11,960 --> 00:48:17,180
arima ูˆ seasonal varima varima ูŠุนู†ูŠ vector ูŠุนู†ูŠ
637
00:48:17,180 --> 00:48:22,680
multivariate ูู‡ูˆ ู…ุชู‚ุฏู… ุญู‚ูŠู‚ุฉ ุงู„ arima.sim ุงู„ู„ู‰
638
00:48:22,680 --> 00:48:27,740
ุงู†ุชูˆุง ุดูˆูุชูˆู‡ุง ู‚ุจู„ ุดูˆูŠุฉ ู‡ุง ุฏู‰ ูˆูŠู†ู‡ุง ุดุงูŠููŠู† arima
639
00:48:27,740 --> 00:48:34,360
.sim ู‡ุง ุฏู‰ ุจุชุนู…ู„ ุจุณ arima ุจุชุนู…ู„ุด seasonal ููŠุด ูˆู„ุง
640
00:48:34,360 --> 00:48:40,750
package ููŠ ุงู„ Rุจุนู…ู„ universe ุฌุฏูŠุฏ .. ุฌุฏูŠุฏ ู†ุฒู„
641
00:48:40,750 --> 00:48:45,650
ุจูุฌุฃุฉ ุฌุฏูŠุฏ ุงุณู…ู‡ ุณุฑูŠู…ุฉ ุจุนู…ู„ universe simulation
642
00:48:45,650 --> 00:48:50,150
ู„ู…ู†ุŸ ู„ู„ seasonal ุฃุฑูŠู…ุฉุŒ seasonal ูŠุนู†ูŠ ุณุฑูŠู…ุฉุŒ ุณุฑูŠู…ุฉ
643
00:48:50,150 --> 00:48:55,330
ุฃู‚ุตุฏ ููŠู‡ุง seasonal ู…ุนูŠู†ุชู‡ุŸ seasonal ุฃุฑูŠู…ุฉุŒ ุดูˆ ูŠุนู†ูŠ
644
00:48:55,330 --> 00:49:01,860
ุณุฑูŠู…ุฉุŸ ุดูˆ ูŠุนู†ูŠ ุฃุฑูŠู…ุฉุŸูŠุนู†ูŠ auto, regressive,
645
00:49:02,200 --> 00:49:07,120
moving, averageุŒ ู†ุญูŠุงูƒุŒ ู‡ู„ุฃุŒ ุณุฑูŠู…ุฉุŒ seasonalุŒ ุทูŠุจุŒ
646
00:49:07,120 --> 00:49:10,640
ุดูˆ ูŠุนู†ูŠ univariateุŸ ุณูŠุณู†ุง ูˆุงุญุฏุฉุŒ ุดูˆ ูŠุนู†ูŠ
647
00:49:10,640 --> 00:49:15,190
multivarianุŸููŠ ุงู„ุญูŠุงุฉ ุงู„ุนู…ู„ูŠุฉ ู…ุงุจู†ุญูƒูŠุด ุนู† ุณู„ุณู„ุฉ ูŠุง
648
00:49:15,190 --> 00:49:17,870
ุจู†ุงุชูŠุŒ ู…ุงุจู†ุญูƒูŠ ุนู† MultivariateุŒ ูŠุนู†ูŠ ู„ูˆ ุจุฏู†ุง ู†ุทู„ุน
649
00:49:17,870 --> 00:49:21,750
ุนู„ู‰ ุงู„ูˆุงู‚ุนุŒ ุจุตุฑุงุญุฉ ุงู„ูˆุงู‚ุน ุดูˆ ุจุฌูˆู‡ุŸ MultivariateุŒ
650
00:49:21,750 --> 00:49:24,810
ูุฅุฐุง ุฃู†ุง ู‡ู‚ูˆู„ูƒูˆุง ุดุบู„ุฉุŒ ุจุชู†ุฒู„ูˆุง ุงู„ package ู‡ุฐุง
651
00:49:24,810 --> 00:49:28,470
ุจุฑุงุญุชูƒูˆุงุŒ ุจุชุชุนู„ู…ูˆุง ุนู„ูŠู‡ุŒ ู„ู„ู…ุธู„ู…ูŠู† ูˆ ุงู„ุนู„ู…ุงุกุŒ ู‡ูˆ
652
00:49:28,470 --> 00:49:32,230
ุงู„ู„ูŠ ุจูŠุนู…ู„ ุงู„ seasonal ู‚ุฑูŠู…ุฉุŒ ุงู‡ุŒ ูˆ ู‡ูˆ ุงู„ package
653
00:49:32,230 --> 00:49:34,630
ุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุงู„ู„ูŠ ุจูŠุนู…ู„ Univariate ูˆ
654
00:49:34,630 --> 00:49:36,670
MultivariateุŒ ูŠู„ุง ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุฏูŠุฏุฉ ู…ุงุจู†ุญูƒูŠูƒ ูŠุง ุฑุจ
655
00:49:36,670 --> 00:49:36,950
ู†ุงุณุง