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1
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ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุทูŠุจ ุฃูƒู…ู„ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ
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ู„ู…ุง ุญูƒูŠู†ุง ุนู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ auto covariance ูˆ ุงู„ auto
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correlationูˆ ุฌูู†ุง ุนู†ุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sample
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autocovariance ูˆ ุงู„ sample autocorrelation ูˆ ุญูƒูŠู†ุง
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ุงู„ู…ุญุงุถุฑุฉ ู‡ูŠ ุจูŠู†ูƒู…ู„ ุงู„ุขู† ุทุจุนุง ู…ุง ุชุจู‚ู‰ ู…ู† ู‡ุฐุง
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ุงู„ู…ูˆุถูˆุน ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุญุงู„ูŠุฉ ุงู„ุชุนุฑูŠู ู„ู„ auto
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covariance sample ุงูˆ ุจู†ุณู…ูŠู‡ ุงู„ lag H sample
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autocovariance ู‡ูˆ ู…ุนุฑู ุนู„ู‰ ุงู†ู‡ gamma hat ุงู„ H ู‡ูˆ
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ุนุจุงุฑุฉ ุนู† ูˆุงุญุฏ ุนู„ู‰ Nุงู„ู€ T ุจูŠุจุฏุฃ ู…ู† H ุฒุงุฆุฏ ูˆุงุญุฏ ู‡ุงูŠูˆ
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ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ุฃู…ุงู…ู†ุง ุงู„ุชุนุฑูŠู XT minus X bar
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ู…ุถุฑูˆุจุง ููŠ XT minus H minus X bar ุฃูˆ ู‡ูˆ ู†ูุณู‡ ู‡ูˆ
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00:01:06,580 --> 00:01:10,700
ู†ูุณู‡ ุงู„ุชุนุฑูŠู ู‡ูˆ ู†ูุณู‡ ุงู†ู‡ ููŠ ู†ุงุณ ุจุชูƒุชุจูˆุง ูƒุฏู‡ ุจุนุถ
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ุงู„ูƒุชุจ ูˆ ููŠ ุจุนุถ ุงู„ูƒุชุจ ุจุชูƒุชุจูˆุง ูƒุฏู‡ูุจุฏู„ ู…ุง ุงู„ุฒู…ู† ูŠุจุฏุฃ
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ู…ู† H ุฒุงุฆุฏ ูˆุงุญุฏ ู…ู…ูƒู† ุงู„ุฒู…ู† ูŠุจุฏุฃ ู…ู† ูˆุงุญุฏ ูˆ ุจุฏู„ ู…ุง
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ูŠุฎุชู… ู‡ู†ุง ุนู†ุฏ ุงู„ุงู† ู‡ู†ุง ู‡ูŠุฎุชู… ุนู†ุฏ ู…ูŠู† ุงู† ู†ู‚ุตูŠ H ูˆ
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00:01:22,560 --> 00:01:26,680
ุทุจุนุง ู‡ู†ุง XT minus X bar ูˆ ุงุฐุง ูƒุงู† ุฒู…ู† T minus H
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00:01:26,680 --> 00:01:30,820
ู‡ู†ุง ู‡ูŠุตูŠุฑ ุงุณู…ู‡ T ุฒุงุฆุฏ H ูˆ X bar ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู†
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00:01:30,820 --> 00:01:33,660
ุงู„ Sample mean ุงู„ู…ุชูˆุณุท ุงู„ุญุณุงุจูŠ ุงู„ู„ูŠ ุงุญู†ุง ุญูƒูŠู†ุงู‡
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00:01:33,660 --> 00:01:38,460
ุชุจุน ุงู„ุนูŠู†ุฉุทุจ ูŠุนู†ูŠ ุจุฅู…ูƒุงู†ูƒ ุชุณุชุฎุฏู… ุฃูŠ ุชุนุฑูŠูุŒ ุงู„ุชุนุฑูŠู
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00:01:38,460 --> 00:01:42,160
ู‡ุฐุง ุฃูˆ ุงู„ุชุนุฑูŠู ุงู„ุชุงู†ูŠ ูƒู„ุง ู‡ู…ุง ู†ูุณ ุงู„ุดูŠุก ูˆ ู„ูˆ ููƒุฑุช
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00:01:42,160 --> 00:01:46,500
ูˆ ุนูˆุถุช ุจุงู„ H ุนููˆุง ุจุงู„ T ุจH ุฒุงุฆุฏ ูˆุงุญุฏ ููŠ ุงู„ุชุนุฑูŠู
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00:01:46,500 --> 00:01:51,160
ุงู„ุฃูˆู„ุงู†ูŠ ูุญู‚ูŠู‚ุฉ ู‡ูŠุนุทูŠูƒ ุงู„ุชุนุฑูŠู ุงู„ุชุงู†ูŠ ูˆ ู„ูˆ ุนูˆุถุช
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00:01:51,160 --> 00:01:54,400
ุจุงู„ T ู‡ู†ุง ู…ู† ูˆุงุญุฏ ุฅู„ู‰ N ู†ู‚ุณู… ุงู„ .. ูู†ูุณ ุงู„ุชุนุฑูŠููŠู†
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00:01:54,400 --> 00:01:59,250
ูŠู‚ุฏูˆุง ุฅู„ู‰ ุจุนุถู‡ู… ุงู„ุจุนุถ ููƒู„ุง ู‡ู…ุง ุตุญุจุงู„ู†ุณุจุฉ ู„ู‡ูˆ ุงู„ู€ H
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00:01:59,250 --> 00:02:03,870
sample autocorrelation ู‡ูˆ ุงู„ู…ุนุฑู ุนู„ู‰ ุฃู† ุฑูˆ ู‡ุงุช ุงู„ู€
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00:02:03,870 --> 00:02:08,210
H ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ autocovariance ู„ู„ู€ sample ุนู†ุฏ ุงู„
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00:02:08,210 --> 00:02:11,830
lag H ุนู„ู‰ ุงู„ autocovariance ุนู†ุฏ ุงู„ lag 0 ูˆุทุจุนุง
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00:02:11,830 --> 00:02:14,690
ุงู„ู…ู‚ุงู… ู‡ุฐุง ูŠุนู†ูŠ autocovariance ุนู†ุฏ ุงู„ lag 0 ูŠุนู†ูŠ
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00:02:14,690 --> 00:02:19,390
ู‡ูŠ ุงู„ varianceูู‡ุฐุง ู‡ูˆ ุงู„ variance ูุจุฅู…ูƒุงู†ูƒ ุชุณุชุฎุฏู…
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00:02:19,390 --> 00:02:24,610
ู…ู† ุงู„ุชุนุฑูŠู ุงู„ุฃูˆู„ุงู†ูŠ ู‡ุฐุง ุชุญุทู‡ ู‡ู†ุง ุจุงุณุช ุทุจุนุง ูˆุงุญุฏ
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00:02:24,610 --> 00:02:28,590
ุนู„ู‰ ุงู† ู…ุน ู‚ุงู…ุฉ ูˆุจุงุณุช ุจุฑูˆุญู‡ ูุจุตู ุงู„ุจุงุณุช ู…ู† ุงู„ุชุนุฑูŠู
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00:02:28,590 --> 00:02:32,550
ุงู„ุฃูˆู„ ุงูˆ ู…ู† ุงู„ุชุนุฑูŠู ุงู„ุชุงู†ูŠ ุงู†ุง ู‡ู†ุง ู…ุณุชุฎุฏู… ุฃูŠ ุชุนุฑูŠู
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00:02:32,550 --> 00:02:36,810
ุงู„ุชุนุฑูŠู ุงู„ุชุงู†ูŠ ู„ูƒู† ุจูŠุตูŠุฑ ุงู†ูƒ ุชุงุฎุฏ ู…ูŠู† ุงู„ุฃูˆู„ุงู†ูŠ
34
00:02:36,810 --> 00:02:40,570
ูŠุนู†ูŠ ุจุฏู„ ู…ุง T ุชุจุฏุฃ ู…ู† ูˆุงุญุฏ ุงู„ู‰ N ู†ู‚ุต ุงู„ H ูˆ ุจุฏู„ ู…ุง
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00:02:40,570 --> 00:02:46,290
ูŠูƒูˆู† T ุฒุงุฆุฏ H ู‡ู†ุง ู‡ู†ุง ู‡ูŠุตูŠุฑุด ู‡ูˆุงู„ู€ T ุชุจุฏุฃ ู…ู† H
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00:02:46,290 --> 00:02:51,050
ุฒุงุฆุฏ ูˆุงุญุฏ high ู†ูŠุญุฉ ุงู„ุชุนุฑูŠู ู‡ุฐุง ูˆ ุจุฏู„ ู…ุง ูŠูƒูˆู† T
37
00:02:51,050 --> 00:02:55,590
ุฒุงุฆุฏ H ู‡ูŠูƒูˆู† T minus H ูˆ ุฃุทุจูŠุนูŠ ู‡ุฐุง ุงู„ุขู† ุงู„ู„ูŠ ู‡ูˆ
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00:02:55,590 --> 00:02:58,750
ุงู„ variance ูˆ ุฅุฐุง ุจุชุฐูƒุฑูˆุง ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ู‚ู„ู†ุง
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00:02:58,750 --> 00:03:02,670
ุจุฅู†ู‡ ุงู„ auto correlation ู‚ูŠู…ุชู‡ ู„ุง ุชุชุฌุงูˆุฒ ุงู„ุณู„ุจ
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00:03:02,670 --> 00:03:06,690
ูˆุงุญุฏ ู…ู† ุชุญุช ูˆ ุงู„ูˆุงุญุฏ ู…ู† ููˆู‚ ูู‡ูˆ ู…ุญุตูˆุฑ ู…ุง ุจูŠู† ุงู„ุณู„ุจ
41
00:03:06,690 --> 00:03:11,030
ูˆุงุญุฏ ูˆ ู…ูŠู† ูˆุงุญุฏ ุบูŠุฑ ู‡ูŠูƒ ุงู†ุณู‰ ุงู„ู…ูˆุถูˆุน ุฅุฐุง ุบูŠุฑ ู‡ูŠูƒ
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00:03:11,030 --> 00:03:15,120
ุทู„ุนุชู‡ ู…ุนู†ุงุชู‡ ุฃู†ุช ุจุชูƒูˆู† ู…ุฎุทุฆููŠ ุงู„ูˆู‚ุช ุงู„ู„ูŠู‡ุงู† ู…ุงููŠุด
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00:03:15,120 --> 00:03:19,660
restrictionsุŒ ู…ุงููŠุด ู‚ูŠูˆุฏุŒ ู…ู…ูƒู† ูŠูƒูˆู† ุฃูŠ ู‚ูŠู…ุฉุŒ ู†ุญู†
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00:03:19,660 --> 00:03:23,300
ุทูŠุจ ุงู„ุชุนุฑูŠู ุงู„ุฃูˆู„ุงู†ูŠ ุฃูˆ ุงู„ุชุงู†ูŠ ุฃูˆ ูƒู„ุงู‡ู…ุง ู…ุน
45
00:03:23,300 --> 00:03:26,920
ุงู„ุชุนุฑูŠู ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠู‡ุงู† ุญูุธ ูู…ุทู„ูˆุจ ู…ู†ู†ุง
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00:03:26,920 --> 00:03:31,560
ู†ุญูุธู‡ู…ุŒ ู…ุงุดูŠ ุงู„ุญุงู†ุŸูˆูŠู…ูƒู† ู†ุฌูŠุจ ุณุคุงู„ ุงู…ุชุญุงู† ูˆูŠู…ูƒู† ู…ุง
47
00:03:31,560 --> 00:03:35,920
ู†ุฌูŠุจุด ุงู†ุช ูˆุญุธูƒ ุจุณ ููŠ ุฌู…ูŠุน ุงู„ุฃุญูˆุงู„ ุงู„ู…ูˆุถูˆุน ุณู‡ู„ ู…ุด
48
00:03:35,920 --> 00:03:41,600
ุตุนุจ ู…ุงุดูŠ ูููŠ ุฅู…ูƒุงู†ูƒ ุงู†ุช ุงู„ุขู† ูŠุนู†ูŠ ุชุณุชุฎุฏู… ู…ุง ุชุฑุงู‡
49
00:03:41,600 --> 00:03:46,760
ู…ู†ุงุณุจุง ู…ู† ุงู„ุชุนุฑูŠููŠู† ุงู„ุงุฎุฑูŠ ูู„ุงู† ู†ุฃุชูŠ ู„ู…ุซุงู„ ุชุทุจูŠู‚ูŠ
50
00:03:46,760 --> 00:03:52,080
ุญุณุจ ุงู„ุชุนุฑูŠู ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ู‡ู†ุง ุฃู…ุงู…ูŠ ุงู„ู…ุซุงู„ ุจูŠู‚ูˆู„ ู‡ุฐุง
51
00:03:52,080 --> 00:03:57,100
ุงู„ุขู† ุฌูŠุจู„ูŠ ุงู„ุฑูˆู‡ุงุช ุนู†ุฏ ุงู„ lag h ุญูŠุซ ุงู† ุงู„ h ุชุณุงูˆูŠ
52
00:03:57,100 --> 00:04:01,820
ูˆุงุญุฏ ูˆุงุชู†ูŠู† ูˆุชู„ุงุชุฉู‡ู†ุง ู„ุงุฌ ุฅุชุด ู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู†
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00:04:01,820 --> 00:04:05,040
ุงู„ุฒู…ุงู†ูŠู† ูŠูƒูˆู† ูˆุงุญุฏ ุฃูˆ ูŠูƒูˆู† ุงุชู†ูŠู† ุฃูˆ ุชู„ุงุชุฉ ุฃู†ุง
54
00:04:05,040 --> 00:04:10,340
ุตุฑุงุญุฉ ูŠุนู†ูŠ ู‡ู†ุง ู…ุด ู‡ุฌูŠุจ ุนู†ุฏ ุงู„ zero ู„ุฅู†ู‡ ู…ุนุฑูˆู ุฅู†
55
00:04:10,340 --> 00:04:15,220
ุงู„ุฑูˆุญ ุนู†ุฏ ุงู„ zero ู‡ูŠุทู„ุน ูˆุงุญุฏ ู…ุตุจูˆุญ ูˆ ุงู„ู„ูŠ ุจุฏู‡
56
00:04:15,220 --> 00:04:20,220
ูŠุชุฃูƒุฏ ุจูŠู…ูƒู†ู‡ ูŠุชุฃูƒุฏุทูŠุจ ูˆู…ุนุทูŠูƒ ุงู†ุง ุงู„ time ุงู„ุณู„ุงุณู„
57
00:04:20,220 --> 00:04:24,480
ุงู„ุฒู…ู†ูŠุฉ ุงู„ time ู‡ู†ุง ู…ู† ูˆุงุญุฏ ุงู„ู‰ ุนุดุฑุฉ ูˆู‡ุฐู‡ ุงู„ุฒุชุฉ
58
00:04:24,480 --> 00:04:28,180
ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู„ู‚ูŠู… ุงู„ู„ู‰ ู…ูˆุฌูˆุฏุฉ ุฃู…ุงู…ู‰ ู…ู…ูƒู†
59
00:04:28,180 --> 00:04:32,700
ุชุนุชุจุฑู‡ุง ู…ุซู„ุง ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ููŠ ุดู‡ุฑ ู…ุนูŠู† ุนุจุฑ ุนุดุฑ
60
00:04:32,700 --> 00:04:40,380
ุฃูŠุงู… ู…ู…ูƒู† ุชุนุชุจุฑู‡ู… ุฎู„ูŠู†ุง ู†ู‚ูˆู„ ู…ุซู„ุง ู…ุชูˆุณุท ูƒู…ูŠุฉ ุงู„ู…ุทุฑ
61
00:04:40,380 --> 00:04:47,230
ุจู†ุฒู„ ููŠ ุงู„ุฃุดู‡ุฑ ุงู„ุนุดุฑุฉ ู‡ุงูŠุดู‡ุฑ ูˆุงุญุฏ ุฅู„ู‰ ุดู‡ุฑ ุนุดุฑุฉ
62
00:04:47,230 --> 00:04:55,850
ู…ุซู„ุง ู…ู…ูƒู† ุชุนุชุจุฑู‡ ู…ุซู„ุง ู†ุณุจุฉ ุงู„ู…ู„ูˆุญุฉ ุงุฐุง ุจุชุญุจ ูŠุนู†ูŠ
63
00:04:55,850 --> 00:05:00,370
ููŠ ุนุดุฑ ุดู‡ูˆุฑ ููŠ ุงู„ู‚ุจุงุฑ ุงู„ุฌูˆููŠุฉ ุงู„ู…ู‡ู… ู‡ูŠ ุนุดุฑ ุณู†ูˆุงุช
64
00:05:00,370 --> 00:05:05,230
ุนุดุฑ ุดู‡ูˆุฑ ุนุดุฑ ุฃูŠุงู… ุนุดุฑ ุฃุณุงุจูŠุน ูˆู‡ุฏู‡ ู‡ูŠ ุงู„ุณู„ุณู„ุฉ ูˆุทุงู„ุจ
65
00:05:05,230 --> 00:05:08,530
ู…ู†ูƒ ู‡ุชู‚ู„ ุงู„ auto correlation ุนู†ุฏ ุงู„ lag ูˆุงุญุฏ
66
00:05:08,530 --> 00:05:13,350
ูˆุงุชู†ูŠู† ูˆุชู„ุงุชุฉ ุฎู„ูŠู†ูŠ ุฃูƒุจุฑ ุดูˆูŠุฉ ุจุณ ุฃุนู…ุฒู‡ู… ุนุดุงู† ู†ุดูˆู
67
00:05:13,350 --> 00:05:17,420
ุงู„ุตูุญุฉ ุดูˆูŠุฉู‡ู„ุง ู„ูˆ ู†ูุชุฑุถ ุฃู†ูƒ ุจุฏูƒ ุชุณุชุฎุฏู… ุงู„ุชุนุฑูŠู
68
00:05:17,420 --> 00:05:21,660
ุงู„ุชุงู†ูŠ ุงู„ุชุนุฑูŠู ุงู„ุชุงู†ูŠ ู‡ู„ุง ู†ุฑุฌุน ู„ู„ุชุนุฑูŠู ุงู„ุชุงู†ูŠ ู…ุนู„ุด
69
00:05:21,660 --> 00:05:27,940
ุงู„ุชุนุฑูŠู ุงู„ุชุงู†ูŠ ุชุจุน ุงู„ auto covariance ู‡ูŠ ู‡ุฐูŠูƒ ูƒุงู†
70
00:05:27,940 --> 00:05:32,500
ุงุณู…ู‡ุง ู‚ุจู„ ุดูˆูŠุฉ ZT ู‡ุฐูŠ ุงุณู…ู‡ XT ู…ุด ู…ุดูƒู„ุฉ ZT XT ู†ูุณ
71
00:05:32,500 --> 00:05:37,220
ุงู„ูƒู„ุงู… ููˆุงุถุญ ุฃู† ZT ู‡ูŠ ุงู„ู…ุนุทุงุก ู„ูƒ ุจุฏูƒ ุชุฌูŠุจ ุงู„ูŠู…ูŠู†
72
00:05:37,220 --> 00:05:43,350
ูˆูˆุณุท ุงู„ุญุณุงุจูŠ ู„ู„ Z ู…ุชูˆุณุทุงุชู‡ู… ูˆ ุจุฏูƒ ุชุฌูŠุจ ุดูŠุก ุงุณู…ู‡ ZT
73
00:05:43,350 --> 00:05:46,450
ุฒุงุฆุฏ H ูˆ ุงู„ู€ H ู‡ู†ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ lag ูŠุง ูˆุงุญุฏ ูŠุง ุงุชู†ูŠู†
74
00:05:46,450 --> 00:05:52,070
ูŠุง ุชู„ุงุชุฉ ุงู„ุงุฎุฑู‡ ูุจุชุฌูŠุจ ุนู…ูˆุฏ ุฌุฏูŠุฏ ุงุณู…ู‡ T ุฒุงุฆุฏ ูˆุงุญุฏ
75
00:05:52,070 --> 00:05:57,270
T ุฒุงุฆุฏ ุงุชู†ูŠู† ุนู„ู‰ ุฃุณุงุณ ุงู„ู€ H ู‡ูŠ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ูˆ ู…ู†
76
00:05:57,270 --> 00:06:03,670
ุซู… ุชุถุฑุจ ุงู„ูุฑู‚ ุจูŠู† XT ุงู„ู„ูŠ ู‡ูŠ ZT ูŠุนู†ูŠ ูˆ ุจูŠู† ู…ุชูˆุณุทู‡ุง
77
00:06:03,670 --> 00:06:07,890
ูˆ ุจูŠู† ZT ุฒุงุฆุฏ ูˆุงุญุฏ ูˆ ู…ูŠู† ู…ุชูˆุณุทู‡ุง ูˆ ุชุฌู…ุน ูˆ ู…ู† ุซู…
78
00:06:07,890 --> 00:06:11,430
ุชู‚ุณู… ุนู„ู‰ ู…ูŠู† ุนู„ู‰ ุงู† ุนุดุงู† ูŠุทู„ุน ู…ูŠู† ุงู„ auto
79
00:06:11,430 --> 00:06:14,970
covarianceู‡ูˆ ู…ุงุจุฏูˆุด auto covariance ููŠ ุงู„ู…ุซุงู„ ุจุฏู‡
80
00:06:14,970 --> 00:06:18,210
meaning auto correlation ูˆ ู„ุฐู„ูƒ ู‡ู†ุทุจู‚ ุนู„ู‰ ู‡ุฐุง
81
00:06:18,210 --> 00:06:23,290
ุงู„ู‚ุงุนุฏุฉ ู…ู†ูŠุญุŸ ู…ู†ูŠุญ ูŠุงู‡ุŸ ูุฅุฐุง ู‡ู†ุฌูŠุจ ZT ุงู„ู„ูŠ already
82
00:06:23,290 --> 00:06:28,110
ู…ุนุทุงู‡ ู†ู‚ุต ุงู„ูˆุณุท ุญุณุงุจูŠ ZT ุฒุงุฆุฏ ูˆุงุญุฏ ZT ุฒุงุฆุฏ ุงุชู†ูŠู†
83
00:06:28,110 --> 00:06:31,930
and so on ุญุณุจ ุงู„ู‚ูˆุงู†ูŠู† ุงู„ู„ูŠ ุจุฏูˆูŠุงู‡ุง ูˆ ู†ู‚ุณู… ุนู„ู‰
84
00:06:31,930 --> 00:06:36,330
ุงู„ู„ูŠ ู‡ูˆ meaning summation ZT ู†ุงู‚ุต X bar ุงู„ูƒู„ ุชุฑุจูŠู‡
85
00:06:36,330 --> 00:06:40,150
ู…ู†ูŠุญ ูŠุงู‡ุŸ ู‡ุชู†ุจู„ุด ู†ุนู…ู„ ู‡ุฐุง ุงู„ุดุบู„ ูˆ ู„ุฐู„ูƒ ุงู†ุชูˆุง
86
00:06:40,150 --> 00:06:44,670
ู…ู„ุงุญุธูŠู† ุงู„ุนู…ูˆุฏ ู‡ุฐุงุงู„ุงุณู…ู‡ ZT ุฒุงุฆุฏ ูˆุงุญุฏ ุงู†ุช ุงู„ุขู† ุจุฏูƒ
87
00:06:44,670 --> 00:06:48,710
ุชุฌูŠุจู‡ ูˆ ZT ุฒุงุฆุฏ ุงุชู†ูŠู† ูˆ ZT ุฒุงุฆุฏ ุชู„ุงุชุฉ ู…ู†ูŠุญุŸ
88
00:06:48,710 --> 00:06:53,790
ูุงู„ุดุจุงุจ ู„ูˆ ุทู„ุนูˆุง ุงู† ู‡ุฐุง ู‡ูˆ ุงู„ู…ุนุทู‰ ZT ุฒุงุฆุฏ ูˆุงุญุฏ ุดูˆ
89
00:06:53,790 --> 00:06:57,630
ู‡ูŠูƒูˆู† ููƒุฑูƒูˆุงุŸ ุงุฐุง ูƒุงู†ุช ู‡ุฐู‡ ุงู„ุซู„ุงุซุงุด ู‡ูŠ ุนู†ุฏ ุงู„ุฒู…ู†
90
00:06:57,630 --> 00:07:01,110
ูˆุงุญุฏ ูˆ ู‡ุฐู‡ ุชู…ุงู†ูŠุฉ ุนู†ุฏ ุงู„ุฒู…ู† ูˆุงุญุฏ ุฒุงุฆุฏ ุง ุชุฒุงูŠุฏ ูˆุงุญุฏ
91
00:07:01,110 --> 00:07:05,170
ูŠุนู†ูŠ ู‡ุชูƒูˆู† ู‡ูŠ ุงูˆู„ ูˆุงุญุฏุฉ ุชุฒุงูŠุฏ ุชู„ุงุชุฉ ูˆุฎู…ุณุงุด ู‡ูŠ
92
00:07:05,170 --> 00:07:09,250
ู‡ุชูƒูˆู† ุชุงู†ูŠ ูˆุงุญุฏุฉ ูŠุนู†ูŠ ุงู„ุตุฑุงุญุฉ ุงู„ุชุงู†ูŠุฉ ู‡ูŠ ุงู„ุฃูˆู„ู‰
93
00:07:09,250 --> 00:07:14,590
ู‡ุชุตูŠุฑ ูˆ ุงู„ุชุงู„ุชุฉู‡ู‰ ุงู„ุชุงู†ูŠุฉ ูˆ ุงู„ุฑุงุจุนุฉ ู‡ู‰ ุงู„ุชุงู„ุชุฉ ูˆ
94
00:07:14,590 --> 00:07:18,510
ู‡ูƒุฐุง ุจุชู…ุดูŠ ููƒุฑูƒ ู„ูˆุงุญุฏ ุชู‚ู ู„ู„ูŠ ู‚ุจู„ ุงู„ุฃุฎูŠุฑุฉ ู„ู„ูŠ ู‚ุจู„
95
00:07:18,510 --> 00:07:21,870
ุงู„ุฃุฎูŠุฑุฉ ู„ ุงู„ุฃุฎูŠุฑุฉ ู…ูŠู† ู‡ู‰ ุงู„ุฃุฎูŠุฑุฉ ุงุชู†ุงุดุฑ ุจุณ ู‡ู‰
96
00:07:21,870 --> 00:07:24,510
ุจุชูƒูˆู† ู‚ุจู„ ุงู„ุฃุฎูŠุฑุฉ ูุฅุฐุง ุฃู†ุง ู‚ุจู„ ุงู„ุฃุฎูŠุฑุฉ ูุงุถูŠุฉ ู‡ุงู†
97
00:07:24,510 --> 00:07:27,570
ู„ุฅู†ู‡ ุจุนุฏู‡ุง ู…ุงุจู†ูุน ุงุชูƒู…ู„ ุดูˆ ุจุนุฏ ุงู„ุฃุชู†ุงุดุฑ ู‡ุงู† ููŠุด
98
00:07:27,570 --> 00:07:32,810
ูุงู†ุช ู…ุงุจุชุนุฑู ุดูˆ ุจุนุฏู‡ุง ุฎู„ุงุต ุจุชู‚ู ู‡ุฐุง T ุฒุงุฏ ูˆุงุญุฏ ุทุจ
99
00:07:32,810 --> 00:07:37,830
ู…ูŠู† ูŠู‚ูˆู„ ู„ูŠ T ุฒุงุฏ ุงุชู†ูŠู† ู‡ู„ุฃ ู…ู† ุงู†ุช ู…ู† ุงูŠู†ุŸู…ู†
100
00:07:37,830 --> 00:07:42,150
ุงู„ุชู„ุชุงุดุŸ ูˆู„ุง ู…ู† ุงู„ุชู…ุงู†ูŠุฉุŸ ุงู‡ ู…ู† ุงู„ุชุงู„ุชุฉุŒ ู…ู† ู‡ูŠุŸ
101
00:07:42,150 --> 00:07:48,650
ุฎู…ุณุชุงุดุŒ ุฎู…ุณุชุงุดุŒ ุงุฑุจุนุฉุŒ ุจุนุฏูŠู† ุงุฑุจุนุฉุŒ ุจุนุฏูŠู† ุงุชู†ุงุดุŒ
102
00:07:48,650 --> 00:07:53,910
ูˆู‡ุง ูƒุฏู‡ุŒ ู…ุงุดูŠ ุงู„ุญุงู„ุŸ ููŠ ุงูŠ ู…ุดูƒู„ุฉุŸ ุทุจุนุง ูˆุงุถุญ ุงู† ุงุฎุฑ
103
00:07:53,910 --> 00:07:57,890
ู‚ูŠู…ุชูŠู† ู…ุง ู„ู‡ู…ุŸ ู…ุงููŠุด ู…ุงููŠุดุŒ ูุถูŠุงู„ุŒ ุทุจ ุฒุฏุชูŠ ุฒุงุฏ
104
00:07:57,890 --> 00:08:05,230
ุชู„ุงุชุฉุŸ ุงู‡ุŸ ู…ู† ูˆูŠู†ุŸ ูŠุนู†ูŠ ุงู†ุช ุจุฏูƒ ุชูƒู…ู„ ู…ู† ุงู„ู„ูŠ ู‚ุจู„ู‡ุง
105
00:08:05,230 --> 00:08:09,240
ู…ู† ู‡ู†ุง ูˆู‚ูุช ุนู†ุฏ ู‡ู†ุงุŸุฎู…ุณุชุงุด .. ุจุนุฏูŠู† ู…ูŠุฌูŠ ู…ู†ู‡ู…
106
00:08:09,240 --> 00:08:12,980
ูŠุนุฏูŠู‡ุง ู„ุฎู…ุณุชุงุด ุฃุฑุจุนุฉ ูุชุญุท ู‡ูŠู‡ุง .. ุจู…ุดูŠ ุงู„ุญู„ ..
107
00:08:12,980 --> 00:08:16,560
ุฃุฑุจุนุฉ ู‡ูŠ .. ุจุนุฏูŠู† ุฃุฑุจุนุฉ .. ุงุชู†ุงุด .. ูˆ ุจุชุฌูŠ ุนู†ุฏ ู…ูŠู†
108
00:08:16,560 --> 00:08:19,820
.. ุงุชู†ุงุด .. ูˆ ุจุนุฏูŠู† ู‡ุฏูˆู„ ุงู„ู‚ูŠู… ู…ุงู„ู‡ู… .. ูุด .. ู…ุด
109
00:08:19,820 --> 00:08:24,280
ู…ูˆุฌูˆุฏุงุช .. and so on ู„ูˆ ุจุฏูƒ ุชูƒู…ู„ .. ู…ุตุจูˆุญ .. ู‡ูˆ
110
00:08:24,280 --> 00:08:30,080
ุทุจุนุง ู…ุง ุจุฏู‡ ุฅู„ุง ุจุณ ุนู†ุฏ ู„ุงุฌ ู…ูŠู† .. ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ูˆ
111
00:08:30,080 --> 00:08:33,580
ุชู„ุงุชุฉ .. ู…ุตุจูˆุญ .. ู…ุตุจูˆุญ ูˆู„ุง ู„ุง .. ูุฅุฐุง ู‡ุฐุง ู‡ูˆ ..ุทุจ
112
00:08:33,580 --> 00:08:36,400
ุงู„ุณุคุงู„ ู‡ุฐุง ู„ูˆ ุจุฏูƒ ุชุจุฏุฃ ู…ู† ู…ูŠู†ุŸ ู‚ุงู†ูˆู† ุชุงู†ูŠ ุฃุจูˆ T ุฒ
113
00:08:36,400 --> 00:08:42,600
ุฅุชุด ุทุจ ู„ูˆ ุจุฏูƒ T ู†ู‚ุต H T ู†ู‚ุต H ุดูˆ ู‡ุชุฒูŠุจุŸ ุฒูŠุช T ู†ู‚ุต
114
00:08:42,600 --> 00:08:47,400
ูˆุงุญุฏ ูˆุฒูŠุช T ู†ู‚ุต ุงุชู†ูŠู† ูˆุฒูŠุช T ู†ู‚ุต ุชู„ุงุชุฉ ุตุญุŸ ููŠู„ู‡
115
00:08:47,400 --> 00:08:51,220
ุนุดุงู† ุชุฌูŠุจ T ู†ู‚ุต ูˆุงุญุฏ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุนู…ูˆุฏ ู‡ุฐุง ูƒูŠู
116
00:08:51,220 --> 00:08:57,260
ุจุชุฌูŠุจูˆุง ู‡ุฐุงุŸ ุงูˆ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุญุชูƒูˆู† ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ู†ู‡ุŸ
117
00:08:58,160 --> 00:09:02,080
ูˆู…ู† ุชุงู†ูŠ ู‚ูŠู…ุฉ ู‡ุชูƒูˆู† ุชู„ุชุงุด ู‡ุฐู‡ ู…ู† ุงูŠู‡ุŸ ุชู„ุชุงุด ู‡ูŠ
118
00:09:02,080 --> 00:09:06,740
ู‡ุชุตูŠุฑ ู…ู†ุŸ ุงู„ู„ูŠ ู‡ูŠ ู‡ุงู† ูŠุนู†ูŠ ูˆูƒุฃู†ู‡ ู‡ุฐุง ุงู„ุนู…ูˆุฏ ุงู„ู„ูŠ
119
00:09:06,740 --> 00:09:10,880
ุฃู†ุง ุงู„ุขู† ุงู„ู…ูˆุฒ ุดุบุงู„ ุนู„ูŠู‡ ู…ุน ุงู„ุนู…ูˆุฏ ู‡ุฐุง ูˆูƒุฃู†ู‡ ู‡ุฐุง
120
00:09:10,880 --> 00:09:15,720
ู‡ูŠ ุงู„ุฒู…ู† T ูˆู‡ุงุฏูŠ T ุฒุงุฆุฏ ูˆุงุญุฏ ุงูˆ ู‡ุงุฏูŠ T ูˆู‡ุงุฏูŠ T
121
00:09:15,720 --> 00:09:19,440
ู†ุงุฌุณ ูˆุงุญุฏ ูƒู„ุง ู‡ู…ุง ู†ูุณ ุงู„ู…ุนู†ู‰ ูˆู„ุง ู„ุงุŸ ูˆู„ูˆ ุงุทู„ุนุชู‡
122
00:09:19,440 --> 00:09:24,860
ุณุชุฌุฏูˆุง ู„ู‚ุจุงู„ ุงู„ุชู„ุชุงุด ู‡ุฐู‡ ุทู„ุนุช ุชู„ุชุงุด ู‡ุงูŠ ุดูˆ ู‚ุจุงู„ู‡ุงุŸ
123
00:09:24,860 --> 00:09:30,710
ุชู…ุงู†ูŠุฉ ู…ุตุจูˆุทุŸู‚ุจู„ ุงู„ุชู„ุชุงุด ุชู…ุงู†ูŠุฉ ู‡ุงูŠ ูƒู…ุงู† ู…ุฑุฉ ุชู„ุชุงุด
124
00:09:30,710 --> 00:09:35,190
ู‚ุจู„ู‡ุง ู…ูŠู† ุชู…ุงู†ูŠุฉ ูˆู‡ู†ุง ุจุงู„ู„ู‡ ุชุชุทู„ุนูˆุง ู‚ุจู„ ุงู„ุชู„ุชุงุด ู‡ู†
125
00:09:35,190 --> 00:09:42,050
ู…ูŠู† ุชู…ุงู†ูŠุฉ ุตุญ ูˆุงุถุญ ูˆู„ุง ู…ุด ูˆุงุถุญ ุณุคุงู„ูŠ ุงู„ุฎู…ุณุชุงุด ู‡ุฐูŠ
126
00:09:42,050 --> 00:09:45,890
ู‚ุจู„ู‡ุง ู…ูŠู† ุฃุฑุจุน ุฃุฑุจุน ู…ุธุจูˆุท ูˆู„ุง ู„ุง ุทู„ุนูˆู„ูŠ ู‡ุงู†
127
00:09:45,890 --> 00:09:49,250
ุงู„ุฎู…ุณุชุงุด ู‡ุฐูŠ ุงู„ู„ูŠ ู‡ู†ู‚ุจู„ู‡ุง ุดูˆุฉ ูˆูŠู†ู‡ุง ุงู„ุฎู…ุณุชุงุด ุงู„ู„ูŠ
128
00:09:49,250 --> 00:09:53,850
ู‡ู†ู…ุดูŠ ู…ุดูŠ ู…ุดูŠ ู‚ุจู„ู‡ุง ู…ูŠู† ุฃุฑุจุน ุฅุฐุง ุฎู„ู‘ูŠู†ูŠ ุฃู‚ูˆู„ ุฎู„ุงุตุฉ
129
00:09:53,850 --> 00:09:59,910
ุฃู† T ุฒูŠ T ุชุงุฎุฏ ู…ุนู‡ุง T ุฒูŠ 1ุฃูˆ ุชุงุฎุฏ ู…ุนุงู‡ T ู†ู‚ุต ูˆุงุญุฏ
130
00:09:59,910 --> 00:10:03,210
ู…ุน ู…ุฑุงุนุงุฉ ุฃู†ูƒ ุชุณูŠุจ ุงู„ูุฑู‚ ุงู„ู„ูŠ ู‡ูˆ ูŠุง ุฅู…ุง ุจุงู„ุฃูˆู„ ูŠุง
131
00:10:03,210 --> 00:10:06,850
ุจุงู„ุฃุฎุฑ ูŠู‚ุฏูŠ ู„ู†ูุณ ุงู„ ุฅูŠุดุŸ ุงู„ุฌูˆุงุจ ูˆ ู„ุฐู„ูƒ ุงู„ู‚ุงู†ูˆู†ูŠู†
132
00:10:06,850 --> 00:10:10,710
ุงู„ู„ูŠ ุญุฏุซูˆุง ู‚ุจู„ ุดูˆูŠุฉ ุดูู†ุงู‡ู… ู‡ู… ุนู…ู„ูŠุง ู†ูุณ ุงู„ู‚ุงู†ูˆู†ุŒ
133
00:10:10,710 --> 00:10:15,730
ู†ุญูŠูƒุŸ ุณุคุงู„ ูŠุง ุดุจุงุจ T ู†ู‚ุต ุงุชู†ูŠู† ูƒูŠู ุชุฌูŠุจูˆู‡ ุงู„ู„ู‡ุŸ
134
00:10:15,730 --> 00:10:19,990
ุจู†ุณูŠุจ ุฅูŠุดุŸ ุฃูˆู„ ู‚ูŠู…ุฉ ูˆ ุชุงู†ูŠ ู‚ูŠู…ุฉุŒ ุซู… ุจุนุฏ ุฐู„ูƒ ุจู†ุจุฏุฃ
135
00:10:19,990 --> 00:10:25,450
ู…ู† ู…ูŠู†ุŸ ุชู„ุชุงุดุŸ ุชู…ุงู†ูŠุฉุŸุฎู…ุณุงุดุŒ ุฃุฑุจุนุฉุŒ ููƒุฑุฉ ูƒูˆู†
136
00:10:25,450 --> 00:10:29,210
ุจูŠุฎุชู…ุŸ ุงู„ุณุจุนุฉุŒ ุงู„ุณุจุนุฉุŒ ู‡ุฐุง ุฎุชู… ุนู†ุฏ ูˆูŠู† ุจุงู„ู…ู†ุงุณุจุฉุŸ
137
00:10:29,210 --> 00:10:34,210
ุนู†ุฏ ุงู„ุงุฑุจุนุชุงุดุŒ ู‡ู†ุง ุฎุชู… ุนู†ุฏ ุงู„ุงุฑุจุนุชุงุดุŒ ู†ุญู† ู‡ูŠ ุฎุชู…
138
00:10:34,210 --> 00:10:38,010
ุนู†ุฏ ุงู„ุงุฑุจุนุชุงุดุŒ ู…ุงุฎุฏู…ุด ุนู†ุฏ ุงุชู†ุงุดุŒ ู„ุฃู†ู‡ ุจุนุฏู‡ุง ู„ูˆ ุจุฏู‡
139
00:10:38,010 --> 00:10:41,730
ูŠูƒู…ู„ุŒ ุจุนุฏ ุงู„ุงุฑุจุนุชุงุดุŒ ุจุนุฏู‡ุง ุงุชู†ุงุดุŒ ูุจุตูŠุฑ ู‡ู†ุง ููŠุด
140
00:10:41,730 --> 00:10:46,470
ุฅูŠุด ูŠู‚ุจู„ู‡ ู‡ู†ุงุŒ ู†ุญู†ุŒ ูุฅุฐุง ู…ู† ุงู„ู…ู†ุทู‚ ุฃู†ู‡ ูŠุฎุชู… ู‡ู†ุง
141
00:10:46,700 --> 00:10:51,140
ุฎู„ุตุชู‡ ุงุฐุง ู‡ุฐุง .. ู‡ุฐุง ุงู„ุดูŠุก ุงู„ู„ูŠ ุงู†ุง ุงู†ุง ุนู…ุงู„ูŠ
142
00:10:51,140 --> 00:10:56,140
ุจุนู…ู„ู‡ ุงู„ุงุนู…ุฏุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู†ุช ุชุจุฏุฃ T ุฒุงุฆุฏ ูˆุงุญุฏ T
143
00:10:56,140 --> 00:11:00,480
ุฒุงุฆุฏ ุงุชู†ูŠู† T ุฒุงุฆุฏ ุชู„ุงุชุฉ ุงูˆ ุงู„ุจุฏูŠู„ T ู†ุงุฌุณ ูˆุงุญุฏ T
144
00:11:00,480 --> 00:11:04,060
ู†ุงุฌุณ ุงุชู†ูŠู† ูƒู„ุง ู‡ู…ุง ูŠุนู†ูŠ ุญุงู„ูŠู† ู‡ู…ุง ูƒู„ุง ู‡ู…ุง ูŠุคุฏูŠ
145
00:11:04,060 --> 00:11:07,720
ู„ู†ูุณูŠ ุงู„ุญู„ ู‡ุฐุง ุงู†ุช ุฎูŠุงุฑ ู…ู…ูƒู† ุชุนู…ู„ ูˆ ู…ู…ูƒู† ู…ุงุชุนู…ู„ูˆุด
146
00:11:07,720 --> 00:11:11,780
ุจุงู„ุงู…ุชุญุงู† ุงู†ุง ุจุฏูŠ ุงูŠุงูƒ ุชุนู…ู„ูŠ ุงูŠุงู‡ ุทุจุนุง ุนุดุงู† ุงู†ุง
147
00:11:11,780 --> 00:11:17,720
ุงุดูˆู ุฎุทูˆุงุช ุญู„ูƒ ูˆ ุนุดุงู† ุงู†ุช ุตุฑุงุญุฉ ู…ุงุชุฎุฑุจุทุดุฏุงุฆู…ุง
148
00:11:17,720 --> 00:11:22,500
ุงู„ุชุฑุชูŠุจ ูŠุคุฏูŠ ููŠ ุงู„ู†ู‡ุงูŠุฉ ู„ู…ูŠู†ุŸ ู„ู„ุฌูˆุงุจ ุงู„ุณู„ูŠู… ู„ูƒู† ููŠ
149
00:11:22,500 --> 00:11:25,360
ู†ุงุณ ู…ุงุจุชุญุจุด ุชุนู…ู„ู‡ู… .. ุชุนู…ู„ู‡ู… ุจุณุฑุนุฉ ู„ุฃู† ุงู„ู…ูˆุถูˆุน
150
00:11:25,360 --> 00:11:29,100
ูุนู„ุง ุณู‡ู„ ู…ุด ู‚ุตุฉ ูƒุจูŠุฑุฉ ู…ุด big deal ูุงู†ุช ููŠ ุฌู…ูŠุน
151
00:11:29,100 --> 00:11:32,100
ุงู„ุฃุญูˆุงู„ ุงู†ุง ุญุงุจุจ ุงู†ูŠ ุงู†ุง ุงุดูˆูู‡ู… ู‚ุฏุงู…ูŠ ูƒุฃุนู…ุฏุฉ ููŠู…ุง
152
00:11:32,100 --> 00:11:34,900
ู„ูˆ ุณุฃู„ู†ุงูƒ ููŠ ุงู„ุงู…ุชุญุงู† ุงู„ู„ู‡ ูŠุนู„ู… ู…ู…ูƒู† ุงู†ุง ุงุณุฃู„ูŠ
153
00:11:34,900 --> 00:11:39,780
ู…ู…ูƒู† ู…ุงุณุฃู„ูŠุด ุทุจ ู†ู‚ุทูŠ ุงู„ุงู† ุงู† ู†ุฌูŠุจ ุงู„ู…ุชูˆุณุท ุงู„ุญุณุงุจ
154
00:11:39,780 --> 00:11:42,560
ุงู„ sample mean ุงู„ู„ูŠ ู‡ูˆ ุงู„ z bar ูŠู„ุง ู…ูŠู† ูŠู‚ูˆู„ูƒ ูƒูŠู
155
00:11:42,560 --> 00:11:47,550
ุทู„ุน ุนุดุฑุฉ ู…ุนุงูƒู…ุŸ ุงู„ู…ุชูˆุณุท ุงู„ุญุณุงุจ ู‡ูŠ ุนุดุฑุฉ ูƒูŠูุŸุฌู…ุน
156
00:11:47,550 --> 00:11:53,370
ู…ูŠู†ุŸ ู‡ุงูŠูˆ ุงู„ุฌู…ุน ุงู„ู‚ูŠู… ู‡ุงูŠ ูŠุนู†ูŠ ุชู„ุชุงุด ุฒูŠ ุงู„ุชู…ุงู†ูŠุฉ
157
00:11:53,370 --> 00:11:56,770
ุฒูŠ ุงู„ุฎู…ุณุชุงุด keep going ู„ุญุฏ ุฏูŠุช ู…ูŠู†ุŸ ุงุชู†ุงุด ู‚ุณู…ู‡ู…
158
00:11:56,770 --> 00:12:02,170
ุนู„ู‰ ุนุดุฑุฉ ุดูˆู ููƒุฑูƒ ู‡ูŠุทู„ุน ุนุดุฑุฉ ู…ู† ู‡ู†ุง ุญุชู‰ ู†ุจู„ุด ู†ุญูƒูŠ
159
00:12:02,170 --> 00:12:07,650
ุนู† ุงู„ู‚ุงู†ูˆู† ุงู„ุชุงู†ูŠ ุงู„ raw ุงู„ raw ุนู†ุฏ ุงู„ lag ูˆุงุญุฏ ู‡ูŠ
160
00:12:07,650 --> 00:12:13,590
ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸ ูŠู„ุง ุญุณุจ ุงู„ู‚ุงู†ูˆู† ุชู„ุชุงุด ู†ู‚ุต x bar ุงู„ู„ูŠ
161
00:12:13,590 --> 00:12:18,650
ู‡ูŠ ุนุดุฑุฉ ู…ุถุฑูˆุจุฉ ููŠ ู…ูŠู†ุŸ ุชู…ุงู†ูŠุฉู†ุงุฌุณ ุนุดุฑุฉ ุฅุฐุง ุงู†ุชูˆุง
162
00:12:18,650 --> 00:12:21,230
ู…ู„ุงุญุธูŠู† ุฃู†ุง ุจุญูƒูŠ ุนู† ุงู„ุนู…ูˆุฏูŠู† ู‡ุฏูˆู„ ู‡ุฐุง ูˆ ู‡ุฐุง ุดูˆ
163
00:12:21,230 --> 00:12:26,030
ุจู‚ูˆู„ ุชู„ุชุงุด ู†ุงุฌุณ ุชู…ุงู†ูŠุฉ ุนุดุฑุฉ ู…ุถุฑูˆู ููŠ ุชู…ุงู†ูŠุฉ ู†ุงุฌุณ
164
00:12:26,030 --> 00:12:32,350
ุนุดุฑุฉ ุฒุงุฆุฏ ู…ูŠู† ุชู…ุงู†ูŠุฉ ู†ุงุฌุณ ุนุดุฑุฉ ู…ุถุฑูˆู ููŠ ุฎู…ุณุชุงุดุฑ
165
00:12:32,350 --> 00:12:37,930
ู†ุงุฌุณ ุนุดุฑุฉ ุฒุงุฆุฏ ุฎู…ุณุชุงุดุฑ ู†ุงุฌุณ ุนุดุฑุฉ ู…ุถุฑูˆู ููŠ ูˆุถุน keep
166
00:12:37,930 --> 00:12:43,730
going ู„ุญุฏ ุฏูŠุช ู…ูŠู† ุงุฑุจุนุชุงุด ู†ุงุฌุณ ุนุดุฑุฉู…ุถุฑูˆู ููŠ ู…ูŠุฉ
167
00:12:43,730 --> 00:12:47,530
ุงุชู†ุงุด ู†ุงุฌุณ ุนุดุฑุฉ ู‡ุฐุง ุงู„ุจุณุทู‰ ุจุชุฌุณู…ูˆู„ู‰ ุงุนู„ู‰ ู…ูŠู†
168
00:12:47,530 --> 00:12:52,070
ุงู„ู…ู‚ุงู… ุงู„ู„ู‰ ุนุจุงุฑุฉ ุนู† ุงู„ variance ุงู„ variance ุจุณ
169
00:12:52,070 --> 00:12:56,910
ู…ุถุฑูˆู ูู‰ ุงู„ N ูŠุนู†ู‰ ูู‡ูˆ ุนุจุงุฑุฉ ุนู† ุดูˆ ู‡ุฐุง ุงู„ุนู…ูˆุฏ
170
00:12:56,910 --> 00:13:01,050
ู„ุญุงู„ู‡ ุงู„ 6 ุดูˆ ุจุชุณูˆูˆุง ูƒู„ ู‚ูŠู…ุฉ ููŠู‡ ุจุชุทุฑุญูˆู‡ุง ู…ู†
171
00:13:01,050 --> 00:13:04,190
ุงู„ุนุดุฑุฉ ูˆ ุจุชุฑุจุน ูุชู„ุชุงุด ู†ุงุฌุณ ุนุดุฑุฉ ุชุฑุจูŠุฉ ุฒู‰ ู…ุง ุงู†ุชูˆุง
172
00:13:04,190 --> 00:13:07,230
ุดุงูŠููŠู† ุชู„ุชุงุด ู†ุงุฌุณ ุนุดุฑุฉ ุชุฑุจูŠุฉ ุชู…ุงู†ูŠุฉ ู†ุงุฌุณ ุนุดุฑุฉ
173
00:13:07,230 --> 00:13:11,720
ุชุฑุจูŠุฉ ุงู„ู„ู‰ ู‡ู‰ ู‡ู‰ูˆุงุถุญุŸ ุนู„ู‰ ุงู„ุฌูˆุงุจ ุงู„ู†ู‡ุงุฆูŠ ููŠ ุงู„ุฃุฎูŠุฑ
174
00:13:11,720 --> 00:13:18,140
ู…ู† ุงู„ู…ุญุตู„ุฉ ุงู„ู†ู‡ุงุฆูŠุฉ ู‡ูŠุนู…ู„ ู…ุนุงูƒ ุณุงู„ุจ born ูˆุงุญุฏ
175
00:13:18,140 --> 00:13:23,520
..ู…ุตุจูˆุญุŸ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ..ุดูˆ ุชูุณูŠุฑู‡ ู‡ุฐุงุŸ ุนู„ุงู‚ุฉ
176
00:13:23,520 --> 00:13:29,180
ุนูƒุณูŠุฉ ูˆุถุนูŠูุฉ ู„ุฅู†ู‡ ุฃู‚ู„ ู…ู† ุงู„ู†ุต ุงู„ุณุงู„ุจ ุตุญุŸ ูˆุนูƒุณูŠ
177
00:13:29,180 --> 00:13:33,530
ุนุดุงู† ู‡ูˆ ุณุงู„ุจ negative correlation ู‡ู†ุงูŠุนู†ูŠ ูŠุง ุฌู…ุงุนุฉ
178
00:13:33,530 --> 00:13:38,370
ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ุฃู…ุงู…ูŠ ู‡ุชุฑุชุจุท ู…ุน ุจุนุถู‡ุง ุงู„ุจุนุถ ุนู†ุฏ ู„ุงุฌ
179
00:13:38,370 --> 00:13:44,990
ูˆุงุญุฏ ู…ุธุจูˆุท ุงุฑุชุจุงุทุง ู…ุงู„ู‡ ุนูƒุณูŠุง ูˆูƒุดู ูˆุถุนูŠู ู‡ู„ุง ููŠู†ุง
180
00:13:44,990 --> 00:13:48,670
ู†ุฑุณู…ู‡ ููŠ ู…ุจุงุฏุฑ ุงู„ู„ูŠ ุงุญู†ุง ุนู…ู„ู†ุงู‡ุง ุฑุณู…ุฉ ุงู„ ACF ุฅุฐุง
181
00:13:48,670 --> 00:13:54,470
ุฐุงูƒุฑูŠู†ู‡ุง ู‡ุงู„ู„ูŠ ุงู„ุขู† ุงู„ู„ูŠ ู‡ูŠ ู‡ุงูŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ
182
00:13:54,470 --> 00:13:55,990
ุงู„ู„ูŠ ู‡ูŠ ู‡ุงูŠ ุงู„ุฑุณู…ุฉ
183
00:13:58,450 --> 00:14:02,510
ุทุจุนุง ุนู†ุฏ ุงู„ lag 0 ุจุงู„ุชุฃูƒูŠุฏ ุงู„ู…ุชุฌูˆุงุจ ู„ุงุฒู… ูŠูƒูˆู† row
184
00:14:02,510 --> 00:14:09,010
ุจุชุณุงูˆูŠ ูˆุงุญุฏ ุตุญุŸ ูˆุนู†ุฏ ุงู„ lag ูˆุงุญุฏ ุงู„ุขู† ู‚ุฏุด ู‡ูŠุทู„ุนุŸ
185
00:14:09,010 --> 00:14:14,610
ุณุงู„ุจ .. ู…ุตุจูˆุนุŸ ุณุงู„ุจ ูˆุงุญุฏ ูู‡ูŠุทู„ุน ุงู„ุนู…ูˆุฏ ู„ุชุญุช ู‡ุฐุง
186
00:14:14,610 --> 00:14:19,030
ุดูˆูŠุฉ ูˆ ุจุงู„ู…ู†ุงุณุจุฉ ุดูƒู„ู‡ ู‡ูŠุทู„ุน ุจูŠู† ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ูŠุนู†ูŠ
187
00:14:19,030 --> 00:14:25,120
we can neglect ูŠุนู†ูŠ ู…ู…ูƒู† ุฃู†ู‡ ู†ู‡ู…ู„ู‡ุชุฐูƒุฑูˆุง ุฃู†ู‡ ู‚ู„ู†ุง
188
00:14:25,120 --> 00:14:30,060
ู„ูˆ ุนุฏู‰ ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ูุฅูŠุด ู…ุนู†ุงุชู‡ุŸ ููŠ ู†ุงุด ู†ู‡ู…ู„ู‡ุŸ
189
00:14:30,060 --> 00:14:33,120
ูŠุนู†ูŠ ุงุญู†ุง ุจู†ุนุฑู ุฃู†ู‡ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ุนู†ุฏู‰ ุงู„ุฃุจุงุฑ
190
00:14:33,120 --> 00:14:39,400
ุงู„ุฌูˆููŠุฉ ูƒู…ู„ูˆุญุฉ ูˆ ู…ุจุฑุดูˆุฉ ู‡ุฐู‡ ู…ุง ู„ู‡ุง ูƒู„ ุฒู…ู† ุจุฑุชุจุท
191
00:14:39,400 --> 00:14:44,350
ุจุงู„ุฒู…ู† ู…ู† ุงู„ู„ูŠ ู‚ุจู„ู‡ ุฃูˆ ุจุฑุชุจุท ุจุงู„ุฒู…ู† ุงู„ู„ูŠ ุจุนุฏู‡ู„ูˆ
192
00:14:44,350 --> 00:14:49,450
ุจุชุญูƒูŠ ุนู† ุณุนุฑ ุฏูŠู†ุงุฑ ุนู„ู‰ ุฏูˆู„ุงุฑ ู…ุซู„ุง ุงูˆ ุนู„ู‰ ูŠูˆุฑูˆ ุงูˆ
193
00:14:49,450 --> 00:14:53,190
ุงู„ู„ูŠ ุจุฏูƒ ูŠุงู‡ ููˆุงุถุญ ุงู†ู‡ ููŠู‡ ุงุฑุชุจุงุท ูˆ ุงุฑุชุจุงุท ุนูƒุณูŠ
194
00:14:53,190 --> 00:14:56,650
ู…ุซู„ุง ููŠู…ุง ู„ูˆ ูƒุงู† ุนุฏุง ุงู„ุฎุทูˆุท ุงู„ุฒุฑู‚ ู‡ุฐู‡ ุงู„ู„ูŠ ุฃู…ุงู…ูƒูˆุง
195
00:14:56,650 --> 00:14:59,730
ุจุณ ุฅุฐุง ุฌูˆุงุฉ ุงู„ุฎุทูˆุท .. ูˆ ุดูƒู„ู‡ ู‡ูŠุทู„ุน ุฌูˆุงุฉ ุงู„ุฎุทูˆุท
196
00:14:59,730 --> 00:15:03,390
ุงู„ุฒุฑู‚ ูŠุนู†ูŠ we can neglect ู…ุด ู…ู‡ู… ูƒุชูŠุฑ ูŠุนู†ูŠ ู†ุนุชุจุฑู‡
197
00:15:03,390 --> 00:15:08,170
ุงู†ู‡ ู…ุงููŠุด ุงุฑุชุจุงุท ู…ุนู†ูˆูŠ not significant ู…ุงุดูŠุŸ ุงุฐุง
198
00:15:08,170 --> 00:15:12,730
ู‡ุฐุง ุงู„ูƒู„ุงู… ุงุญู†ุง ููŠู…ุง ุจุนุฏ ู…ุง ุนู…ู„ู†ุงู‡ ููŠู†ุง ู†ุฑุณู…ู‡ุจุนุฏ
199
00:15:12,730 --> 00:15:15,650
ู…ุง ุทู„ุนู†ุง ุจุงู„ู‚ูŠู…ุฉ ุงู„ุฃูˆู„ู‰ ุงู„ู„ู‰ ู‡ู‰ ู„ู„ุฑูˆู‡ุงุช ู‡ุฐู‡ ูู‰
200
00:15:15,650 --> 00:15:20,610
ู†ุฑุณู…ู‡ุง ุฌุจุงู„ ุงู‰ lag ูˆุงุญุฏ ู…ูŠู† ูŠู‚ูˆู„ ู„ูŠ ุนู†ุฏู‰ ุงู„ lag
201
00:15:20,610 --> 00:15:24,950
ุงุชู†ูŠู† ุดูˆ ุจุณูˆูŠ ุงู†ุง ุนุดุงู† ุงุญุณุจู‡ ูŠู„ุง ู…ูŠู† ุงู„ุฃุนู…ุฏ ุฏู‡
202
00:15:24,950 --> 00:15:30,930
ุงู„ุนู…ูˆุฏ z ู…ุน ุงู„ุนู…ูˆุฏ z ุฒุงุฆุฏ ุงุชู†ูŠู† ุชู…ุงู… ุดูˆ ุจุชุนู…ู„ู‡
203
00:15:30,930 --> 00:15:37,090
ุชู„ุชุงุด ู†ุงุฌุณ ุนุดุฑุฉ ุชุถุฑุจู„ูŠุง ูู‰ ู…ูŠู† ุฎู…ุณุชุงุด ู†ุงุฌุณ ุนุดุฑุฉ
204
00:15:37,090 --> 00:15:41,730
ู…ุชุงุจุนูŠู† ุงู„ mouse ู…ุนุงูŠุงุฏุฑุจ ุงูˆ ุฒุงุฏ ุนููˆุง ุชู…ุงู†ูŠุฉ ู†ุงุฌุณ
205
00:15:41,730 --> 00:15:46,270
ุนุดุฑุฉ ู…ุถุฑูˆุจุง ููŠ ุฃุฑุจุนุฉ ู†ุงุฌุณ ุนุดุฑูŠุฉ ู„ุญุฏ ุฏูŠุช ู…ุง ุชูŠุฌูŠ
206
00:15:46,270 --> 00:15:51,650
ุนู†ุฏ ู…ูŠู† ููƒุฑูƒูˆุง ุณุจุนุฉ ู†ุงุฌุณ ุนุดุฑุฉ ู…ุถุฑูˆุจุง ููŠ ู…ูŠู† ู†ุงุดุช
207
00:15:51,650 --> 00:15:55,390
ู†ุงุฌุณ ุนุดุฑุฉ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ู†ูุณ ุงู„ู„ูŠ ุงู†ุชูˆุง ุนู…ู„ุชู‡ูˆุง ููŠ
208
00:15:55,390 --> 00:15:59,690
ุงู„ู…ู‚ุงู… ุจุนู…ู„ู‡ ูƒู…ุงู† ู…ุฑุฉ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู† ุชู„ุชุงุดุฑ ู†ุงุฌุณ ุนุดุฑุฉ
209
00:15:59,690 --> 00:16:02,390
ุชุฑุจูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ูŠุง ุทู„ุน ุจุงู„ู…ู†ุงุณุจุฉ ู…ูŠุฉ ูˆุฃุฑุจุนุฉ
210
00:16:02,390 --> 00:16:07,660
ูˆุงุฑุจูŠู† ุงู„ู…ู‚ุงู…ุชู„ุงุชุงุด ู†ุงู‚ุต ุนุดุฑุฉ ุชุฑุจูŠุน ุฒูŠ ุชู…ุงู†ูŠุฉ ู†ุงู‚ุต
211
00:16:07,660 --> 00:16:12,540
ุนุดุฑุฉ ุชุฑุจูŠุน ุฒูŠ ุฎู…ุณุชุงุด ู†ุงู‚ุต ุนุดุฑุฉ ู„ูƒู„ ุชุฑุจูŠุน ูˆู‡ูƒุฐุง ุญุชู‰
212
00:16:12,540 --> 00:16:16,840
ุงุชู†ุงุด ู†ุงู‚ุต ุนุดุฑุฉ ุงู„ู„ูŠ ู‡ูˆ ุฌูˆุงุจ ุฌุฏูŠุด ู†ุงู‚ุต ุนุดุฑุฉ ุงุชู†ูŠู†
213
00:16:16,840 --> 00:16:20,520
ูุงุชู†ูŠู† ู…ุฑุจุนู‡ุง ุงุฑุจุน ูŠุนู†ูŠ ุฒูŠ ุงุฑุจุน ูŠุนู†ูŠ ุงู†ุช ุจุชู‚ูˆู„
214
00:16:20,520 --> 00:16:24,980
ุชู„ุงุชุงุด ู†ุงู‚ุต ุนุดุฑุฉ ูƒุงู† ุชู„ุงุชุฉ ุชุฑุจูŠุญู‡ุง ุชุณุนุฉ ุงุฐุง ุชุณุนุฉ
215
00:16:24,980 --> 00:16:30,500
ุฒูŠ ุชู…ุงู†ูŠุฉ ู†ุงู‚ุต ุนุดุฑุฉุณุงู„ุจ ุงุชู†ูŠู† ู…ุฑุจุนู‡ุง ุงุฑุจุน ุงุฐุง ุฒุงุฏ
216
00:16:30,500 --> 00:16:34,220
ุงุฑุจุน ูŠุนู†ูŠ ุชุณุนุฉ ุฒุงุฏ ุงุฑุจุน ุจุนุฏูŠู† ุฒุงุฏ ุฎู…ุณ ู†ุงู‚ุด ู†ุงู‚ุด
217
00:16:34,220 --> 00:16:38,560
ุนุดุฑุฉ ุฎู…ุณุฉ ู…ุฑุจุนู‡ุง ุฎู…ุณ ุนุดุฑูŠู† ุงุฐุง ุฒุงุฏ ุฎู…ุณ ุนุดุฑูŠู† ูุตุงุฑ
218
00:16:38,560 --> 00:16:42,800
ุนู†ุฏูƒ ุชุณุนุฉ ุฒุงุฏ ุงุฑุจุน ุฒุงุฏ ู…ูŠู† ุฎู…ุณ ุนุดุฑูŠู† ูˆู‡ูƒุฐุง ุญุชู‰ ุงุฎุฑ
219
00:16:42,800 --> 00:16:48,270
ู‚ูŠู…ุฉ ุงุชู†ูŠู† ู†ุงู‚ุด ุนุดุฑุฉ2 ู…ุฑุจุนู‡ุง 4 ูŠุนู†ูŠ ู‡ูˆ ู‡ูƒุฐุง ุญุชู‰
220
00:16:48,270 --> 00:16:52,030
ุชุฌู…ุน ุฃุฎุฑ ู‚ูŠู…ุฉ ุงู„ุชูŠ ู‡ูŠ 4 ู…ู†ู‡ุง ุงู„ุฌูˆุงุจ ุงู„ู†ู‡ุงุฆูŠ ู‡ูŠุทู„ุน
221
00:16:52,030 --> 00:16:57,050
ูƒุงู…ุŸ 104 ู…ูŠู„ ูˆุงุถุญ ุฃู† ุงู„ุฌูˆุงุจ ุฃูŠุถุง ุทู„ุน ู…ุงู„ู‡ ุนู„ุงู‚ุฉ
222
00:16:57,050 --> 00:17:01,830
ุนูƒุณูŠุฉ negative correlation ูˆู‡ุฐุง ู‡ูŠ ูˆ weak ุถุนูŠูุฉ
223
00:17:01,830 --> 00:17:07,670
ูˆู‡ุฐู‡ ุจุงู„ู…ู†ุงุณุจุฉ ุดูƒู„ู‡ุง ุนู„ู‰ ุงู„ุฎุท ุจุงู„ุธุจุท ู‡ุชุทู„ุน ุฃูˆ
224
00:17:07,670 --> 00:17:10,710
ุดูƒู„ู‡ุง ูŠู…ูƒู† ุญุชู‰ ุนุฏุช ุงู„ุฎุท ู„ูˆ ุฑุฌุนู†ุง ู„ู„ุฑุณู…ุฉ
225
00:17:14,130 --> 00:17:20,430
ุดูƒู„ู‡ุง ุจุชุนุฏ ุงู„ุฎุท ุจุฌุฒุฆูŠุฉ ุจุณูŠุทุฉุŒ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
226
00:17:20,430 --> 00:17:20,850
ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
227
00:17:20,850 --> 00:17:22,850
ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
228
00:17:22,850 --> 00:17:23,310
ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
229
00:17:23,310 --> 00:17:23,470
ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
230
00:17:23,470 --> 00:17:31,950
ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
231
00:17:31,950 --> 00:17:41,070
ู†ุญู† ู†ุญู† ู†ุญู†
232
00:17:41,070 --> 00:17:44,910
ู†ุญูุญุฌู… ุงู„ุนูŠู†ุฉ ูƒุฏู‡ ูƒุงู†ุŸ ุนุดุฑุŒ ุนุดุฑ ู‚ูŠู… ุตุญุŸ ู…ุด ู‡ู… ุนุดุฑ
233
00:17:44,910 --> 00:17:49,930
ู‚ูŠู…ุŒ ุนุดุฑ ุฃุฒู…ุฉ ูู„ู…ุง ุฃู†ุชูˆุง ุฑุณู…ุชู‡ ุทู„ุน ุณุงู„ุจ ุงุชู†ูŠู† ู…ู†
234
00:17:49,930 --> 00:17:53,570
ุนุดุฑ ุฃูˆ ุณุงู„ุจ ูˆุงุญุฏ ูˆุนุดุฑูŠู† ููŠ ุงู„ู…ูŠุฉ ูุนุฏู‰ ุดูˆูŠุฉ ุงู„ุฎุท
235
00:17:53,570 --> 00:17:58,090
ุงู„ุฃุฒุฑู‚ ู„ุชุญุช ู‡ูŠูƒ ู‡ูŠูƒูˆู† ุงู„ุฑุณู… ู‡ุฐูŠ ู„ุชุญุช ุดูˆูŠุฉุŒ ู†ูุชุฑุถุŒ
236
00:17:58,090 --> 00:18:02,470
ุดูˆ ูŠุนู†ูŠ ุงูŠู‡ุŸ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ
237
00:18:02,470 --> 00:18:03,110
ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ
238
00:18:03,110 --> 00:18:03,930
ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ
239
00:18:03,930 --> 00:18:08,070
ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุดุŒ ู„ุฃ ุจุนุฏูˆุฃู‡ ุจุธุจุท ุจุนุฏู‡ูˆุด ุฃู†ุง ุดูˆูุช
240
00:18:08,070 --> 00:18:11,350
ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ู‡ุฐุง ุนู„ู‰ ุฃู†ู‡ ุนู„ู‰ ุฃุณุงุณ ุฃู†ู‡ ุฌุจุงู„ ู…ูŠู†ุŸ
241
00:18:11,350 --> 00:18:15,290
ุชู†ูŠู† ู…ู† ุนุดุฑุฉ ู„ุฃ ุจุณ ู‡ูˆ ู…ุด ุฌุจุงู„ ุชู†ูŠู† ู…ู† ุนุดุฑุฉ ูุนู„ุง ู‡ูˆ
242
00:18:15,290 --> 00:18:19,630
ุชุญุช ุงู„ุชู†ูŠู† ู…ู† ุนุดุฑุฉ ุงู† ุชุฎูŠู„ูˆุง ู…ุนุงูŠุง ู…ุงุดูŠูˆู„ูŠู‡ุง ุจุงู„ู„ู‡
243
00:18:19,630 --> 00:18:23,710
ู…ุงุดูŠูˆู„ูŠู‡ุง ุฃู† ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ู‡ุฐุง ูˆุงู‚ู ุนู†ุฏ ู…ูŠู†ุŸ ุนู†ุฏ
244
00:18:23,710 --> 00:18:27,430
ุงู„ุชู†ูŠู† ู…ู† ุนุดุฑุฉ ู‡ุฐุง ุจุงู„ุณุงู„ุฉ ูุฌุฏุด ู‡ูˆ ุทู„ุน ู‚ุจู„ ุดูˆูŠุฉุŸ
245
00:18:27,430 --> 00:18:32,590
ุณุงู„ุจ ุงุชู†ูŠู† ูˆุงุญุฏ ูˆุนุดุฑูŠู† ููŠ ุงู„ู…ูŠุฉ ูŠุนู†ูŠ ุนุฏ ุดูˆูŠุฉ ุงู„ุฎุท
246
00:18:32,590 --> 00:18:38,070
ูู…ุนู†ุงุชู‡ ุฃู†ู‡ ุฅูŠุดุŸู…ุนู†ุงุชู‡ ุงูˆ ุญุชู‰ ุงู„ุฎุท ุจุงู„ุธุจุท ู…ุนู†ุงุชู‡
247
00:18:38,070 --> 00:18:41,690
ุงู†ู‡ we cannot neglect we have to consider this
248
00:18:41,690 --> 00:18:45,930
correlation ู…ุงุดูŠ this is a significant
249
00:18:45,930 --> 00:18:51,890
autocorrelation indication at lag one ู…ุงุดูŠ ูููŠ
250
00:18:51,890 --> 00:18:55,470
ุนู†ุฏู†ุง indication ู‡ู†ุง ุงู†ู‡ ููŠ ุนู†ุฏู†ุง significant
251
00:18:55,470 --> 00:19:00,930
correlation ุนู†ุฏ lag ูˆุงุญุฏ ุงูˆ ุนููˆุง lag ุงุชู†ูŠู†ูˆู„ุฐู„ูƒ ุดูˆ
252
00:19:00,930 --> 00:19:04,410
ูŠุนู†ูŠ ู…ุนู†ู‰ ุงู„ุงุฌ ุงุชู†ูŠู† ู‡ุฐุงุŸ ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุงู†ุง ุฃู‚ูˆู„ูƒูˆุง
253
00:19:04,410 --> 00:19:09,550
ุดุบุงู„ุฉ ูˆุงุญุฏุฉ ุณุนุฑ ุงู„ุฏูŠู†ุงุฑ ุนู„ู‰ ุงู„ุฏูˆู„ุงุฑ ุณุนุฑ ุงู„ุฏูŠู†ุงุฑ
254
00:19:09,550 --> 00:19:14,790
ุนู„ู‰ ุงู„ุฏูˆู„ุงุฑ ุงู„ูŠูˆู… ูŠุนุชู…ุฏ ุจุณุนุฑ ุงู„ุฏูŠู†ุงุฑ ุนู„ู‰ ุงู„ุฏูˆู„ุงุฑ
255
00:19:14,790 --> 00:19:19,630
ุงู…ุจุงุฑุญ ูˆู„ุง ุงูˆู„ ุงู…ุจุงุฑุญุŸ ู…ุด ู‚ู„ู†ุง ุงู„ู„ูŠ ุงู„ุงุฌ ุงุชู†ูŠู†ุŸ ุดูˆ
256
00:19:19,630 --> 00:19:23,830
ูŠุนู†ูŠ ุงู„ุงุฌ ุงุชู†ูŠู†ุŸ ูŠุนู†ูŠ ุงู…ุจุงุฑุญ ูˆู„ุง ุงูˆู„ ุงู…ุจุงุฑุญุŸ ุงูˆู„
257
00:19:23,830 --> 00:19:30,050
ุงู…ุจุงุฑุญ ูุงุนุชู…ุงุฏ ุงู„ุฏูŠู†ุงุฑ ุงู„ุฏูˆู„ุงุฑูƒู„ ูŠูˆู…ูŠู† ุนู„ู‰ ุจุนุถู‡ู…
258
00:19:30,050 --> 00:19:34,410
ุงู„ุจุนุถ ูŠุนู†ูŠ ุงู„ูŠูˆู… ุณุนุฑ ุงู„ุฏู†ุงุฑ ุนู„ู‰ ุงู„ุฏูˆู„ุงุฑ ู‡ูŠุฃุซุฑ ููŠ
259
00:19:34,410 --> 00:19:40,230
ุณุนุฑู‡ ุจูƒุฑุง ูˆู„ุง ุจุนุฏ ุจูƒุฑุงุŸ ุจุนุฏ ุจูƒุฑุง ุงูŠูˆุฉ ุจุนุฏ ุจูƒุฑุง ุงุฐุง
260
00:19:40,230 --> 00:19:44,410
ุงู†ุง ุจุนุฏ ุจูƒุฑุง ููŠ ุงู†ูŠ ุงู†ุง ุงูŠุด ู‡ุณูˆูŠ ุงุนู…ู„ ุฏุฑุงุณุงุชูŠ
261
00:19:44,410 --> 00:19:48,310
ูˆุดุบู„ูŠ ูˆุชู†ุจุคุงุชูŠ ูˆูˆุงู„ุงุฎุฑูŠู† ูƒุฏู‡ ู‡ูŠูƒูˆู† ู…ุซู„ุง ุฃุณุนุงุฑ
262
00:19:48,310 --> 00:19:54,790
ุงู„ุนู…ู„ุฉ ุงุนุชู…ุงุฏุง ุนู„ู‰ ู…ุนุฑูุชูŠ ู„ู…ูŠู† ู„ู„ูŠูˆู… ู„ุงู† ุนู†ุฏูŠ ู„ุงุฌ
263
00:19:54,790 --> 00:20:00,720
ุงุชู†ูŠู† ูƒู„ ูŠูˆู…ูŠู† ูƒู„ ุฒู…ุงู†ูŠู†ู…ุงุดูŠุŸ ููŠ ุนู†ุฏู‰ ู‡ู†ุง
264
00:20:00,720 --> 00:20:06,660
indication ุงู† ููŠู‡ correlation ุงุฑุชุจุงุท ู†ู‡ูŠู‡ ูˆ ู‡ูƒุฐุง
265
00:20:06,660 --> 00:20:09,940
ุงู†ุชูˆุง ุจุชู†ุฌุญูˆุง ุชุฌูŠุจูˆุง ุงู†ุง ุงุนุชู‚ุฏ ุงู†ู‡ ู„ูˆ ูˆุตู„ุช ุงู„ููƒุฑุฉ
266
00:20:09,940 --> 00:20:13,660
ุชุจุนุช ุงู„ู…ุซุงู„ ู‡ุฐุง ู„ูˆ ู‡ูŠ ุนู†ุฏ ุงู„ road ุชู„ุงุชุฉ ู…ุซู„ุง ุนุดุงู†
267
00:20:13,660 --> 00:20:16,500
ุงุฌูŠุจู‡ ู‡ู„ุฌูŠุช ุญุชู‰ ู†ู…ุดูŠ ู…ุน ุจุนุถ ุนู†ุฏ ุงู„ road ุชู„ุงุชุฉ ูŠู„ุง
268
00:20:16,500 --> 00:20:23,020
ุงูŠุด ุจุชุณูˆูˆุงุŸ ุจุชุฌูŠุจูˆุง ุนู†ุฏ ุงู„ ZT ู…ุน ู…ูŠู†ุŸ T ุฒูŠ ุงู„ุชู„ุงุชุฉ
269
00:20:23,020 --> 00:20:26,860
ุงุฐุง ู‡ุฏูˆู„ ุงู„ุนู…ูˆุฏูŠู† ุงู„ุนู…ูˆุฏ ู‡ุฐุง ุฏุนูˆู†ูŠ ุงุนู…ู„ ูƒู…ุงู† ุดูˆูŠุฉ
270
00:20:26,860 --> 00:20:27,200
zoom
271
00:20:30,510 --> 00:20:33,530
ุจู†ุญูƒูŠ ูŠุนู†ูŠ ุงุดูŠ ู…ู†ู‡ ุงู„ู…ุดูƒู„ุฉ ุฃู†ู‡ ุฃู†ุง ุจุฏูŠู‡ุง ู‡ุฐุง
272
00:20:33,530 --> 00:20:38,290
ุงู„ู‚ุงู†ูˆู† ุจุฏูŠู‡ุง ุชุนุฑุถ ุนู„ู‰ ุงู„ุตูุญุฉ ู‡ูŠ ูˆุงุถุญุฉ ูˆู„ุง ู…ุด
273
00:20:38,290 --> 00:20:41,370
ูˆุงุถุญุฉ ู‡ูŠ ุนู„ู‰ ุงู„ูƒู…ุจูŠูˆุชุฑ ุนู„ูŠู‡ุง ุชุญุชู‡ุง ุจุฏูŠ ุฃุญุงูˆู„
274
00:20:41,370 --> 00:20:47,870
ุฃุนู…ู„ู‡ุง zoom ุจุญูŠุซ ู…ุง ุฃุถูŠุนุด ุงู„ู…ุดูƒู„ุฉ ุฃู†ู‡ ุงู†ุง ูŠุนู†ูŠ ุฃู†ุง
275
00:20:47,870 --> 00:20:51,690
ุนุงุฑู ู…ุง ุฃุถูŠุนุด ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ .. ู…ุด ู…ุดูƒู„ุฉ ุงู†ุง ุฃุนุชู‚ุฏ
276
00:20:51,690 --> 00:20:55,930
ู‡ูŠูƒ ู…ุงุดูŠ ุญุงู„ูˆ ุงุฐุง ู‡ุฐุง ุฒุฏุชูŠ ุจุชุนู…ู„ูˆู„ูŠุง ู…ุน ุฒุฏุชูŠ ุฒุงุฆุฏ
277
00:20:55,930 --> 00:20:59,730
ุชู„ุงุชุฉ ูˆู„ุฐู„ูƒ ุญุณุจ ุงู„ู„ูŠ ูู‡ู…ู†ุง ุงุญู†ุง ุดูˆู‡ ุน ุงู„ุณุฑูŠุนูŠ ุงู„ู„ู‡
278
00:21:00,980 --> 00:21:05,840
ุซู„ุงุซุงุด ู†ุงู‚ุต ุนุดุฑุฉ ู…ุถุฑูˆุจุง ููŠ ุฃุฑุจุน ู†ุงู‚ุต ุนุดุฑุฉ ุฒุงุฏ
279
00:21:05,840 --> 00:21:09,880
ุชู…ุงู†ูŠุฉ ู†ุงู‚ุต ุนุดุฑุฉ ู…ุถุฑูˆุจุง ููŠ ุฃุฑุจุน ู†ุงู‚ุต ุนุดุฑุฉ ุฎู…ุณุชุงุด
280
00:21:09,880 --> 00:21:14,580
ุฒุงุฏ ุทุจุนุง ุฎู…ุณุชุงุด ู†ุงู‚ุต ุนุดุฑุฉ ู…ุถุฑูˆุจุง ููŠ ู…ูŠู†ุŸ ู†ุงุด ู†ุงู‚ุต
281
00:21:14,580 --> 00:21:19,720
ุนุดุฑุฉ ุฒุงุฏ ุฃุฑุจุน ู†ุงู‚ุต ุนุดุฑุฉ ู…ุถุฑูˆุจุง ููŠ ุฅุญุฏุงุด ู†ุงู‚ุต ุนุดุฑุฉ
282
00:21:19,720 --> 00:21:25,510
ูˆู‡ูƒุฐุง ุญุชู‰ ู…ูŠู†ุŸ ุฃุฎุฑ ูˆุงุญุฏุฉ11 ู†ุงุฌุณ 10 ู…ุถุฑูˆุจุง ููŠ ู…ูŠู†ุŸ
283
00:21:25,510 --> 00:21:29,150
12 ู†ุงุฌุณ 10 ู„ูˆ ุจุฌุฃ ููŠ ู‡ุฐุง ุงู„ุจุณุทู‰ ุนู„ู‰ ุงู„ู…ู‚ุงู… ุงู„ู„ู‰ ู‡ูˆ
284
00:21:29,150 --> 00:21:32,210
ู†ูุณู‡ ูƒุงู† ู‚ุจู„ ุดูˆูŠุฉ ุนู„ู‰ ูˆ ู‡ูˆ 440 ู‡ุฐุง ู‡ูˆ ุงู„ู„ู‰ ุงู†ุง
285
00:21:32,210 --> 00:21:38,070
ุนู…ู„ุชู‡ ุงู„ู„ู‰ ู‡ูˆ ู‡ุฐุง ูุงู„ุฌูˆุงุจ ูˆุงุถุญ ุงู†ู‡ ููŠ ุงุฑุชุจุงุท ู…ุงู„ู‡
286
00:21:38,070 --> 00:21:44,870
ู‡ู†ุง ุชุฑุถู‰ ู‚ุจู„ ุดูˆูŠุฉ ูƒุงู† ุนูƒุณู‰ ูˆ ู‡ู†ุง ู…ุงู„ู‡ ุงูŠุถุง ุถุนูŠู
287
00:21:44,870 --> 00:21:51,600
ู…ุธุจูˆุท ูุงุฑุชุจุงุท ุชุฑุถู‰ ุถุนูŠู ุนู†ุฏ ู…ูŠู† ุนู†ุฏ ุงู„ lagุชู„ุงุชุฉ
288
00:21:51,600 --> 00:21:58,640
ูŠุนู†ูŠ ุจุงุฎุชุตุงุฑ ุงู„ series ุชุฑุชุจุท ู…ุน ู†ูุณู‡ุง ุงุฑุชุจุงุทุง ุถุนูŠู
289
00:21:58,640 --> 00:22:03,540
ู‡ูŠ ู†ูุณู‡ุง ูŠุนู†ูŠ ูƒู„ ุชู„ุงุช ูุตูˆู„ ููŠ ุงุฑุชุจุงุทุงุช ูˆู„ูƒู† ู‡ุฐุง
290
00:22:03,540 --> 00:22:08,300
ุงุฑุชุจุงุท ุถุนูŠู ูŠุนู†ูŠ ุดูƒู„ู‡ ู…ู† ู‡ู†ุง ู†ุญู…ู„ู‡ ู…ุด ู…ุง ู†ุนุชุจุฑู‡ุด
291
00:22:08,300 --> 00:22:12,800
ู‡ุฐุง ู…ุซุงู„ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sample autocorrelation ูƒูŠู
292
00:22:12,800 --> 00:22:16,240
ู†ุญุณุจู‡ ูˆุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุงู„ู…ูˆุถูˆุน ู…ุด ุตุนุจ ุณู‡ู„
293
00:22:16,240 --> 00:22:21,850
ู„ู„ุบุงูŠุฉ ู…ู†ูŠุญู†ุฃุชูŠ ู…ุซุงู„ ุขุฎุฑ ูŠุนู†ูŠ .. ูŠุนู†ูŠ ู‡ูˆ ุฒูŠุงุฏุฉ
294
00:22:21,850 --> 00:22:27,010
ุงู„ุฎูŠุฑ ุฎูŠุฑูŠู†ุŒ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฃู†ุง ู…ู† ุนู†ุฏูŠ ุฌุจุชู‡ ุนู„ู‰ ุฃุณุงุณ
295
00:22:27,010 --> 00:22:32,050
ุฃู†ู‡ ุฃุนุชู‚ุฏ ุงู„ุขู† ุงู„ุฃู…ูˆุฑ ุตุงุฑุช ู…ู…ู„ุฉูˆู„ูƒู† ูŠุนู†ูŠ ู„ู„ูŠ ู…ุง
296
00:22:32,050 --> 00:22:35,910
ูู‡ู… ุฃูˆ ู…ุง ุฑูƒุฒ ููŠ ุงู„ู…ุซุงู„ ุงู„ุฃูˆู„ุงู†ูŠ ู…ู…ูƒู† ุฃู†ู‡ ุงู„ุขู†
297
00:22:35,910 --> 00:22:39,970
ูŠุฑูƒุฒ ููŠ ู‡ุฐุง ุงู„ู…ุซุงู„ ูˆ ูƒู„ุง ู‡ู…ุง ู†ูุณ ุงู„ุดูŠุก ูู…ุซู„ุง ููŠ
298
00:22:39,970 --> 00:22:44,850
ุนู†ุฏูŠ ุฃู†ุง ุฃุฒู…ู†ุฉ ุนุจุงุฑุฉ ุนู† 14 ุฒู…ู† ูˆู‡ูŠ ุนุจุงุฑุฉ ุนู† 14 ุณู†ุฉ
299
00:22:44,850 --> 00:22:51,390
ู…ู† 1990 ุงู„ุณู†ุฉ ุญุชู‰ ุนุงู… 2003 ูˆ ู‡ุฐุง ู‡ูŠ ุงู„ู…ุดุงู‡ุฏุงุช XT
300
00:22:51,390 --> 00:22:56,730
ุทุจุนุง ููŠู†ุง ู†ุนุชุจุฑ ู‡ุฐู‡ ุงู„ู…ุดุงู‡ุฏุงุช ู…ุซู„ุง ุงู„ู…ุจูŠุนุงุช ููŠูƒ
301
00:22:56,730 --> 00:23:01,680
ุชุนุชุจุฑู‡ุง ุนุจุงุฑุฉ ุนู† ุงู„ู…ู„ูˆุญุฉุฃุฑู‚ุงู…ุŒ ู‡ูŠ ุฃุฑู‚ุงู…ุŒ ู…ู„ูˆุญุฉ ููŠ
302
00:23:01,680 --> 00:23:06,100
ุงู„ู…ูŠุงู‡ ุงู„ุฌูˆููŠุฉุŒ ููŠ ุงู„ุขุจุงุฑุŒ ู…ู…ูƒู† ุชุนุชุจุฑู‡ ุนู…ู‚ ุงู„ุจูŠุฑุŒ
303
00:23:06,100 --> 00:23:11,620
ุนู…ู‚ ุงู„ุจูŠุฑุŒ ู‚ุฏุงุด ููŠู‡ ุงู„ุนู…ู‚ ุชุจุนู‡ ูƒู…ูŠุฉุŒ ู…ู†ูŠุญุŸ ู…ู…ูƒู†
304
00:23:11,620 --> 00:23:16,480
ุชุนุชุจุฑู‡ ุฏุฑุฌุงุช ุญุฑุงุฑุฉุŒ ู…ู…ูƒู† ุชุนุชุจุฑู‡ ูƒู…ูŠุฉ ุงู„ู…ุทุฑุŒ ู…ู…ูƒู†
305
00:23:16,480 --> 00:23:21,840
ุชุนุชุจุฑู‡ ุงู„ู„ูŠ ุจุฏูƒูŠุงุŒ ูƒู…ูŠุฉ ุงู„ู…ุทุฑ ุงู„ู…ุชุณุงู‚ุทุฉ ููŠ ุงู„ุณู†ูˆุงุช
306
00:23:21,840 --> 00:23:26,320
ูƒู„ู‡ุงู‡ูˆ ุจุงู„millimeter ูˆู„ุง ุจูŠุณู…ูˆุดูˆู‡ุง ู‡ูˆ
307
00:23:26,320 --> 00:23:31,500
ุจุงู„millimeter ู…ูƒุนุจ ู„ูƒู„ ู…ู„ูŠูˆู† ู…ุชุฑ ู…ูƒุนุจุŒ ุฒูŠ ู‡ูŠูƒุŒ
308
00:23:31,500 --> 00:23:36,940
ุงู„ู…ู‡ู…ูˆ ุจุฏู‡ ู…ู†ูƒ ุชุฌูŠุจู„ู‡ auto covariance ุนู†ุฏ ุงู„ lag H
309
00:23:36,940 --> 00:23:40,100
ูˆ ุงู„ auto correlation ุนู†ุฏ ุงู„ lag H ูˆ ุงู„ H ู‡ูŠ ุฏูŠ ูŠุง
310
00:23:40,100 --> 00:23:43,680
zero ูŠุง ูˆุงุญุฏ ูŠุง ุชู„ุงุชุฉ ู…ู„ุงุญุธ ุจุตุฑุงุญุฉ ู…ุด ุทุงู„ุจ ุงู†ุง ุนู†ุฏ
311
00:23:43,680 --> 00:23:48,000
ุงู„ lag ุงุชู†ูŠู† ู…ุด ูŠุนู†ูŠ big deal ู‡ู†ุง ู…ุด ุงุดูŠ ูŠุนู†ูŠ ุจุณ
312
00:23:48,000 --> 00:23:53,080
ุงู†ู…ุง ุนุดุงู† ุงู„ุตูุญุฉ ู„ู„ุฃุณู ุงู†ุง ู…ุงููŠ ุงู†ุง ุงู‚ุฏุฑ ุงุฌูŠุจ ูƒู„
313
00:23:53,080 --> 00:23:56,550
ุงู„ู…ุซุงู„ ููŠ ู†ูุณ ุงู„ุตูุญุฉ ูุงู†ุง ุงุฎุชุฑุช ุงู†ู‡ ู…ู† ุนู†ุฏูŠุฅู†ู‡
314
00:23:56,550 --> 00:24:00,330
ุจูŠูƒููŠ lag 0 ูˆ lag 1 ูˆ ุจูŠู‚ูˆู„ ุฎู„ูŠู†ุง ู†ุฌูŠุจ ุงู„ู…ุฑุฉ lag
315
00:24:00,330 --> 00:24:04,350
ู…ูŠู†ุŒ ุชู„ุงุชุฉ ู…ุด ุฃู†ู‡ ูŠุนู†ูŠ ุฃู†ุง ุนู…ุฏุง ุฅู† ุงุชุฌูˆุฒุช lag ุชู†ูŠู†
316
00:24:04,350 --> 00:24:08,370
ูŠุนู†ูŠ ู„ุฅู†ู‡ ููŠ ููƒุฑุฉ ู‡ู„ุฃุŒ ู„ุฃ ู…ุงููŠุด ููƒุฑุฉ ูˆู„ุง ู„ุงุญุธุฉ ุทูŠุจ
317
00:24:08,370 --> 00:24:11,890
ุฅู†ุชูˆุง ุจุชุนุฑููˆุง ุฅู† ุงู„ูˆุตู„ ุงู„ุญุณุงุจูŠ ุถุฑูˆุฑูŠ ุจุงู„ุฒู…ู† ู„ุงุฒู…
318
00:24:11,890 --> 00:24:15,970
ุฃุฌูŠุจู‡ ููŠู„ู„ุง ูƒูŠู ุจู†ุฌูŠุจ ุงู„ูˆุตู„ ุงู„ุญุณุงุจูŠุŸ ุนุงุฏูŠ ู…ุฌู…ูˆุน
319
00:24:15,970 --> 00:24:19,150
ุงู„ู‚ูŠุงู… ุนู„ู‰ ุฃุฏู„ุฉ ูุชุฌู…ุนู„ูŠ ุงู„ู„ู‡ ูŠุฑุถู‰ ุนู†ูƒ ุชู†ูŠู† ุฒุงุฆุฏ
320
00:24:19,150 --> 00:24:22,450
ูˆุงุญุฏ ุฒุงุฆุฏ ุชู„ุงุชุฉ ู…ุง ุจุนุฑูุด ู‡ูˆ ุจุชุฌู…ุนู„ูŠู‡ ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰
321
00:24:22,450 --> 00:24:24,190
ูˆุงุญุฏ ุชู‚ุณู…ู‡ ุนู„ู‰ุŸ
322
00:24:31,240 --> 00:24:37,000
ู‡ุฐุง ู‡ูˆ ุงู„ู€ X bar ุงู„ู…ุชูˆุณุท ุงู„ุญุณุงุจูŠ ู„ู„ุนูŠู† ู‡ู„ุฃ ุจุฏูƒูˆุง
323
00:24:37,000 --> 00:24:41,200
ุชุฌูŠุจูˆู„ูŠ ู…ูŠู† ุงู„ู€ Gamma hat zero ู…ุง ู…ุนู†ู‰ ู‡ุฐุง
324
00:24:41,200 --> 00:24:44,700
ุจุงู„ู…ู†ุงุณุจุฉุŸ
325
00:24:44,700 --> 00:24:47,960
ู‡ุฐุง ุงู„ variance ุงู„ุญุงุฌุฉ ุงู„ู„ูŠ ู†ู†ุณู‰ ู…ุด ู‡ุฐุง ุงู„
326
00:24:47,960 --> 00:24:52,970
varianceูุงู„ variance ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู…ุฌู…ูˆุน ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†
327
00:24:52,970 --> 00:24:59,630
ู…ุฑุจุน ุงู„ูุฑู‚ ุจูŠู† ุงู„ X ูˆูˆุณุทู‡ุง ุนู„ู‰ ู…ูŠู† ุนู„ู‰ ุนุฏุฏ ุงู„ู‚ูŠุงู…
328
00:24:59,630 --> 00:25:04,470
ุณู‡ู„ ู‚ุงู†ูˆู†ู‡ ู‡ูŠ ุฃู…ุงู…ูƒู… ููƒูŠู ุจุฏูƒู… ุชุฌูŠุจูˆู‡ ุณู‡ู„ ุฌุฏุง ูŠุง
329
00:25:04,470 --> 00:25:09,850
ุฌู…ุงุนุฉ ุดูˆ ููŠู„ุง XT minus X bar X bar ุทุจุนุง ุชู†ุณูˆุด ุฃู†ู‡ุง
330
00:25:09,850 --> 00:25:15,190
ู‡ูŠ ู…ูŠู† three point six ูŠู„ุง ู…ูŠู† ูŠู‚ูˆู„ูŠ ุดูˆ ุชู†ูŠุงู†ุฉ
331
00:25:15,190 --> 00:25:18,630
ู†ุงู‚ุต ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุชู„ุงุชุฉ ูุงุตู„ุฉ ุณุชุฉ ุงู„ุงุฎุฑูŠู†
332
00:25:18,880 --> 00:25:25,700
ู…ุฑุจุนู‡ุง ุงู„ุฐุงุช ูˆุงุญุฏ ู†ุงู‚ุต ู…ุฑุจุน ุงู„ูุฑู‚ ุงู‡ ุชุฑุจุน ูŠุนู†ูŠ ูˆ
333
00:25:25,700 --> 00:25:29,100
ู‡ูƒุฐุง ุงู„ู‰ ุงู† ุชุตู„ ุจุงู„ุงุฎูŠุฑ ุงู† ุงู„ variance ูƒุฏู‡ ู‡ูŠุทู„ุน
334
00:25:29,100 --> 00:25:34,260
ุฎู…ุณุฉ ูุงุตู„ุฉ ุงุชู†ูŠู† ุชู„ุงุชุฉ ูˆููŠ ุดูˆูŠู‡ ุชูƒุณูˆุฑ ูŠุนู†ูŠ ู…ุงุดูŠ
335
00:25:34,260 --> 00:25:39,700
ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู„ variance ู‡ุฐุง ุงู„ุชู†ุฌูŠุจ ุงู„ auto
336
00:25:39,700 --> 00:25:43,440
covariance ุนู†ุฏ ุงู„ lag ูˆุงุญุฏ ุงู„ู„ูŠ ุงุดูุชูƒูˆุง ุชุนู…ู„ูˆุง
337
00:25:43,440 --> 00:25:46,580
ู‚ูˆู„ูˆู„ูŠ ู„ุชุนู„ู…ู‡ุง ู…ู†ู‡ุง ู‚ุจู„ ุดูˆูŠุฉ ุจุชุฑูˆุญูˆุง ุจุชุณุชุฎุฏู…ูˆุง ูŠุง
338
00:25:46,580 --> 00:25:50,560
ุงู„ู‚ุงู†ูˆู† ุงู„ุฃูˆู„ู‡ูŠ ุงู„ู‚ุงู†ูˆู† ุงู„ุชุงู†ูŠ ู…ุซู„ุง ุงู†ุง ู‡ู†ุง ุญู‚ูŠู‚ุฉ
339
00:25:50,560 --> 00:25:53,060
ู‚ุจู„ ุดูˆูŠุฉ ุงุณุชุฎุฏู…ุช ุงู„ู‚ุงู†ูˆู† ุงู„ุชุงู†ูŠ ุงู„ุขู† ู‡ุณุชุฎุฏู…
340
00:25:53,060 --> 00:25:57,620
ุงู„ู‚ุงู†ูˆู† ุงู„ุฃูˆู„ ูุงู„ุนุฏุงุฏ ู…ุงุจุฏูŠุด ูŠุจุฏุฃ ู…ู† ุชู†ูŠู† ู…ู† ูˆุงุญุฏ
341
00:25:57,620 --> 00:26:01,200
ุฒูŠ ู…ุง ุงุณุชุฎุฏู…ุช ููŠ ุงู„ู…ุซุงู„ ุงู„ุณุงุจู‚ ู‡ู„ุฌูŠุชูŠ ูŠุจุฏุฃ ู…ู† ูˆูŠู†ุŸ
342
00:26:01,200 --> 00:26:07,380
ู…ู† ุชู†ูŠู† ูู…ู† ุชู†ูŠู† ุฅู„ู‰ ุฃูุณู‡ ู‡ูˆ ู‡ูˆ ูุจุฏู„ ู…ุง ุชุฌูŠุจู‡ XT
343
00:26:07,380 --> 00:26:15,840
ุฒุงุฆุฏ ูˆุงุญุฏ ู‡ุชุฌูŠุจู‡ ู…ูŠู†ุŸ T ู†ุงู‚ุต ูˆุงุญุฏ ู†ุนู…ุŸ ูˆุฅุฐุง ุนู…ู„ุช
344
00:26:15,840 --> 00:26:20,930
ุฃุนู…ุฏ ุนู„ู‰ ู‡ุฐูˆู„ ุงู„ุฅูƒุณุงุชุงู„ุนู…ูˆุฏ ุงู„ุฌุฏูŠุฏ ุงู„ู„ูŠ ู‡ูŠูŠุฌูŠ ุฒูŠ
345
00:26:20,930 --> 00:26:24,770
ู‡ุฐุง ุงุณู…ู‡ XT ุจุฏุฃ ู…ู† ุชู†ูŠู† ูˆุงุญุฏ ุชู„ุงุชุฉ ููƒุฑูƒูˆุง XT ู†ุงุฌุณ
346
00:26:24,770 --> 00:26:30,030
ูˆุงุญุฏ ู‡ูŠุจุฏุฃ ู…ู† ูˆูŠู†ุŸ ุฃูˆู„ ูˆุงุญุฏุฉ ูุงุถูŠ ู†ุนู… ุจุนุฏูŠู† ุชู†ูŠู†
347
00:26:30,030 --> 00:26:36,590
ูˆุงุญุฏ ุชู„ุงุชุฉ ุฅู„ู‰ ุฃู† ูŠุฎุชู… ููŠ ู…ูŠู†ุŸ ููŠ ุงู„ุชู…ุงู†ูŠุฉ ุงู„ูุงุถูŠ
348
00:26:36,590 --> 00:26:41,090
ู…ุงุญู†ุง ู‡ุชุงูˆุญูƒ ู‡ู†ุง ุงู„ูุงุถูŠ ูŠุง ุฃุณุชุงุฐ ุงู‡ ู…ุงุจู†ุจุฏุฃุด ู…ู†ู‡
349
00:26:41,090 --> 00:26:45,690
ู„ุฅู†ูƒ ุจุชุจุฏุฃ ู…ู† ูˆูŠู†ุŸ ู…ู† ุชู†ูŠู† ุฃูŠูˆุฉ ุจุชุจุฏุฃ ู…ู† ูˆูŠู† ุนุงุฑู
350
00:26:45,690 --> 00:26:49,540
ุฃูŠู† ุจุฏุฃู†ุง ู…ู† ุชู†ูŠู†ุŸ ุนุดุงู† ู‡ูˆ ูุงุถูŠ ุฃูˆู„ ูˆุงุญุฏุทุจ ู„ูŠุด ู‡ู†ุง
351
00:26:49,540 --> 00:26:53,720
ุฃู†ุช ุจุฏุฃุช ู…ู† ุฃุฑุจุนุฉุŸ ู‡ุฐูŠ ุนู†ุฏ ุงู„ gammaุŒ ู‡ุฐูŠ ุนู†ุฏ ุงู„
352
00:26:53,720 --> 00:26:57,940
lag ุชู„ุงุชุฉุŒ ู„ูŠุด ุจุฏุฃุช ู‡ู†ุง ุงู„ T ุชุณุงูˆูŠุฉ ุฃุฑุจุนุฉุŸ ู„ุฃู† ุฃูˆู„
353
00:26:57,940 --> 00:27:01,900
ุชู„ุงุช ู‚ูŠู… ู…ูŠู† ู‡ูŠุŸ ูุถูŠุงุชุŒ ูู„ูˆ ุจุฏูƒ ุชุนู…ู„ XT ู†ุงู‚ุต
354
00:27:01,900 --> 00:27:06,120
ุชู„ุงุชุฉุŒ ู…ูŠู† ู‡ูŠูƒูˆู† ุงู„ seriesุŸ ู‡ุฐุง ุงุณู…ู‡ XT ู†ุงู‚ุต ูˆุงุญุฏุŒ
355
00:27:06,120 --> 00:27:09,560
XT ุนููˆุง ู‡ุฐุง ู‡ูˆุŒ ู…ูŠู† XT ุฒูŠ ู†ุงู‚ุต ุชู„ุงุชุฉ ุงู„ุนู…ูˆุฏ ุงู„ุฌุฏูŠุฏ
356
00:27:09,560 --> 00:27:13,700
ุงู„ู„ูŠ ู‡ุชุนู…ู„ู‡ุŸ ู…ูŠู† ู‡ูˆุŸุฃูˆู„ ู‚ูŠู…ุฉ ูุงุถูŠุฉ ูˆ ุชุงู†ูŠ ู‚ูŠู…ุฉ
357
00:27:13,700 --> 00:27:17,660
ูุงุถูŠุฉ ูˆ ุชุงู„ุช ู‚ูŠู…ุฉ ูุงุถูŠุฉ ุซู… ุจุนุฏ ุฐู„ูƒ ุชุจุฏุฃ ู…ู† ู…ูŠู†ุŸ ู…ู†
358
00:27:17,660 --> 00:27:20,780
ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู†
359
00:27:20,780 --> 00:27:24,020
ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู†
360
00:27:24,020 --> 00:27:27,800
ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู†
361
00:27:27,800 --> 00:27:30,100
ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู†
362
00:27:30,100 --> 00:27:33,340
ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู† ุชู†ูŠู† ..ู…ู†
363
00:27:33,340 --> 00:27:37,160
ุชู†ูŠู† ..ู…ู†
364
00:27:37,160 --> 00:27:41,820
ุชู†ูŠู†ูุจุชุถุฑุจ ู…ูŠู†ุŸ Xt ู†ุงู‚ุต X Ta X Bar ุจุณ ู‡ุงู† ุจุชุจุฏุฃ ู…ู†
365
00:27:41,820 --> 00:27:46,000
ูˆูŠู†ุŸ ู…ู† ุงู„ุฃุฑุจุน ูŠุนู†ูŠ ุฅูŠุดุŸ ู…ู† ูˆูŠู† ุจุชุจุฏุฃุŸ ู…ู† ูˆูŠู†ุŸ
366
00:27:46,000 --> 00:27:57,440
ูŠู„ู‘ุง ุงุญูƒูˆู„ูŠ ูŠุง ุฑุงุฌู„ ุฎู…ุณุฉ ู†ุงู‚ุต ุนุดุฑุฉ ู†ุงู‚ุต ุนูู† ุงู„ูˆุณุท
367
00:27:57,440 --> 00:28:03,240
ุงู„ู„ูŠ ู‡ูˆ ุชู„ุงุชุฉ ุฎู…ุณุฉ ุจุชุจุฏุฃ ุฎู…ุณุฉ
368
00:28:03,240 --> 00:28:06,340
ู‡ูŠู‡ุง Xt
369
00:28:10,870 --> 00:28:17,390
ูˆ ู‡ูŠู‡ุง XT ู†ุงุฌุณ ุชู„ุงุชุฉ ู‡ุฐุง ุงุชู†ูŠู† ู‡ุฐุง ูˆุงุญุฏ ู‡ุฐุง ุชู„ุงุชุฉ
370
00:28:17,390 --> 00:28:27,150
ู‡ุฐุง ุฎู…ุณุฉ ูˆุงุญุฏ ุณุชุฉ ุงุชู†ูŠู† ุณุชุฉ ู„ุญุฏ ุฏูŠุช ูˆุงุญุฏ ุงูˆ ู„ุญุฏ
371
00:28:27,150 --> 00:28:32,270
ุฏูŠุช ุชู…ุงู†ูŠุฉ ูˆุงุญุฏ ูˆู„ุง ูŠู‡ู…ูƒ ุชู…ุงู†ูŠุฉ ูˆุงุญุฏ ู‡ุฐุง ูุงุถูŠ
372
00:28:32,270 --> 00:28:37,810
ุงุชู†ูŠู† ุชู„ุงุชุฉ ุจุนุฏูŠู† ุชุจุฏุฃ ู…ู† ูˆูŠู† ุงุชู†ูŠู† ู…ู† ู‡ู†ุง ูˆุงุญุฏ
373
00:28:37,810 --> 00:28:39,510
ุชู„ุงุชุฉ
374
00:28:42,000 --> 00:28:50,700
ุฎู…ุณุฉ ูˆุงุญุฏ ู‡ูŠ ู„ุญุฏ ุฏูŠุช ู…ูŠู† ุจุฎุชู… ุชู„ุงุชุฉ ู„ุญุฏ ุฏูŠุช ู‡ุฐู‡
375
00:28:50,700 --> 00:28:54,800
ูˆูŠู†ู‡ุง ุงู„ู„ูŠ ู‡ูŠ ู…ุด ู…ุจูŠู†ุฉ ุจุณ ู‡ูŠ ู‡ุงูŠ ุงู„ุชู„ุงุชุฉ ู‡ู†ุง ุซู…
376
00:28:54,800 --> 00:29:01,020
ุจุนุฏ ุฐู„ูƒ ู„ู…ุง ุจุฏูƒ ุชูŠุฌูŠ ุชุนู…ู„ ุงู„ู„ูŠ ู‡ูˆ ุฌุงู…ู‡ุงุช ุงู„ X ู‡ุฐุง
377
00:29:01,020 --> 00:29:06,120
ุงู„ X ู…ุด ู…ู‡ู… ูƒุฑุงู…ุฒ ุฎู„ุงุต ู†ุณูˆูƒ ุฌุงู…ู‡ุงุช ุงู„ุชู„ุงุชุฉ ู‡ูˆ
378
00:29:06,120 --> 00:29:12,540
ุนุจุงุฑุฉ ุนู† ุดูˆู‡ ูˆุงุญุฏ ุนู„ู‰ุงู„ุงุฑุจุนุชุงุดู‰ ุงู„ู„ู‰ ู‡ู‰ ุงู„ุงู† ูŠุนู†ู‰
379
00:29:12,540 --> 00:29:20,720
ู…ู† T ุชุณุงูˆูŠ ุงู„ู„ู‰ ู‡ู‰ ู…ูŠู† ุงู„ุงู† ุงุฑุจุนุฉ ุชู„ุงุชุฉ ุฒุงูŠุฏ ูˆุงุญุฏ
380
00:29:20,720 --> 00:29:26,140
ูŠุนู†ู‰ ุงุฑุจุนุฉ ุงู„ู‰ ู…ูŠู† ุงู„ุงู† ุงู„ู„ู‰ ู‡ู‰ ุงู„ุงุฑุจุนุชุงุดู‰ ุงู„ุง XT
381
00:29:26,140 --> 00:29:32,320
ู†ู‚ุต X bar ุงู„ู„ู‰ ู‡ูˆ ู‚ุฏุงุดุฑ ุชู„ุงุชุฉ point six ุงู„ุงุฎุฑู‰
382
00:29:32,320 --> 00:29:40,760
ู…ุถุฑูˆู ููŠ XT ู†ุงุฌุณ ุชู„ุงุชุฉ ู†ุงุฌุณ three point sixูˆ ูŠุณุงูˆูŠ
383
00:29:40,760 --> 00:29:49,420
1 ุนู„ู‰ 14 ุงูุชุญ ุฌูˆุณ ุงู„ู„ู‡ ู‡ุงูŠ ู…ู† ูˆูŠู† ุจุฏูƒ ุชุจุฏุฃุŸ ู…ู†
384
00:29:49,420 --> 00:29:55,200
ุงู„ุฒู…ู† ุฃุฑุจุนุฉ ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุนู…ู„ุช ุนุฏุงู„ุฉ T ู‡ุงูŠ ูˆุงุญุฏุŒ
385
00:29:55,200 --> 00:29:59,720
ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ู…ู† ู‡ุงู„ ูŠุนู†ูŠ ุจุฏุฃ ุฃุจุฏุฃ ุฎู…ุณุฉุŒ
386
00:29:59,720 --> 00:30:06,620
ุณุชุฉุŒ ุณุจุนุฉุŒ ุชู…ุงู†ูŠุฉ ุฅู„ู‰ ุญุฏูŠุฏ ุชู„ุชุงุดุŒ ุงุฑุจุนุชุงุด ูุงู†ุง
387
00:30:06,620 --> 00:30:13,880
ุจุจุฏุฃ ู…ู† ูˆูŠู†ุŸู…ู† ุชูŠุชุฑ ุณุงุนุฉ ุฃุฑุจุนุฉ ูŠุนู†ูŠ ู…ู†ู‡ุง ูŠุนู†ูŠ
388
00:30:13,880 --> 00:30:20,080
ุฎู…ุณุฉ ูุจู‚ูˆู„ ุฎู…ุณุฉ ู†ุงู‚ุต ู‚ุงู†ูˆู† three point six ู…ุถุฑูˆุจุง
389
00:30:20,080 --> 00:30:27,540
ููŠู‡ ู„ู‚ุจุงู„ู‡ุง ุชู†ูŠู† ู†ุงู‚ุต three point six ุฅุฒุงูŠ ูƒู†ุช
390
00:30:27,540 --> 00:30:30,700
ุงู„ุฒู…ู† ุจุฌู„ุฏ ุจุตูŠุญู‡ ุจุตูŠุญู‡ ู…ู† ุฃุณุฎู†ุง ุงู„ุฎู…ุณุฉ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†
391
00:30:30,700 --> 00:30:36,100
ูŠุนู†ูŠ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ู„ูŠ ู‡ูˆ ุงู„ูˆุณุท ุชู„ุงุชุฉ point ุณุชุฉ
392
00:30:36,100 --> 00:30:42,620
ู…ุถุฑูˆุจุง ููŠู‡ูˆุงุญุฏ ู†ุงู‚ุตุฉ ุชู„ุงุชุฉ upon ุณุชุฉ ุฒุงุฏ keep going
393
00:30:42,620 --> 00:30:46,300
ู„ุฅู†ู‡ ุจุนุฏู‡ุง ูŠุจุฏูˆุง serious ุณุชุฉ ู†ุงู‚ุต .. ุงู‡ ู„ุญุฏ ุฏูŠุช
394
00:30:46,300 --> 00:30:52,600
ู…ูŠู† ุชุฎุชู…ู†ุชุŸ ู„ุญุฏ ุชู…ุงู†ูŠุฉ .. ู„ุญุฏ ุฏูŠุช ู…ูŠู† ู‡ูŠ ุนุงุฏุชุŸ ุงู†ุง
395
00:30:52,600 --> 00:30:56,280
ูˆูŠู† ูˆู‚ูุชุŸ ู‡ุฐู‡ ุงู„ุฃุตู„ .. ุงุณุชู†ูˆุง ุจุณ ุฃู†ุง ูˆุงุด ุฎุฑุจุทุชุŸ
396
00:30:56,280 --> 00:31:02,060
ู‡ุฐู‡ .. ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุชู„ุงุชุฉ hands ุตุฑุงุญุฉ ู‡ุฐู‡ ุงู„ุชู„ุงุชุฉ
397
00:31:02,060 --> 00:31:05,500
hands ุงู‡ ูู„ุญุฏ ุฏูŠุช ุงู„ุฒู…ู† ุงุฑุจุนุชุงุด ูŠุนู†ูŠ ุชุชูˆุง ุณูˆุง
398
00:31:05,500 --> 00:31:11,930
ุงุฑุจุนุชุงุดุนู†ุฏู…ุง ุงู„ T ุชุณูˆู‰ 14 ู†ูŠุญุŸ ู„ุฃู† ุฃู†ุช ุชู…ุดูŠ ู„ุญุฏ ุงู„
399
00:31:11,930 --> 00:31:18,350
T ุชุณูˆู‰ 14 ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู† ูŠุนู†ูŠุŸ ู‚ูŠู…ุฉ ุงู„ X ูˆุงุญุฏ ู†ุงุฌุณ
400
00:31:18,350 --> 00:31:22,830
ุงู„ูˆุณุท ุชู„ุงุชุฉ point ุณุชุฉ ู…ุถุฑูˆุจุง ููŠู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ T ู†ุงุฌุณ
401
00:31:22,830 --> 00:31:27,130
ุชู„ุงุชุฉ ุนู†ุฏ ุงู„ 14 ูƒุงู…ุŸ ุชู„ุงุชุฉ ู†ุงุฌุณ three point six
402
00:31:27,130 --> 00:31:34,310
ู‡ุฐุง ูƒู„ู‡ ูŠุงุชู‡ ุชุทู„ุน ู„ู„ุฌูˆุงุจ ุงู„ู†ู‡ุงุฆูŠ ู†ูŠุญ ุงุทู„ุน ุงุณู…ู‡ ุฅูŠุด
403
00:31:34,310 --> 00:31:40,110
ุงู„ auto covariance ุนู†ุฏ ุฃูŠ lagุนู†ุฏ ุงู„ lag ุชู„ุงุชุฉ ู…ู†ูŠุญ
404
00:31:40,110 --> 00:31:45,690
ู‡ุฌูŠุช ู„ูˆ ุงู†ุช ุฌุณู…ุชู†ูŠ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ูŠุนู†ูŠ ู„ูˆ ุฌุณู…ุชู†ูŠ
405
00:31:45,690 --> 00:31:50,030
ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุฃู†ุง ุนุดุงู† ูŠุจูŠู† ุงู„ุฎุท ุชุจุนูŠ ู„ุฅู† ู„ูˆ ุทู„ุนุช
406
00:31:50,030 --> 00:31:54,330
ููˆู‚ ู…ุด ู‡ูŠุจูŠู† ููŠ ุงู„ computer ุจุณ ู„ูˆ ุฌุณู…ุช gamma hat
407
00:31:54,330 --> 00:31:59,490
ุนู†ุฏ ุงู„ lag ุชู„ุงุชุฉ ุชู‚ุณูŠู… gamma hat ุนู†ุฏ ุงู„ lag zero
408
00:31:59,490 --> 00:32:05,790
ุงู„ู„ูŠ ุงุญู†ุง ู‚ุจู„ ุดูˆูŠุฉ ุฌูŠุจู†ุงู‡ ูู‡ูŠุนุทูŠู†ูŠ raw hat ุนู†ุฏ ุงู„
409
00:32:05,790 --> 00:32:11,160
lag ุชู„ุงุชุฉุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ูŠุงู‹ ุงู„ู„ูŠ ุงุญู†ุง ุนุงู…ู„ูŠู†ู‡ ู…ู†ูŠุญุฉ
410
00:32:11,160 --> 00:32:15,440
ูุงุญู†ุง ุฌูŠุจู†ุง ุงู„ raw hat ุนู†ุฏ ุงู„ zero ูˆุงู„ุงู† ุฌูŠุจู†ุง ุงู„
411
00:32:15,440 --> 00:32:19,780
raw hat ุนู†ุฏ ุงู„ุชู„ุงุชุฉ ุจุชู‚ุณู…ู‡ู… ูุจูŠุนุทูŠูƒ ุงู„ raw hat ุนู†ุฏ
412
00:32:19,780 --> 00:32:23,340
ุงู„ุชู„ุงุชุฉ ุจู†ูุณ ุงู„ู…ู†ุทู‚ ุทุจุนุง ุงู„ raw hat ุนู†ุฏ ุงู„ lag ู…ู†
413
00:32:23,340 --> 00:32:28,700
ูˆุงุญุฏ ูˆ ุงู„ gamma hat ุนู†ุฏ ุงู„ lag ูˆุงุญุฏ ู…ุธุจูˆุท ูˆ ุฒูŠ ู…ุง
414
00:32:28,700 --> 00:32:33,660
ุงู†ุชูˆุง ุดุงูŠููŠู† ุจุงู„ู†ุณุจุฉ ู„ู„ auto covariance ุตุญูŠุญ ุนู†ุฏ
415
00:32:33,660 --> 00:32:38,730
ุงู„ lag ูˆุงุญุฏ ุงุนุทุงู†ูŠ ุณุงู„ุจ 11 ู‡ูŠู‡ุงุนููˆุง ุณุงู„ุจ ูˆุงุญุฏ
416
00:32:38,730 --> 00:32:45,670
ูˆุฎู…ุณุชุงุด ูŠุนู†ูŠ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ ูˆู„ูƒู† ู‡ุฐุง ู…ุง ุจูŠู‚ูˆู„ู„ูŠ ู‚ูˆู‰
417
00:32:45,670 --> 00:32:50,250
ูˆู„ุง ุถุนูŠู ู…ุธุจูˆุท ุงู„ู„ูŠ ุจูŠู‚ูˆู„ูƒ ู‚ูˆู‰ ูˆุถุนูŠู ู…ู† ู‡ูˆ ุงู„ raw
418
00:32:50,250 --> 00:32:53,670
ุฑุงุฌูŠุช ุงู„ raw ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ auto correlation
419
00:32:53,670 --> 00:32:57,530
ุฒูŠุงุฏุฉ ุงู„ุฎูŠุฑ ุฎูŠุฑูŠู† ุญูƒูŠู†ุง ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุดูˆ ูŠุนู†ูŠ
420
00:32:57,530 --> 00:33:00,910
ุจุฑูˆุญ ุจูŠุนุทูŠู†ูŠ ุงู†ู‡ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ ู„ุฃู†ู‡ negative ูŠุนู†ูŠ
421
00:33:00,910 --> 00:33:04,710
ุจูŠุนุทูŠู†ูŠ ู†ูุณูŠ ุงู„ู„ูŠ ุจูŠุนุทูŠู†ูŠ ู‡ุฐุง ุงู„ auto covarianceูˆ
422
00:33:04,710 --> 00:33:08,510
ููˆู‚ ู…ู†ู‡ ุฒูŠุงุฏุฉ ุนู†ู‡ ุจูŠู‚ูˆู„ ู„ูŠ ุฅู† ู‡ุฐุง ุนู„ุงู‚ุฉ ู…ุง ู„ู‡ุง
423
00:33:08,510 --> 00:33:14,210
weak ูˆู„ุง strongุŒ ู‡ุฐู‡ weak ุทุจุนุงุŒ ู‡ุฐู‡ weak ุจู†ูุณ
424
00:33:14,210 --> 00:33:18,430
ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุฃูŠุถุง ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ ู‡ุงู† ุนู†ุฏ ุงู„ lag ุชู„ุงุชุฉ
425
00:33:18,430 --> 00:33:23,350
ูˆู„ูƒู† ุฃู†ุง ู…ุงุจุนุฑู ู‡ูŠ ู‚ูˆูŠุฉ ูˆู„ุง ุถุนูŠูุฉุŒ ู„ูƒู† ู„ู…ุง ุฅุญู†ุง
426
00:33:23,350 --> 00:33:27,800
ุฌูŠุจู†ุง ุงู„ุฑูˆุญุงุช ุนู†ุฏ ุงู„ lag ุชู„ุงุชุฉุŒ ุดูˆ ุนุทุงูƒุŸุนูƒุณูŠุฉ
427
00:33:27,800 --> 00:33:33,180
ุถุนูŠูุฉุŒ ุนู„ู‰ ุดุจุงุจ ุงู„ุขู† ุงุญู†ุง ูู‡ู…ู†ุง ู…ู† ู‡ุฏูˆู„ุฉ ุงู„ู…ุซุงู„ูŠู†ุŒ
428
00:33:33,180 --> 00:33:35,700
ู…ู† ู‡ุฐุง ุงู„ู…ูˆุถูˆุนุŒ ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ auto
429
00:33:35,700 --> 00:33:39,620
covarianceุŒ ุงูŠู‡ ุงู„ auto covariance ูˆู…ูŠู† ูƒู…ุงู†ุŸ ูˆ ุงู„
430
00:33:39,620 --> 00:33:44,720
auto correlationุŒ ุญู‚ูŠู‚ุฉ ุจู‚ู‰ ู„ุฏูŠ ู…ูˆุถูˆุน ุงุณู…ู‡partial
431
00:33:44,720 --> 00:33:48,340
autocorrelation ุงู„ partial autocorrelation ุงู†ุง
432
00:33:48,340 --> 00:33:53,360
ูŠุนู†ูŠ ุงู† ุดุงุก ุงู„ู…ูˆู„ุง ููŠู…ุง ุจุนุฏ ู‡ุดุฑุญู‡ ุจุชูุตูŠู„ ุงู„ุชูุตูŠู„
433
00:33:53,360 --> 00:33:58,660
ูู‡ุชุฌุฏูˆู‡ ู…ูˆุฌูˆุฏ ู„ูŠุด
434
00:33:58,660 --> 00:34:04,160
ุงู†ุง ู…ุด ุญุงุทู‡ ู‡ู†ุง ุงู‡
435
00:34:04,160 --> 00:34:09,420
ู…ุด ุญุงุทู‡ ู‡ู†ุง ุงู†ุง ู…ุด ุญุงุทู‡ ุนู„ู‰ ุงู„ูƒู…ุจูŠูˆุชุฑ ู‡ุฐุง ู‚ุตุฏูŠ ู‡ูˆ
436
00:34:09,420 --> 00:34:14,260
ู…ูˆุฌูˆุฏู…ูˆุฌูˆุฏ ูˆ ุงู†ุง ูŠุนู†ูŠ ู‡ุดุฑุญู‡ ุงู† ุดุงุก ุงู„ู„ู‡ ูˆ ู‡ู†ุฌูŠู‡
437
00:34:14,260 --> 00:34:19,880
ุจุชูุงุตูŠู„ ุจุณ ุฎู„ูŠู†ุง ู†ู‚ูˆู„ ูˆุฌุชู‡ ูŠุนู†ูŠ ููŠ ู…ูˆุถูˆุน ุงู„ู„ูŠ ..
438
00:34:19,880 --> 00:34:22,860
ุงู„ู„ูŠ .. ุงู„ู„ูŠ ู‡ูŠุฏุฎู„ ููŠู‡ ุงู„ partial orthocorrelation
439
00:34:22,860 --> 00:34:26,920
ูŠุนู†ูŠ ุงู„ุงุฑุชุจุงุท ุงู„ุฌุฒุกูŠ partial ุงู„ุฌุฒุก ุงู‡ ูˆ ู‡ูˆ ูŠู…ูƒู†
440
00:34:26,920 --> 00:34:31,340
ูŠูƒูˆู† ู‡ูˆ ุงู„ุฃู‡ู… ุจุงู„ู…ู†ุงุณุจุฉ ู‡ูˆ ุงู„ุฃู‡ู… ู…ู† ุงู„ partial
441
00:34:31,340 --> 00:34:33,980
orthocorrelation ูŠุนู†ูŠ ู‡ูˆ ุงู„ู„ูŠ ุงุญู†ุง ููŠ ุงู„ุญูŠุงุฉ
442
00:34:33,980 --> 00:34:39,050
ุงู„ุนู…ู„ูŠุฉ ุจู†ุชุทู„ุน ุนู„ูŠู‡ูุฃูŠุถุง ุงุญู†ุง ุจุณ ู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€
443
00:34:39,050 --> 00:34:41,610
partial autocorrelation ูŠู…ูƒู† ุฎู„ุงู„ ุฃุณุจูˆุนูŠู† ุชู„ุงุชุฉ
444
00:34:41,610 --> 00:34:44,790
ู‡ู†ุตู„ู‡ ุงู† ุดุงุก ุงู„ู„ู‡ ูˆ ู‡ู†ุดุฑุญู‡ ุจุงู„ุชูุตูŠู„ ูˆ ู‡ู†ุนุทูŠู‡
445
00:34:44,790 --> 00:34:47,990
ุจุงู„ุชูุตูŠู„ ุฃูƒุชุฑ ูˆ ู‡ู†ู‚ูˆู„ูƒ ุฐุงูƒุฑูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ ACF
446
00:34:47,990 --> 00:34:51,730
ุนุงุฑููŠู† ุดูˆ ACF ูŠุนู†ูŠุŸ ุงู„ู„ูŠ ู‡ูŠ ุงู„ auto correlation
447
00:34:51,730 --> 00:34:55,550
function ูˆ ุงู„ ACVS ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ auto correlation
448
00:34:55,550 --> 00:35:02,590
covariance function ุฐุงูƒุฑูŠู†ู‡ุง ู‡ู†ู‚ูˆู„ูƒูˆุง ู‡ุฌุชู†ูŠุด ุชุทุจูŠู‚
449
00:35:02,590 --> 00:35:07,850
ุนู„ู‰ ุงู„ุจุฑู†ุงู…ุฌ Rุนุงู„ุจุฑู†ุงู…ุฌ R ู…ู† ุฎู„ุงู„ ู‡ุฐุง ุงู„ู…ุซุงู„ ู‡ุฐุง
450
00:35:07,850 --> 00:35:11,990
ุงู„ู…ุซุงู„ ู…ุฏุฎู„ูŠู† ุงู„ series ุงู„ู„ูŠ ุฏุฎู„ู†ุงู‡ุง ุงู„ู„ูŠ ู‡ูŠ ู‚ุจู„
451
00:35:11,990 --> 00:35:18,170
ู‚ู„ูŠู„ ู…ุซุงู„ ู‚ุจู„ ู‚ู„ูŠู„ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุงู„ู…ุซุงู„ ู‡ุฐุง ุงู„ู…ุซุงู„ู‡ูŠ
452
00:35:18,170 --> 00:35:21,430
ุงู„ series ูˆุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุงู†ุง ู…ุด ูƒุชูŠุฑ ู…ุนู†ู‰ ุงู†ูŠ
453
00:35:21,430 --> 00:35:24,750
ุงุญูˆู„ู‡ุง ู„ts object ู…ุน ุงู†ู‡ ุจู†ูุน ุงู†ูƒ ุชุญูˆู„ู‡ุง ู„ts
454
00:35:24,750 --> 00:35:27,890
object ุจุณ ู‡ู†ุง ู…ุด ูƒุชูŠุฑ ุงู†ุง ุจุชูุฑุฌ ู…ุนุงูŠุง ุงู†ูŠ ุงุญูˆู„ู‡ุง
455
00:35:27,890 --> 00:35:32,690
ู„ts object ุงู„ุณุจุจ ูŠุง ุดุจุงุจ ุงู†ู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ function
456
00:35:32,690 --> 00:35:36,530
ุงู„ู„ูŠ ุงุณู…ู‡ุง acf ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ุจุฑู†ุงู…ุฌ R ููŠ ุงู„
457
00:35:36,530 --> 00:35:40,750
package ุงู„ู„ูŠ ุงุณู…ู‡ stats ู…ุด ููŠ package ุงุณู…ู‡ stats ูˆ
458
00:35:40,750 --> 00:35:44,290
ุจูŠุนู…ู„ build in R ู…ูˆุฌูˆุฏ ูˆ ุจูŠุนู…ู„ ุญุงุฌุงุช ูƒุชูŠุฑุฉ ูููŠ
459
00:35:44,290 --> 00:35:49,050
function ุงุณู…ู‡ุง acf ู‡ุฏุง ู‡ูŠูุจุชุงุฎุฏ ุงู„ู…ุฏุฎู„ ุงู„ุฃูˆู„ุงู†ูŠ
460
00:35:49,050 --> 00:35:52,330
ุงู„ู„ูŠ ู‡ูŠ ุงู„ series ูƒ time series ูˆ ูƒ vector ูƒ
461
00:35:52,330 --> 00:35:56,670
numeric ูู…ุงููŠุด ุฏุงุนูŠ ุงู‚ูˆุฏ ุงุบู„ุจ ุญุงู„ูŠ ูˆ ุงุนู…ู„ู‡ุง ุงู„
462
00:35:56,670 --> 00:35:59,310
time series object ู…ุน ุงู†ู‡ ุงุญู†ุง ุจู†ูุถู„ ู‡ุฐุง ุงู„ูƒู„ุงู…
463
00:35:59,310 --> 00:36:03,710
ูˆู„ูƒู† ุทุงู„ู…ุง ุจุชุนุงู…ู„ ู…ุนู‡ุง ุจูƒู„ ุจุฑูŠุญูŠุฉ ุงุฐุง ุงู†ุง ููŠ ุงุฎุฏู‡ุง
464
00:36:03,710 --> 00:36:08,330
ูƒ time series object ุฒูŠ ู…ุง ุชุดุงูŠููŠู† ุนููˆุง ูƒ numeric
465
00:36:08,330 --> 00:36:13,320
variable ู†ูŠุญ ูˆ ุฏุฎู„ู‡ู„ู‡ุฐุง ุงู„ู…ุชุบูŠุฑ ุงู„ู€ function ุงุณู…ู‡ุง
466
00:36:13,320 --> 00:36:17,780
ACF ุงู„ู€ arguments ุชุจุนุงุชู‡ุง ุงู„ู…ุฏุฎู„ุงุช ุชุจุนูˆู†ู‡ุง ูˆุงุญุฏ ู…ู†
467
00:36:17,780 --> 00:36:21,940
ุงู„ู…ุฏุฎู„ุงุช ุงุณู…ู‡ type ุงู„ู†ูˆุน ูˆุงู„ู†ูˆุน ู‡ู†ุง ูƒู…ุง ุชุดุงู‡ุฏูˆู†
468
00:36:21,940 --> 00:36:25,540
ูƒุงุชุจ ุฃู†ุง ูƒู„ู…ุฉ ู…ูŠู† covariance ูˆูƒุฃู†ู‡ ุจูŠู‚ูˆู„ูŠ
469
00:36:25,540 --> 00:36:30,360
covariance correlation partial ู‡ู†ุดูˆูู‡ุง ุงู„ุขู† ูƒู…ุงู†
470
00:36:30,360 --> 00:36:37,270
ุดูˆูŠุฉ ูˆููŠ ู‡ู†ุง lag.max ุงู„ู„ูŠ ู‡ูŠ ุงู„ H ุงู„ lagุงู„ู€ Lang
471
00:36:37,270 --> 00:36:42,130
maximum value ุงู„ู„ูŠ ุจุฏูˆูŠุงู‡ุง ู…ู† ู‡ูŠ ุชู„ุงุชุฉ ูˆ ูƒู„ู…ุฉ plot
472
00:36:42,130 --> 00:36:45,890
ุนุดุงู† ูŠู‚ูˆู„ูŠ ุฃุฑุณู…ู‡ุง ูˆู„ุง ู…ุง ุฃุฑุณู…ู‡ุงุด ู false ูŠุนู†ูŠ
473
00:36:45,890 --> 00:36:51,110
ู…ุงุชุฑุณู…ุด true ุฃุฑุณู… ุฃุฑุณู… ูˆู„ุง ู…ุงุชุฑุณู…ุด ู‡ูˆ ุจูŠู‚ูˆู„ูƒ ุจุฏูƒ
474
00:36:51,110 --> 00:36:57,220
ุฃุฑุณู…ู„ูƒ ุงู„ ACF ูˆู„ุง ู…ุงุฑุณู…ู‡ุงุด ู…ุงุดูŠ ุงู„ุญูŠู†ูุฅุฐุง ุงุญู†ุง
475
00:36:57,220 --> 00:37:00,000
ููŠู†ุง ู†ุณุชุฎุฏู…ู‡ุง ุงู†ุง ุจุฏูŠ ููŠ ุงู„ู…ูˆุงุทู† ุฃูˆู„ุง ุงู„
476
00:37:00,000 --> 00:37:02,920
covariance ุนุดุงู† ุงู†ุง ู‚ู„ุชู„ู‡ type ูŠุณุงูˆูŠ covariance
477
00:37:02,920 --> 00:37:06,480
ูˆููŠ ุงู„ function ุงู„ุชุงู†ูŠ ูˆุณู…ูŠุชู‡ ุงู†ุง ุจุงู„ู…ู†ุงุณุจุฉ cov ู‡ูŠ
478
00:37:06,480 --> 00:37:09,720
ููŠ ุงู„ function ุงู„ุชุงู†ูŠ ู‡ูŠ ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุงู†ุง ู…ุด
479
00:37:09,720 --> 00:37:13,880
ูƒุงุชุจ ู„ู„type ูˆูƒุฃู†ูŠ ุจู‚ูˆู„ู‡ ูŠุง R ุฎุฏ ุงู„ default ุงู„
480
00:37:13,880 --> 00:37:19,080
default ุนุงุฑููŠู† ู…ู† ู‡ูˆ correlation lagmax
481
00:37:19,080 --> 00:37:23,680
ูƒู…ุงู† ู…ุฑุฉ ู‡ูŠ ุงู„ H ู†ุญู† ููŠู†ุง ู†ุนู…ู„ู‡ run ู„ู‡ุฐุง ุงู„ code
482
00:37:24,000 --> 00:37:28,600
ูุจูŠุนุทูŠูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ covariance ู‡ุฐุง ู‡ูˆ ุจูŠุนุทูŠูƒ ุงู„ุขู†
483
00:37:28,600 --> 00:37:31,000
ุงู„ู„ูŠ ู‡ูŠ ุนู†ุฏ ุงู„ lag ู…ูŠู† ุงู„ lag ุงู„ู„ูŠ ุงุฎุชุงุฑุชู‡ูˆุง ุงู†ุชูˆุง
484
00:37:31,000 --> 00:37:35,280
lag ุชู„ุงุชุฉ ุจูŠุนุทูŠูƒ ุนู†ุฏ ุงู„ lag zero ู…ูŠู† ุฐุงูƒุฑูŠู† ุงู„ู‚ูŠู…ุฉ
485
00:37:35,280 --> 00:37:40,140
ู‡ุฐู‡ ุดูˆ ูƒุงู†ุฉ 5.2 ููŠ ุงู„ู…ุซุงู„ ู‚ุจู„ ู‚ู„ูŠู„ ุงู„ variance
486
00:37:40,140 --> 00:37:45,140
ุงู„ู„ูŠ ุงุญู†ุง ุทู„ุนู†ุงู‡ุง ุฐุงูƒุฑูŠู†ู‡ุง ู‡ุชู†ุฑุฌุน ู„ู„ู…ุซุงู„ ุงู„ุณุงุจู‚
487
00:37:45,140 --> 00:37:53,540
ู‚ุฏุด ุทู„ุนุช ู‡ู†ุง 5.23 ูˆู„ุงู† ู‚ุฏุด ุทู„ุนู‡ุง ู‡ูˆุฎู…ุณุฉ ูุงุตู„ุฉ ูˆ
488
00:37:53,540 --> 00:37:57,180
ุชู„ุงุชุฉ ูˆ ุนุดุฑูŠู† ู‡ู„ุฃ ุงุชุฐูƒุฑูŠู† ุงู„ู‚ูŠู…ุฉ ุชุจุนุช ุงู„ .. ุงู„ ..
489
00:37:57,180 --> 00:37:59,780
ุงู„ auto conference ุนู†ุฏ ุงู„ lag ูˆุงุญุฏ ู„ู…ุง ุงู†ุง ู‚ู„ุช
490
00:37:59,780 --> 00:38:02,400
ุณุงู„ุจ ุงุญุฏุงุดุฑ ุจุนุฏูŠู† ุงู†ุง ุงุณุชุฎุทุท ู†ูุณูŠ ูˆ ู‚ู„ุช ู„ุฃ ุณุงู„ุจ
491
00:38:02,400 --> 00:38:07,720
ูˆุงุญุฏ ูุงุตู„ุฉ ูˆ ุฎู…ุณ ุฃุณุชุงุดุฑ ู‡ุงูŠ ู‡ุงุฏ ู‡ุงูŠ ุตุญูŠุญ ูˆ ุฑุงุญ ุฌุงุจ
492
00:38:07,720 --> 00:38:11,160
ุงู„ lag ุชู„ุงู†ูŠ ุงู„ู„ูŠ ุงู†ุง ู…ุด ุฌุงูŠุจู‡ ู„ูŠุด ู„ุฃู† ู‡ูˆ ุจูŠุณุชุฎุฏู…
493
00:38:11,160 --> 00:38:15,160
ุญุฏูŠุฏ lag ู…ูŠุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ู„ู„ maximum ุงู‡ ูˆ ุงุฎุฑ ู‚ูŠู…ุฉ
494
00:38:15,160 --> 00:38:18,300
ุงู„ู„ูŠ ุงู‡ุชูˆุง ูˆ ุทู„ุนุชูˆู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ุณุงู„ุจ ุณุชุฉ ูˆุชุณุนูŠู† ููŠ
495
00:38:18,300 --> 00:38:22,130
ุงู„ู…ูŠุฉ ู…ู†ูŠุญุฉู‡ุฐุง ุงู„ู€ Covariance ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Auto
496
00:38:22,130 --> 00:38:26,570
Correlation ุดูˆ ุจูŠุณูˆูŠุŸ ุจูŠูƒุณุจ ู‡ุฐู‡ ุงู„ู‚ูŠู… ูƒู„ู‡ุง ุนู„ู‰
497
00:38:26,570 --> 00:38:32,590
ู…ูŠู†ุŸ ุนู„ู‰ 5.23 ูุจูŠุนุทูŠูƒ ุงูŠุดุŸ ุงู„ู€ Auto Correlation
498
00:38:32,590 --> 00:38:37,850
ุงู„ุทุจูŠุนูŠ ุนู†ุฏู†ุง ู‡ูŠ ู…ุง ูˆุงุญุฏุฉ ู…ูŠู†ุŸ ูˆุงุญุฏุŒ ุตุญุŸ ูˆู‡ุฐุง
499
00:38:37,850 --> 00:38:40,630
ุนู†ุฏู†ุง ู„ุงุฌ ูˆุงุญุฏุŒ ูˆู‡ุฐุง ู„ุงุฌ ุชุงู†ูŠู†ุŒ ูˆู‡ุฐุง ู„ุงุฌ ู…ูŠู†ุŸ
500
00:38:40,630 --> 00:38:43,970
ุชู„ุงุชุฉุŒ ู…ุธุจูˆุท ูŠุง ุดุจุงุจ ู‡ูŠุŸ ู‡ู„ุฃ ู„ุฃ ู†ุญู† ุฎู„ูŠู† ุงู„ู€
501
00:38:43,970 --> 00:38:48,690
Function ู‡ุฐู‡ ุนู„ู‰ ุงู„ุจุฑู†ุงู…ุฌ Rู†ุดูˆู ูƒูŠู ู…ุซู„ุง ู‡ูŠ ูˆ ู†ุฎุชู…
502
00:38:48,690 --> 00:38:55,210
ูŠุนู†ูŠ ู…ุญุงุถุฑุฉ ุงู„ูŠูˆู… ุฎู„ูŠู†ูŠ
503
00:38:55,210 --> 00:39:10,870
ุฃู†ุง ุฃู†ุณุฎ ุงู„ code ู‡ุฐุง ุทุจุนุง
504
00:39:10,870 --> 00:39:13,350
ู‡ุฐู‡ ููŠูƒ ุชุจุฏู„ูˆู‡ุง ูŠุณุงูˆูŠ ุฅุฐุง ุจุชุญุจ ูŠุนู†ูŠ ู…ุง ู‡ูŠ ู†ูุณ
505
00:39:13,350 --> 00:39:17,860
ุงู„ู…ุนู†ู‰ูˆุฅุฐุง ุจุชุญุจูˆุง ู‚ุจู„ ู…ุง ุฃุจู„ุด ุฃุญูƒูŠ ุฃู†ุง ุฎู„ูŠู†ูŠ ุฃุนู…ู„
506
00:39:17,860 --> 00:39:21,800
ุนู„ุงู…ุฉ ุงุณุชูู‡ุงู… ู„ู…ูŠู† ู„ู„ ACF ูุดูˆู ุฅูŠุด ุทุจูŠุนุชู‡ุง ู‡ุฐู‡ ุงู„
507
00:39:21,800 --> 00:39:26,800
function ูุฅุฐุง
508
00:39:26,800 --> 00:39:30,920
ุงู„ auto correlation ู‡ูŠ ุงุณู…ู‡ุง ุงุณู…ู‡ุง ุงูŠุด auto and
509
00:39:30,920 --> 00:39:34,400
cross covariance and correlation function
510
00:39:34,400 --> 00:39:37,760
estimation ูˆู‡ุฐุง ู‡ูˆ ุงู„ description ู‡ุฐุง ู‡ูŠ ุงู„
511
00:39:37,760 --> 00:39:41,560
arguments ุชุจุนุชู‡ุง ุฎู„ูŠู†ูŠ ุฃุนู…ู„ zoom ุดูˆูŠุฉ ู„ุชุญุช ู‡ู†ุง
512
00:39:48,640 --> 00:39:52,680
ููŠ ุจุงู„ุงุฎูŠุฑ dot dot dot ูŠุนู†ูŠ ุงูŠู‡ ูŠุนู†ูŠ ููŠ ุฅู…ูƒุงู†ูƒ ุชุญุท
513
00:39:52,680 --> 00:39:55,700
ุฃูŠ ุฅุดูŠ ุฌูˆุงุช ุงู„ function ุถู…ู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ูŠูˆุฏ ุงู„ู„ูŠ ู‡ูˆ
514
00:39:55,700 --> 00:39:59,360
ุงู„ู„ูŠ ุญุงุทุชู‡ุง ุงู„ function ู…ุด ุชุฑูˆุญ ุชุญุท ุฃูŠ ูƒู„ุงู… ู„ุฃ
515
00:39:59,360 --> 00:40:02,600
ูŠุนู†ูŠ ู…ุง .. ู…ุด ู‡ุฐู‡ ุงู„ dot dot ูŠุนู†ูŠ ู…ุณู…ูˆุญู„ูƒ ุชุญุท
516
00:40:02,600 --> 00:40:07,460
ุญุงุฌุงุช ุจุณ ู…ุด ุญุงุฌุงุช ู…ู† ู‡ูˆ ุญุงุฌุงุช ุจุฑู…ุฌุฉ ููŠ ุงู„ function
517
00:40:07,460 --> 00:40:09,820
ูŠุนู†ูŠ ู‡ูˆ ุนุงุฑูู‡ ูˆ ุฃู†ุช ู„ุงุฒู… ุชูƒูˆู† ุนุงุฑู ุงู„ function
518
00:40:09,820 --> 00:40:14,300
ุงู„ู…ู‡ู…ู…ุฏุฎู„ุงุช ุงู„ู€ function ุฃูˆู„ ู…ุฏุฎู„ ู…ูŠู† ู‡ูˆ ุงู„ู€
519
00:40:14,300 --> 00:40:17,540
series ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ X ูˆ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠูƒูˆู† time series
520
00:40:17,540 --> 00:40:20,760
ูˆ ู…ู…ูƒู† ู…ุงูŠูƒูˆู†ุด time series ู…ู…ูƒู† ูŠูƒูˆู† vector ุนุงุฏูŠ ูˆ
521
00:40:20,760 --> 00:40:23,520
ู…ู…ูƒู† ุจุงู„ู…ู†ุงุณุจุฉ univers ูŠุนู†ูŠ ุฃูˆุญุฏูŠ ูˆ ู…ู…ูƒู†
522
00:40:23,520 --> 00:40:26,100
multivariate ู…ุฏุชู†ุง ุฅู„ู‰ ุงู„ุขู† multivariate ูˆู„ุง
523
00:40:26,100 --> 00:40:29,140
univariate univariate multivariate ูŠุนู†ูŠ ู…ุชุนุฏุฏ
524
00:40:29,140 --> 00:40:34,040
univariate ู…ุชุบูŠุฑ ุนุดูˆุงุฆูŠ ูˆุงุญุฏ ู…ุงููŠุด ุบูŠุฑู‡ ุงู„ lag max
525
00:40:34,040 --> 00:40:38,590
ู‡ูŠ ุงู„ H ูŠุง ุดุจุงุจ ู‡ูŠ ุงู„ lagูˆ ู‡ู†ุง ู„ู…ุง ู‡ูˆ ุญุงุทุท ุญุงุทุทู‡ุง
526
00:40:38,590 --> 00:40:41,550
null ูŠุนู†ูŠ ุนุดุงู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ูุฑุถูŠุฉ ุงู†ู‡ุง null ูŠุนู†ูŠ ุจุฑูˆุญ
527
00:40:41,550 --> 00:40:45,850
ุจุญุณุจู‡ุง ู‡ูˆ ู…ู† ุนู†ุฏู‡ ู„ูˆ ุงู†ุช ุณุจุชู‡ุง ู„ูˆ ู…ุงุฏุฎู„ุชู‡ุงุด ุจุฑูˆุญ
528
00:40:45,850 --> 00:40:49,610
ุจุญุณุจู‡ุง ุนู†ุฏ ุงู„ lag ุงู„ู„ูŠ ู‡ูˆ ุงู†ูŠ ู…ุจุฑู…ุฌ ุนู„ู‰ ุงู†ู‡ N ู†ู‚ุต
529
00:40:49,610 --> 00:40:55,030
ูˆุงุญุฏ N ุญุฌู… ุงู„ุนูŠู†ุฉ ุงู„ sample size ุงูˆ ุฎู„ูŠู†ูŠ ุงู‚ูˆู„ ุทูˆู„
530
00:40:55,030 --> 00:40:59,340
ุงู„ series ุงู„ length ุงู„ seriesุจู‚ูˆู„ ุงู„ series ู…ุซู„ุง
531
00:40:59,340 --> 00:41:02,800
and ูุจุฑูˆุญ ุจุญุณู… ุนู†ุฏ ุฏูŠ ุชู…ูŠู† and ู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ ุฃุณุงุณ
532
00:41:02,800 --> 00:41:06,080
ุนู†ุฏ ุฅูŠุดุŸ ุนู†ุฏ ุงู„ูˆุงุญุฏ ุฃูˆ ู…ูŠู†ุŸ and ู†ุงู‚ุต ุงุชู†ูŠู† ุนู†ุฏ
533
00:41:06,080 --> 00:41:12,740
ู…ูŠู†ุŸ ุชู…ูŠู† ุจู†ุช ู…ุง ุนู†ุฏูƒ ุงู„ H ู‡ุฐู‡ ู‡ูˆ ุงู„ H ุงู„ู…ูู‡ูˆู…ุŸ
534
00:41:12,740 --> 00:41:17,180
ูู‡ูˆ ู„ุญุงู„ู‡ ุจุญุณู… ุนู†ุฏ ุงู„ู„ูŠ ุชุตุจุท ุงู„ู…ู‡ู…ุงู„ู€ type ุนู†ุฏูƒ
535
00:41:17,180 --> 00:41:19,660
ุชู„ุช ุฃู†ูˆุงุน ุฃูˆู„ู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ correlation ูˆู‡ูˆ ุงู„
536
00:41:19,660 --> 00:41:23,320
default ุงู„ูุฑุถูŠ ุซู… ุฅุฐุง ุจุชูƒุดู ุจุชุฎุชุงุฑ mean covariance
537
00:41:23,320 --> 00:41:26,060
ุฃูˆ ุงู„ partial ุงู„ partial ู‡ู†ุฌูŠุจ ุงู„ุชูุงุตูŠู„ ุงู† ุดุงุก
538
00:41:26,060 --> 00:41:29,340
ุงู„ู„ู‡ ููŠู…ุง ุจุนุฏ ุงู„ plot ุนู†ุฏูƒ ุฎูŠุงุฑูŠู† ูŠุง true ูŠุง false
539
00:41:29,340 --> 00:41:34,140
true ูŠุนู†ูŠ ุฃุฑุณู…ุŒ false ู…ุงุชุฑุณู…ุดุงู„ not action ู‡ุฐู‡
540
00:41:34,140 --> 00:41:37,220
ู…ุนู†ุงุชู‡ ุฃู†ู‡ ู„ูˆ ูƒุงู† ููŠ ุนู†ุฏู‡ุง ู‚ูŠู… ู…ูู‚ูˆุฏุฉ ูˆููŠ ู‚ูŠู… ู…ุด
541
00:41:37,220 --> 00:41:40,380
ู…ูู‚ูˆุฏุฉ ูŠุนู†ูŠ ุฃู†ุช ุจุชุนุฑู ุฃุญูŠุงู†ุง ุณู„ุณู„ุฉ ุฒู…ู†ูŠุฉ ู‡ุฐู‡ ุฒู…ู†
542
00:41:40,380 --> 00:41:44,560
ุฒู…ู† ู…ุงุดูŠ ู„ู„ุฃุจุฏุŒ ุงู„ุฒู…ู† ุฃุตู„ุง ุณู„ุณุฉุŒ ุชุนุฑููŠู† ุฃู†ุง ู…ุด
543
00:41:44,560 --> 00:41:47,620
ุฌุงุจุช ูƒู„ู…ุฉ seriesุŸ series ู„ู…ุง ุฃู†ุชูˆุง ู‚ุฏ ุฏุฑุณุชูˆุง
544
00:41:47,620 --> 00:41:51,180
calculus ู…ุด infinite series ูŠุนู†ูŠุŒ ูุงู„ุฒู…ู† ุฃุตู„ุง ..
545
00:41:51,180 --> 00:41:54,520
ุฃู†ุง ุนุงุฑู ุฃู† ูˆุงู†ูŠ ุจุทู„ ุงู„ุฒู…ู†ุŸ ุงู„ุฒู…ู† ู…ุงู†ูŠ ู…ุงู„ุฏู‡ุŒ ูˆุงู†ูŠ
546
00:41:54,520 --> 00:41:59,570
ุจุฎุชุงุฑุŸ ุฒู…ู† ู…ุงุดูŠู„ุง ุจุงุนุฑู ู…ุชู‰ ุจุฏุฃ ูˆู„ุง ู…ุชู‰ ุจูŠุฎุชู… ุตุญุŸ
547
00:41:59,570 --> 00:42:05,910
ู‡ูˆ ู‡ูŠูƒ ุงู„ุฃุตู„ ู‡ูŠูƒ ุงู„ุฒู…ู† ุงู„ continuous ูู‡ูˆ ู‡ูŠูƒ ู„ูƒู†
548
00:42:05,910 --> 00:42:08,970
ุงุญู†ุง ุนุดุงู† ู‡ูŠูƒ ุจู†ู‚ูˆู„ ุงู†ู‡ ุงุญู†ุง ุงู„ู…ุดุงู‡ุฏุงุช ุงู„ูˆุงู‚ุนูŠุฉ
549
00:42:08,970 --> 00:42:11,970
ุจู†ุงุฎุฏ sample ุจู†ุนุฑู ู…ู† ูˆูŠู† ุจุฏุฃ ูˆ ู…ู† ูˆูŠู† ุฎุชู… ู„ูƒู†
550
00:42:11,970 --> 00:42:18,330
theoretically no you cannot ู…ุตุจูˆุญุŸ ูู‡ุฐุง ุงู„ู†ุทู‚
551
00:42:18,330 --> 00:42:22,390
action ููŠู…ุง ู„ูˆ ูƒุงู† ููŠ ุณู†ุฉ ู…ู† ู‡ุฐู‡ ุงู„ุณู†ูˆุงุช ุงูˆ ููŠ ุนุฏุฉ
552
00:42:22,390 --> 00:42:27,190
ุณู†ูˆุงุช ู…ุงููŠุด ู‚ูŠู…ุจุงู„ุณูˆุฑูŠุฉ ูŠุง ุฌู…ุงุนุฉ ุงู†ู‡ ููŠ ุนู†ุฏูƒ ุจุนุถ
553
00:42:27,190 --> 00:42:30,550
ุงู„ู‚ูŠู… ู…ุด ู…ูˆุฌูˆุฏุฉ ุชุญูƒูŠ ุนู† ุฃุจุงุฑุฌุฉ ูˆููŠุฉ ููŠ ุบุฒุฉ ูˆู…ุง
554
00:42:30,550 --> 00:42:35,290
ุจุนุฑู ุบูŠุฑู‡ุง ููŠ ุฎู…ุณ ุณู†ูˆุงุช ู…ุง ุตุงุฑ ุงู†ู‚ุณุงู… ุตุงุฑ ู…ุง ุจุนุฑู
555
00:42:35,290 --> 00:42:40,410
ุดูˆู‡ ู…ุงุงุฎุฏุชุด ุงู„ู…ุดุงู‡ุฏุงุช ุนุจุฑ ู‡ุฐู‡ ุงู„ุณู†ูˆุงุช ุตุงุฑ ูƒุงุฑุซุฉ
556
00:42:40,410 --> 00:42:43,310
ุตุงุฑ .. ุงู„ู„ูŠ ุจุฏูƒ ูŠุนู†ูŠ ุดูˆููˆุง ุงู†ุง ุฃู‚ูˆู„ูƒูˆุง ุดุบู„ุฉ ุฃู†ุง
557
00:42:43,310 --> 00:42:48,930
ู…ุนู†ู‰ ุจู…ูŠู†ุŸ ุจุงู„ series ุจุงู„ lag ูˆ ุจุงู„ู†ูˆุน ู†ุญู† ูˆ ุจุงู„
558
00:42:48,930 --> 00:42:53,750
true ุทุจุนุง ูˆ false ู„ู„ plot ุงู„ true ูˆ ุงู„ falseู…ุงุดูŠ
559
00:42:53,750 --> 00:42:59,750
ุทูŠุจ ุงู„ุงู† ู†ุฎุชู… ุนู„ู‰ ุฃุณุงุณ ุงู†ู‡ ูŠุนู†ูŠ ููŠ ุงู„ู…ุซุงู„ ุงู„ู…ุซุงู„
560
00:42:59,750 --> 00:43:05,250
ู‡ูŠุฏุฎู„ู†ุง ุงู„ series ู…ุงุดูŠ ูˆ ู‡ุงูŠ ู‡ุฐุง ุงู„ุงู† ุงู„ plot
561
00:43:05,250 --> 00:43:07,990
ุจุชูƒุงุดูŠู‡ ุจุฏู‡ ุฑูุน ูƒู„ู…ุฉ covariance ุนุดุงู† ุชุดูˆู ุงู„
562
00:43:07,990 --> 00:43:13,050
output ูุจุชุนู…ู„ูˆู„ู‡ run ุฒูŠ ู…ุง ุดุงูŠููŠู† ุงู†ุชูˆุง ู…ู„ุงุญุธูŠู†
563
00:43:13,050 --> 00:43:15,510
ุนู„ู‰ ููƒุฑุฉ ู‡ุฐุง ู‡ูˆ ุงู„ lag ุงู„ู„ูŠ ุงู„ู…ูุฑูˆุถ ู‡ุฐุง ุงู„ูƒุงู† ุงู„ู„ูŠ
564
00:43:15,510 --> 00:43:19,940
ุงู„ู…ูุฑูˆุถ ุงู† ูŠูƒูˆู† ุฌุงุจ ุงู„ typeุจุณ ุงุฐุง ุณู…ูŠุชู‡ ุงู†ุง ูˆ ุฒูŠ
565
00:43:19,940 --> 00:43:22,560
ู…ุง ุงู†ุง ุจุณู…ูŠู‡ ู‡ูˆ ู…ุด ู…ุดูƒู„ุฉ .. ุงุญูƒูŠู†ุง ุจุนุฏ ุงู„ูƒู„ุงู… ููŠ
566
00:43:22,560 --> 00:43:26,540
ุงู„ุณุงุจู‚ ุงู„ู…ู‡ู… ู‡ูŠู‡ ูŠุทู„ุนู„ูƒ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ุดูุชู‡ุง ู‚ุจู„ ุดูˆูŠุฉ
567
00:43:26,540 --> 00:43:32,920
ู„ูˆ ุนู…ู„ุช true ู„ู„ plot ุงูŠุด ุจุฑุณู…ุŸ ุจุฑุณู… ู…ูŠู†ุŸ ุงู„
568
00:43:32,920 --> 00:43:37,880
covariance ู…ุด ุงู„ auto correlation ุงู‚ุจู„ ู…ูŠู†ุŸ ุงู„ lag
569
00:43:37,880 --> 00:43:44,800
ุงูŠ ู„ุงู„ุŸ ุชู„ุงุชุฉ ูุงู‡ู… ุชู†ุฑุณู…ุŸ ู‡ูŠู‡ ุฑุณู… .. ู†ุญู†ุŸูˆู‡ุฐุง
570
00:43:44,800 --> 00:43:49,060
ุจุงู„ู†ุณุจุฉ ู„ู„ูŠ ุชุญุช ู…ู†ู‡ ุนุดุงู† ุฃู†ุง ู…ุง ุญุฏุฏุช ุงู„ type ู‡ุงู†ุง
571
00:43:49,060 --> 00:43:51,840
ูƒุงุชุจ type ูŠุณุงูˆูŠ covariance ุงู„ู„ูŠ ุชุญุช ู…ู†ู‡ ุงู„ code
572
00:43:51,840 --> 00:43:55,580
ู‡ุฐุง ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ู‡ู„ ุฃู†ุง ูƒุงุชุจ typeุŸ ู…ุด ูƒุงุชุจ
573
00:43:55,580 --> 00:43:59,860
typeุŒ ุดูˆ ูŠุนู†ูŠ ู‡ูŠูู‡ู…ู‡ุง ู‡ูˆุŸ ุงู„ ู‡ูˆ auto correlation
574
00:43:59,860 --> 00:44:03,100
ูู‡ูˆ ุงู„ุขู† ุจูŠุญุณุจ auto correlation ู‡ูŠุฑู† ู‡ุฐุง ุงู„ุขู† ุงู„ู„ูŠ
575
00:44:03,100 --> 00:44:06,800
ุทู„ุน ู…ุนุงูƒูˆุง auto correlation ุงูŠูˆุฉ auto correlation
576
00:44:06,800 --> 00:44:10,910
ู†ุญูŠุงุŸ ุงูŠูˆุฉ auto correlationุจุฏูƒ ุชุฑุณู…ู‡ ู„ู„ auto
577
00:44:10,910 --> 00:44:15,610
correlation ุจุชุนู…ู„ู‡ true ุญุฑู ุงู„ T ู„ุญุงู„ู‡ ุจุชูƒููŠ ู†ู‡ุชุŸ
578
00:44:15,610 --> 00:44:21,430
ุจุชุนู…ู„ู‡ ูƒุฏู‡ุŸ ูˆูŠู† ุงู„ุฑุณู… ุนุงุฏุŸ ู‡ุฐู‡ ุฑุณู…ุฉ ุงู„ auto
579
00:44:21,430 --> 00:44:27,230
correlation ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ุง ู…ุตุจูˆุญุŸ ูˆู„ุงู† ุนู†ุฏูƒ
580
00:44:27,230 --> 00:44:32,360
ุนู†ุฏ ุงู„ lag ูˆุงุญุฏ ุนู†ุฏ ุงู„ lag ุงุชู†ูŠู†ุญุฌู… ุงู„ุนูŠู†ุŒ ุฃูŠู‡ุง
581
00:44:32,360 --> 00:44:35,880
ุนู„ุงู‚ุฉ ุจุญุฌู… ุงู„ุนูŠู†ุŒ ู‡ู†ุงุฎุฏู‡ุงุŒ ู…ูˆุฌูˆุฏ ู‡ุฏู ููŠ .. ููŠ
582
00:44:35,880 --> 00:44:39,140
ุงู„ู†ู‚ูˆุฏ ุงู„ู„ูŠ ู‚ุฏุงู… ุดูˆูŠุฉุŒ ุฃูŠู‡ุง ุนู„ุงู‚ุฉ ุจุญุฌู… ุงู„ุนูŠู† ุงู„ู„ูŠ
583
00:44:39,140 --> 00:44:44,100
ู‡ูˆ ุงู„ุฎุทูˆุท ุงู„ุฒุฑุนูŠุฉุŒ ุจุณ ูˆุงุถุญ ุฃู†ู‡ ู‡ู†ุง ูˆู„ุง ุฅูŠุดุŒ ููŠ ุฃูŠ
584
00:44:44,100 --> 00:44:49,020
ุงุฑุชุจุงุท ููŠ ุงู„ seriesุŒ ูุงู„ series ุดูƒู„ู‡ุง randomุŒ ู†ูŠุฉุŸ
585
00:44:49,020 --> 00:44:52,080
ู…ุงุดูŠ ุงู„ุญุงู„ ูˆู„ุง ู…ุด ู…ุงุดูŠุŸ ุฎู„ุงุตุŒ ุฃู†ุชูˆุง ุนุงุฑููŠู† ู„ูˆ ุฃู†ุง
586
00:44:52,080 --> 00:44:57,100
ู…ุงุญุทุชุด ุงู„ lagุŒ ุณูŠุจุชูˆุง ู‡ูŠูƒ ุงู„ุฃู…ูˆุฑ ุนุงูŠู…ุฉุŸุงู‡ ุงู‡ ู‡ูˆ ู„ุง
587
00:44:57,100 --> 00:45:00,260
ุงู†ุง ุงูŠุด ุจุญุณุจ ุจุญุณุจ ู„ุญุฏ ุฏูŠ ุงุชู‚ูˆู„ ุงู‡ ุนู…ู„ุช ุทุฑู‚ ุงู†ุง
588
00:45:00,260 --> 00:45:05,840
ุจุฏูŠู‡ุง force ูุจุญุณุจ
589
00:45:05,840 --> 00:45:10,800
ุงุชุทู„ุน ู„ุญุฏ ุฏูŠ ุชู…ูŠู† .. ุงู‡ ุงู„ู„ูŠ ู‡ูŠ ู…ูŠู† ูƒุงู† ุนุดุงู† ุนุฏุฏ
590
00:45:10,800 --> 00:45:14,220
ุงู„ู…ุดุงู‡ุฏุงุช ูƒุงู†ูˆุง ุงุฑุจุนุฉ ุงุชุงุด ูุจุชู„ุงู‚ูŠ ุจูŠุญุณุจ ู„ุญุฏ ุฏูŠ
591
00:45:14,220 --> 00:45:18,720
ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ู‡ุง ุนู„ู‰ ุงุญุฏุงุด ุนู„ู‰ ุงุณุงุณ ุงู† ู‡ูˆ ุชุตุจุท ู…ุนุงู‡
592
00:45:18,720 --> 00:45:24,280
ูŠุนู†ูŠ ูุจุญุณุจ ุนู†ุฏู‡ุง ูˆุงุญุฏ ุนู†ุฏู‡ุง .. ุจูƒู…ู„ุด ุนู†ุฏ ุงู„ุงุฑุจุนุชุงุด
593
00:45:24,280 --> 00:45:29,540
ูŠุนู†ูŠุจุงู„ุชุฃูƒูŠุฏ ุทูŠุจ ูŠุนู†ูŠ ูˆ ูŠุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ ุงู„ุฑุณู…ุฉ ู‡ุฏุง
594
00:45:29,540 --> 00:45:33,100
ู‡ูŠ ุงู„ู„ูŠ ู‚ุจู„ ุดูˆูŠุฉ ุนู…ู„ุชู‡ุง ุงู†ุง ุงู„ู„ูŠ ุนู†ุฏ ุงู„ู„ุงุฌุฆ 11
595
00:45:33,100 --> 00:45:37,500
ุงู„ู„ูŠ ู‡ูŠ ู‡ุงูŠ ุทูŠุจ ูŠุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ ู‡ูŠูƒุง ุงู„ุงู† ู‡ุฐุง
596
00:45:37,500 --> 00:45:41,080
ุงู„ู…ูˆุถูˆุน ุงู†ุชู‡ู‰ ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุจู„ุด ุจุดูƒู„
597
00:45:41,080 --> 00:45:44,820
ุฌุฏูŠ ุนุงุฏ ููŠ ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ูˆ ููŠ ุงู„ models ุงู„ู„ูŠ
598
00:45:44,820 --> 00:45:48,080
ุจูŠุฎุชุตูˆุง ููŠู‡ุง ุงู„ arma ูˆ ุงู„ karma ูˆ ุงู„ stationary ูˆ
599
00:45:48,080 --> 00:45:51,260
ุงู„ white noise ูˆ ุงู„ุฃู…ูˆุฑ ู‡ุฏู‰ ุงู„ู„ูŠ ู†ุณู…ุนู‡ุง ููŠ ุงู„ุญูŠุงุฉ
600
00:45:51,260 --> 00:45:51,600
ุงู„ู„ูŠ ุญุตู„