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1
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ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุจู†ุงุช
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ู‡ู†ุจู„ุด ููŠ ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุจุฏุฃู†ุง ููŠู‡ ุจุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ
3
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ุฃุนุทูŠู†ุง ุฏู‚ูŠู‚ุฉ ุจุฏุงูŠุฉ .. ู†ู‡ุงูŠุฉ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ
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ุงู„ุจุฏุงูŠุฉ ุนู†ู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Box-Jenkins approach ู„ู„ู€
5
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ู‡ูˆ ุงู„ู€ ARMA model ูƒูŠู ูŠุนู†ูŠ ุงุญู†ุง ู…ู…ูƒู† ุฃู†ู‡ ู„ูˆ ูƒุงู†
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00:00:39,570 --> 00:00:43,270
ุนู†ุฏู†ุง ุจูŠุงู†ุงุช ุชุชุนู„ู‚ ุจุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ู‚ุฑุฑู†ุง ุฃู†ู‡ ุงุญู†ุง
7
00:00:43,270 --> 00:00:46,770
ููŠ ุงู„ู†ู‡ุงูŠุฉ ู†ุนู…ู„ ุชุญู„ูŠู„ ู„ู‡ุงุŒ ุจุตุฑุงุญุฉ ุฏูˆู„ ุงู„ู†ุงุณ ุงู„ู„ูŠ
8
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ู‡ู… ุงู„ู€ Box ูˆุงู„ู€ Jenkins ุนู…ู„ูˆุง methodology ุทุฑูŠู‚ุฉ ู…ุง
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ุนุจุงุฑุฉ ุนู† ู…ุฑุงุญู„ ู…ู† ุฎู„ุงู„ู‡ุง ู†ู‚ูˆู… ุจุชุญู„ูŠู„ ุงู„ุจูŠุงู†ุงุช
10
00:00:54,170 --> 00:00:56,830
ุงู„ู…ุงู„ูŠุฉ ุฃูˆ ุนููˆุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ .. ุงู„ู€ .. ุงู„ุจูŠุงู†ุงุช ุนุจุฑ
11
00:00:56,830 --> 00:01:00,030
ุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉุŒ ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ุฃู‚ุตุฏ ูŠุนู†ูŠุŒ ุนุดุงู†
12
00:01:00,030 --> 00:01:03,770
ู…ุชุณู„ุณู„ุงุช ุฒู…ู†ูŠุฉุŒ ูู‡ุฐู‡ ุงู„ู…ุฑุงุญู„ ุงู„ุซู„ุงุซ ุงู„ู„ูŠ ุงู‚ุชุฑุญูˆู‡ุง
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00:01:04,560 --> 00:01:08,120
ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ุฃู…ุงู…ูƒู… ุงู„ุขู†ุŒ ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ุงู„ู„ูŠ ู‡ูŠ
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00:01:08,120 --> 00:01:11,860
ู…ุฑุญู„ุฉ ุงู„ู€ identification ู„ู„ู€ model ู†ุญุฏุฏ ุงู„ู„ูŠ ู‡ูˆ ู…ู†
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00:01:11,860 --> 00:01:16,660
ุฎู„ุงู„ ุงู„ุฑุณู… ุดูˆ ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ู€ model ูุทุจุนุง ุงู„ู…ุฑุญู„ุฉ
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00:01:16,660 --> 00:01:21,620
ุงู„ุฃูˆู„ู‰ ุงู„ู…ุชุนู„ู‚ุฉ ุจุงู„ู€ identification ุจุชุชู… ููŠ ุฎู„ุงู„ู‡ุงุŒ
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00:01:21,620 --> 00:01:25,700
ู‡ุง ูŠู‚ูˆู„ ุงู„ุขู†ุŒ ุงู„ู„ู‡ู… ุตู„ ุนู„ู‰ ุณูŠุฏู†ุง ู…ุญู…ุฏุŒ ุงุญู†ุง ุทุจุนุง
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00:01:25,700 --> 00:01:30,660
ุจู†ู„ุตู‚ ููŠ ุงู„ู…ุฑุญู„ุฉ ู‡ุฐู‡ ุงู„ุฃูˆู„ู‰ุŒ ุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉ ูˆ
19
00:01:30,660 --> 00:01:33,960
ุจู†ุดูˆู ู…ุซู„ุง ู‡ู„ ููŠ stationaryุŒ ู…ุง ููŠุด stationaryุŒ ููŠ
20
00:01:33,960 --> 00:01:38,940
outliersุŒ outliers ูŠุนู†ูŠ ู…ู†ู‡ุง ุชู„ุงู‚ูŠู‡ุง ู…ุด ุดุงุฐุฉ ูŠุนู†ูŠ ููŠ
21
00:01:38,940 --> 00:01:44,660
ู…ุซู„ุง trend ููŠ ุนู†ุฏูƒ seasonality ุงู„ุฃุฎุฑู‰ุŒ ู…ุงุดูŠุŸ ููŠ
22
00:01:44,660 --> 00:01:47,120
ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ู‡ูŠ ุงู„ู€ high runุŒ ุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู†ูŠุฉ
23
00:01:47,120 --> 00:01:50,200
ุจู†ุนู…ู„ ุจุนุฏ ู…ุง ู†ู‚ุฑุฑ ุงู„ู€ model ุงู„ู„ูŠ ุจุฏู†ุง ู† .. ุทุจุนุง
24
00:01:50,200 --> 00:01:53,820
ุจู†ุญู„ ู…ุดูƒู„ุฉ stationaryุŒ ู„ูˆ ู…ุด stationary ุจู†ุญู„ู‡ุงุŒ ูˆ
25
00:01:53,820 --> 00:01:57,220
ู„ู„ู€ trend ุจู†ุนู…ู„ู‡ estimationุŒ ุนููˆุง ุจู†ุนู…ู„ู‡ detrend ูˆ
26
00:01:57,220 --> 00:02:00,740
ู‡ูƒุฐุงุŒ ูˆู…ู† ุซู… ู…ู† ุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู†ูŠุฉ ุจู†ุจู„ุด ู†ุนู…ู„
27
00:02:00,740 --> 00:02:03,380
estimation ู„ู„ู€ model ูŠุนู†ูŠ ุจู†ุนู…ู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ ARMA
28
00:02:03,380 --> 00:02:06,640
model ุงู„ู„ูŠ ุงุญู†ุง ู‚ุฑุฑู†ุง ู†ุฑูˆุญ ุนู„ูŠู‡ ุณูˆุงุก moving
29
00:02:06,640 --> 00:02:09,260
average ุฃูˆ autoregressive ุฃูˆ ARMA in general
30
00:02:09,260 --> 00:02:11,860
ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃุฎูŠุฑุฉ ุงู„ู€ model ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุฎุชุงุฑู‡ ุทุจุนุง
31
00:02:11,860 --> 00:02:15,060
ู…ุง ูŠุฎุชุงุฑุด ุบุงู„ุจุง model ูˆุงุญุฏ ู†ุฎุชุงุฑ ุนุฏุฉ models ู„ูŠุดุŸ
32
00:02:15,060 --> 00:02:19,320
ู„ุฃู†ู‡ ุจู†ูƒูˆู† ุดุงูƒูŠูŠู† ู…ุง ุจูŠู† ุงุซู†ูŠู† ุซู„ุงุซุฉ ู‚ุฏ ูŠูƒูˆู† ู‡ุฐุง ู‚ุฏ
33
00:02:19,320 --> 00:02:22,350
ูŠูƒูˆู† ู‡ุฐุงุŒ ุจู†ุนู…ู„ู‡ู… .. ุจู†ุนู…ู„ู‡ู… fit ูˆุจู†ุนู…ู„ู‡ู…
34
00:02:22,350 --> 00:02:25,530
estimationุŒ ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃุฎูŠุฑุฉ ุจู†ุนู…ู„ู‡ู… diagnosesุŒ
35
00:02:25,530 --> 00:02:29,750
ุจู†ุดูŠูƒู‡ู…ุŒ ุชุดุฎูŠุตุŒ ูุจู†ุดุฎุต ู‡ู„ ุงู„ู…ูˆุฏูŠู„ุงุช ุงู„ู„ูŠ ุงุญู†ุง
36
00:02:29,750 --> 00:02:33,730
ุนู…ู„ู†ุงู„ู‡ ุงู„ู„ูŠ ู‡ูˆ fitting ูˆ estimation ูƒูˆูŠุณุฉ ู…ุด ูƒูˆูŠุณุฉ
37
00:02:33,730 --> 00:02:37,210
ูˆ ุจู†ุฎุชุงุฑ ุจุทุจุนุง ุจุงู„ุขุฎุฑ ูˆุงุญุฏ ู…ู†ู‡ู…ุŒ ู…ู† ุซู„ุงุซุฉ ุฃุฑุจุนุฉ
38
00:02:37,210 --> 00:02:40,990
model ุงุฎุชุฑู†ุงู‡ู…ุŒ ู…ุงุดูŠุŸ ุจู†ุฎุชุงุฑ ุงู„ู€ criteria ู…ุนูŠู†ุฉ ููŠ
39
00:02:40,990 --> 00:02:45,410
ุงุณู… ุงู„ู€ AIC ูˆุงู„ู€ BIC ู…ุงุดูŠุŸ ูุจุชุญุฏุฏ ู„ู…ูŠู† ุฃูุถู„ model
40
00:02:45,410 --> 00:02:48,390
ู…ู…ูƒู† ุฃู† ุฃู†ุง ุงุฎุชุงุฑู‡ ุทุจุนุง ู‡ุฐุง ุงู„ู€ model ูŠุนู†ูŠ
41
00:02:48,390 --> 00:02:52,490
ุจุงู„ู…ู†ุงุณุจุฉ ู‡ูˆ ู„ูŠุณ ุขูŠุฉ ููŠ ุงู„ู‚ุฑุขู† ูŠุนู†ูŠ ู…ุด ู…ู‚ุฏุณุŒ ูˆู„ุฐู„ูƒ
42
00:02:52,490 --> 00:02:55,370
ุงู„ู€ model ุงู„ู„ูŠ ุฃู†ุช ุจุชุฌูŠุจู‡ ูƒู„ ุงู„ู„ูŠ ุจุชู‚ูˆู„ ุนู†ู‡ ุฃู† ู‡ุฐุง
43
00:02:55,370 --> 00:02:58,810
ุงู„ู€ model ูŠุนุชุจุฑ ุฌูŠุฏ ู„ู…ูŠู†ุŸ ู„ู„ุชู‚ุฏูŠุฑุŒ ู„ุฃู†ู‡ ููŠ ุงู„ู†ู‡ุงูŠุฉ
44
00:02:58,810 --> 00:03:02,650
ู…ุญุตู„ุฉ ุงู„ู†ู‡ุงุฆูŠุฉ ุงู„ู„ูŠ ุจุฏูŠ ุฅูŠุงู‡ุง ู„ู„ุชู‚ุฏูŠุฑุŒ ูู‚ุฏ ูŠู‚ุฏุฑ
45
00:03:02,650 --> 00:03:06,230
ูŠุญุชุงุฌ ุฅู†ุณุงู† ุขุฎุฑ ูˆูŠู‚ูˆู„ ุงู„ู€ model ุงู„ู„ูŠ ุฃู†ุช ุฌุจุชูŠู‡
46
00:03:06,230 --> 00:03:09,790
ุจุตุฑุงุญุฉ ุฃู†ุง ุนู†ุฏูŠ model ุชุงู†ูŠ ุฃุญุณู† ู…ู†ู‡ุŒ ูุจู‚ูˆู„ู‡ ู…ุงุดูŠ
47
00:03:09,790 --> 00:03:12,770
ูˆุฃุฑูŠู†ูŠ ุงู„ู€ model ุงู„ุซุงู†ูŠ ุงู„ู„ูŠ ุนู†ุฏูƒุŒ ูุฃู‡ ูˆุงู„ู„ู‡ ู…ุธุจูˆุท
48
00:03:12,770 --> 00:03:15,090
ูƒู„ุงู…ูƒุŒ ุงู„ู€ model ุชุจุนูƒ ุฃุญุณู† ู…ู† ุงู„ู€ model ุงู„ู„ูŠ ุฃู†ุง
49
00:03:15,090 --> 00:03:19,410
ุฌุจุชู‡ุŒ ููŠู„ุง improved ูŠุนู†ูŠุŒ ุฃู†ุช ุนู…ู„ุช ุฃุญุณู†ุŒ ู…ุงุดูŠุŒ
50
00:03:19,410 --> 00:03:22,430
ูุฎู„ูŠู†ูŠ ุฃุฑูˆุญ ู…ุน ุงู„ู€ model ุชุจุนูƒุŒ ู…ุด ุงู„ู…ูˆุฏูŠู„ ุงู„ู„ูŠ ุฃู†ุง
51
00:03:22,430 --> 00:03:25,770
ุฌุจุชู‡ุŒ ูˆุญุชู‰ ุงู„ู„ูŠ ุชูŠุฌูŠ ูŠุญุชุงุฌ ุนู„ูŠู‘ ูˆุนู„ูŠู‘ ูˆูŠุนุทูŠู†ุง
52
00:03:25,770 --> 00:03:29,730
model ุฌุฏูŠุฏุŒ ุฅุฐุง ุงุญู†ุง ู‡ู†ุง ู…ุด ู…ู‚ุฏุณ ุงู„ู€ model ุงู„ู„ูŠ ุงุญู†ุง
53
00:03:29,730 --> 00:03:33,470
ุจู†ุฌูŠุจู‡ุŒ ูƒู„ ู…ุง ููŠ ุงู„ุฃู…ุฑ ุจู†ุฌูŠุจ modelุŒ ูƒู„ ู…ุง ููŠ ุงู„ุฃู…ุฑ
54
00:03:33,470 --> 00:03:37,790
ู†ุซุจุช ุฃู† ู‡ุฐุง ุงู„ู€ model ุฌูŠุฏุŒ ู‚ุฏุงุด ู†ู‚ุฏุฑ ู†ุญุณู‘ู†ุŒ ุขู‡ ุจูƒูˆู†
55
00:03:37,790 --> 00:03:42,720
ุฃูุถู„ุŒ ุฃูู‡ู…ุŸ ูˆู‡ุฐุง ู‡ูˆ ุงู„ุฅุญุตุงุฆูŠ ุจุดูƒู„ ุนุงู… ุจุงู„ู…ู†ุงุณุจุฉ
56
00:03:42,720 --> 00:03:45,280
ุทุจุนุง ุงู„ู€ algorithm ู‡ุฐุง ู…ุฑุณูˆู… ููŠ ุงู„ู€ flowchart ุงู„ู„ูŠ
57
00:03:45,280 --> 00:03:49,500
ุฃู…ุงู…ูƒู… ูƒูŠู ุงู„ู„ูŠ ู‡ู… ุงู„ู€ Jenkins ูˆุงู„ู€ Box ู…ุน ุจุนุถ ุงู‚ุชุฑุญูˆุง
58
00:03:49,500 --> 00:03:53,780
ุฃูˆู„ ุฎุทูˆุฉ ู‚ู„ู†ุง ุฃู†ู‡ ู†ุฑุณู…ูŠู† ุงู„ุณู„ุณู„ุฉ ูˆุงุถุญุฉ ุฃุนุชู‚ุฏ
59
00:03:53,780 --> 00:03:57,810
ุฃู…ุงู…ูƒู…ุŒ ู†ุฑุณู… ุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉุŒ ุจุนุฏ ู…ุง ู†ุฑุณู… ุงู„ุณู„ุณู„ุฉ
60
00:03:57,810 --> 00:04:01,510
ุงู„ุฒู…ู†ูŠุฉ ุจู†ุชุทู„ุน ุนู„ูŠู‡ุง ุทุจุนุง ุชู‚ุฏูŠุฑ ุงู„ุดุฎุต ู„ุฅู†ู‡ ุจู†ุดูˆู
61
00:04:01,510 --> 00:04:05,070
ู‡ู„ ู‡ูŠ stationary ูˆู„ุง ู…ุด stationaryุŸ ููŠ ุฎูŠุงุฑูŠู† ูŠุง
62
00:04:05,070 --> 00:04:09,010
ุขู‡ ูŠุง ู„ุฃุŒ ุฅุฐุง yes ุฅุฐุง stationary ุจู†ุฑูˆุญ ุนู„ู‰ ู…ุฑุญู„ุฉ ุงู„ู€
63
00:04:09,010 --> 00:04:13,090
estimation ู„ู…ูŠู†ุŸ ู„ู„ู…ุฏู† ุฃูˆ ู„ู„ุฌุจู„ ุนููˆุง ุจู†ุนู…ู„ ุนููˆุง
64
00:04:13,090 --> 00:04:17,310
ู†ุฌูŠุจ ุงู„ู€ estimation ู†ุชุฃุซุฑ ุขู‡ ุจู†ุฑูˆุญ ูˆุจู†ุญุฏุฏ ุขู‡ ุงู„ู„ูŠ
65
00:04:17,310 --> 00:04:21,870
ู‡ูˆ ูŠุง ุชุฑู‰ ู…ู† ุฎู„ุงู„ ุงู„ู€ ACF ูˆุงู„ู€ PACF ู…ู† ุฎู„ุงู„ ุงู„ู€ auto
66
00:04:21,870 --> 00:04:25,530
correlation function ูˆุงู„ู€ partial auto correlation
67
00:04:25,530 --> 00:04:29,710
function ุจู†ุญุฏุฏ ุงู„ู„ูŠ ู‡ู… ู…ูŠู† ุงู„ู€ orders ุชุจุนูˆู† ุงู„ู€ ARMA
68
00:04:29,710 --> 00:04:32,950
ุทุจุนุง ุจุนุฏ ู…ุง ู†ุชุฃูƒุฏ ุฅู†ู‡ุง stationaryุŒ ูุฅุฐุง stationary
69
00:04:32,950 --> 00:04:37,370
ุจู†ุฑูˆุญ ุนู„ู‰ ุฅู†ู‡ ุชุญุฏูŠุฏ ุงู„ู€ orders ุงู„ู€ P ูˆุงู„ู€ Q ู‡ุฏูˆู„
70
00:04:37,370 --> 00:04:42,690
ุทุจุนุง ู„ูˆ ู…ุด stationary ู„ูˆ ู…ุด stationary ูุจู†ุนู…ู„ ุฅูŠู‡ุŸ
71
00:04:42,690 --> 00:04:46,830
ู†ุฎู„ูŠู‡ุง stationaryุŒ ูƒูŠู ู†ุฎู„ูŠู‡ุง stationaryุŸ ุบุงู„ุจุง ุฃู†
72
00:04:46,830 --> 00:04:50,850
ุนุฏู… ุงู„ู€ stationarity ุจูŠูƒูˆู† ู…ู† ูˆูŠู† ุฌุงูŠุŸ ู…ู† ุฅู†ู‡ ุจุฏู‡ุง
73
00:04:50,850 --> 00:04:53,950
differencingุŒ ูˆุฃุญูŠุงู†ุง ุงู„ู€ log ุฃู†ุช ุจุชุนุฑูู‡ ููŠ
74
00:04:53,950 --> 00:04:57,090
ุงู„ุฑูŠุงุถูŠุงุช ุงู„ู€ exponential functionุŒ ู…ุด exponential
75
00:04:57,090 --> 00:05:01,750
.. ุงู„ู€ exponential ู…ุนูƒูˆุณู‡ ุงู„ู€ log ู…ุด ุจูŠุฎู„ูŠู‡ ุงู„ู„ูŠ ู‡ูˆ
76
00:05:01,750 --> 00:05:05,990
constant ุจุทุฑูŠู‚ุฉ ุฃูˆ ุจุฃุฎุฑู‰ุŒ ู…ุด ู…ุนูƒูˆุณุงุช ู„ุจุนุงุฏู‡ุŒ ูุฃุฎุฏูƒ ู„ู„ู€
77
00:05:05,990 --> 00:05:09,630
log ุนู„ู‰ ุงูุชุฑุงุถ ุฃู† ุงู„ู‚ูŠู… ู…ูˆุฌุจุฉ ุจุงู„ู…ู†ุงุณุจุฉ ูŠุนู†ูŠ ู…ุด
78
00:05:09,630 --> 00:05:12,830
ุชุฑูˆุญ ุงู„ู„ูŠ ุชู‚ูˆู„ูŠ ู†ุงุฎุฏ ู„ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ logุŒ ุฏุฑุฌุงุช
79
00:05:12,830 --> 00:05:17,760
ุงู„ุญุฑุงุฑุฉ ู‚ุฏ ุชูƒูˆู† ุจุงู„ุณุงู„ุจุŒ ู…ูู‡ูˆู…ุŸ ูู„ู…ุง ุชูƒูˆู† ู‚ูŠู… ุงู„ู„ูŠ
80
00:05:17,760 --> 00:05:22,160
ุนู†ุฏูƒ ุงู„ุขู† ุงู„ู€ log ุจุธุจุทู„ู‡ุง ูˆุจูŠุฎู„ูŠู‡ุง ุงู„ุฑุณู… ุงู„ุฃูˆู„ ุฅู†
81
00:05:22,160 --> 00:05:25,080
ู‡ูŠ ูƒุงู†ุช exponential ูุงู„ู€ log ุจูŠุฎู„ูŠู‡ุง ู…ุงู„ู‡ุง
82
00:05:25,080 --> 00:05:29,220
stationaryุŒ ุฃุญูŠุงู†ุง ู…ูู‡ูˆู…ุŒ ูˆุฃุญูŠุงู†ุง ุงู„ู€ differencing
83
00:05:29,220 --> 00:05:33,720
ุทุจุนุง ุจุงู„ู…ู†ุงุณุจุฉ ุงู„ุฑุณู… ู„ุญุงู„ู‡ ู…ุด ูƒูุงูŠุฉ ุฅู†ูƒ ุชู‚ุฑุฑ
84
00:05:33,720 --> 00:05:36,760
stationary ูˆู„ุง ู…ุด stationary ุงุญู†ุง ู‚ู„ู†ุง ู‚ุจู„ ู‡ูŠูƒ ููŠ
85
00:05:36,760 --> 00:05:40,260
ุนู†ุฏู†ุง Dick ูˆ Fuller test ูˆุงู„ุขุฎุฑูŠู† ูˆููŠ tests ุฃุฎุฑู‰
86
00:05:40,260 --> 00:05:43,280
ุบูŠุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Dick ูˆุงู„ู€ Fuller ุจุณ ููŠ ู…ุงุฏุชู†ุง ุดุฑุญู†ุง
87
00:05:43,280 --> 00:05:47,520
Dick ู…ูŠู† ูˆFuller ู…ุธุจูˆุท ูŠุง ุจู†ุงุชุŸ ูˆู„ูƒู† ุบุงู„ุจุง ููŠ ู†ุงุณ
88
00:05:47,520 --> 00:05:51,700
ุจูŠู‚ูˆู„ ู„ูƒ ุฃู†ู‡ ุฎู„ุงุต ุงู„ุฑุณู… ุฃู†ุง ุจุนุฑู ู…ู†ู‡ุŒ ุงู„ู…ู‡ู… ุจู†ุนู…ู„ ุงู„ู€
89
00:05:51,700 --> 00:05:54,240
differencing ู„ูˆ ู…ุด stationary ุจูŠุฎู„ูŠู‡ุง stationary
90
00:05:54,240 --> 00:05:57,800
ุจุนุฏูŠู† ุจู†ุฑุฌุน ุจู†ุฑุณู… ูƒู…ุงู† ู…ุฑุฉ ุจู†ุฑุณู… ู…ูŠู†ุŸ ุจู†ุฑุณู… ุงู„ู€
91
00:05:57,800 --> 00:06:03,160
differencing ุฃูˆ ุงู„ู€ log ุงู„ู…ูู‡ูˆู… ู‡ู†ุงูƒุŒ ูˆุจุนุฏ ู…ุง ุฑุณู…ู†ุง
92
00:06:03,160 --> 00:06:06,600
ูƒู…ุงู† ู…ุฑุฉ differencing ุจู†ุดูˆู ู†ูุณู†ุง ุจู†ุณุฃู„ ุงู„ุณุคุงู„ ู‡ู„
93
00:06:06,600 --> 00:06:10,200
ูŠุง ุชุฑู‰ stationary ูˆู„ุง ู…ุด stationaryุŸ ุขู‡ ุฅุฐุง
94
00:06:10,200 --> 00:06:12,400
stationary ุจู†ุฑูˆุญ ู„ู‡ุฐู‡ ุงู„ุฎุทูˆุฉุŒ ู„ูˆ ู…ุด stationary
95
00:06:12,400 --> 00:06:16,400
ุจู†ุนู…ู„ ูƒู…ุงู† ู…ุฑุฉ differencing ุงู„ู…ู‡ู… ุจุงุฎุชุตุงุฑ ุฃูˆ ุจู†ุงุฎุฏ
96
00:06:16,400 --> 00:06:20,200
ุงู„ู„ุบุฉ ุจุงุฎุชุตุงุฑ ุจุฏู†ุง ู†ุฎู„ูŠู‡ุง ู…ูŠู† stationary ูƒุฎุทูˆุฉ ุฃูˆู„ู‰
97
00:06:20,200 --> 00:06:24,200
ูŠุนู†ูŠ ู‚ุจู„ ู…ุง ุฃุฑูˆุญ ุงู„ู€ ARMA model ู„ุงุฒู… ุฃุฎู„ ุงู„ู€ series
98
00:06:24,200 --> 00:06:27,920
ู…ุงู„ู‡ุง stationary ู…ู† ุงู„ุฑุณู… ูˆู…ู† ุงุฎุชุจุงุฑุงุช ุชุจุนูŠ ุงู„ู„ูŠ
99
00:06:27,920 --> 00:06:32,640
ู‡ูŠ Dick ูˆ FullerุŒ ู…ุงุดูŠุŸ ุทุจุนุง ููŠ ุบูŠุฑ Dick ูˆ Fuller ุงู„ู„ูŠ ุจุนุฏ ู…ุง
100
00:06:32,640 --> 00:06:36,240
ุนู…ู„ู†ุง identification ู„ู…ูŠู†ุŸ ู„ู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ุทุจุนุง ููŠ
101
00:06:36,240 --> 00:06:40,680
ุงู„ู…ุฑุงุญู„ ุงู„ุซู„ุงุซ ุฃู†ุง ู…ุงุฒู„ุช ููŠ ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ููŠ
102
00:06:40,680 --> 00:06:46,120
ุงู„ู…ุฑุญู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ุŸ ุงู„ู€ identification ุชุญุฏูŠุฏุŒ ูุจู†ุญุฏุฏ
103
00:06:46,120 --> 00:06:50,100
ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ orders P ูˆ QุŒ ุงุญู†ุง ุงู„ู„ูŠ ุจุนุฏ ู…ุง ุญุฏุฏู†ุง
104
00:06:50,100 --> 00:06:52,760
ู‚ุฑุฑุชูˆุง ุชุฑูˆุญูˆุง ู…ุซู„ุง ูŠุง ุจู†ุงุช ู‚ุฑุฑุชูˆุง ุชุฑูˆุญูˆุง ู…ุน ุงู„ู€
105
00:06:52,760 --> 00:06:57,300
auto-regressive ู…ุน ุงู„ู€ AR ุดูˆ ุจุชุนู…ู„ูˆุง ู„ู‡ู… estimation
106
00:06:57,300 --> 00:07:01,720
ู„ู„ู€ model ุงุญู†ุง ุจู†ุนู…ู„ูˆุง estimation ู„ู„ู€ model ุทุจุนุง
107
00:07:01,720 --> 00:07:04,840
ุจุงู„ู…ู†ุงุณุจุฉ ุงู„ู€ auto-regressive ุงุญู†ุง ุฃุฎุฐู†ุง ูƒูŠู ู†ุนู…ู„ ู„ู‡
108
00:07:04,840 --> 00:07:08,280
estimation ู…ู† ุฎู„ุงู„ ู…ูŠู†ุŸ ุงู„ู€ Yule-Walker algorithmุŒ ู…ุตุจูˆู†
109
00:07:08,280 --> 00:07:10,920
ุงู„ู€ Yule-Walker algorithm ุจูŠุนู…ู„ูˆุง estimation ู„ู„ู€ auto
110
00:07:10,920 --> 00:07:14,120
-regressive ูู‚ุทุŒ ูˆู„ูƒู† in general .. in general ุจุดูƒู„
111
00:07:14,120 --> 00:07:17,620
ุนุงู… ููŠ ู†ุงุณ ุจูŠุณุชุฎุฏู… ุงู„ู€ maximum likelihood ููŠ ุงู„ู€ ..
112
00:07:17,620 --> 00:07:20,940
ุขู‡ ูˆููŠ ู†ุงุณ ุจูŠุณุชุฎุฏู… ูƒู„ู…ุฉ filters ูˆุงู„ุขุฎุฑูŠู†ุŒ ููŠ ุทุฑู‚
113
00:07:20,940 --> 00:07:24,020
ุฃุฎุฑู‰ุŒ ุทุจุนุง ุงู„ู€ maximum likelihood estimation
114
00:07:24,020 --> 00:07:28,180
ุฃุฎุฐุชูˆู‡ุง ููŠ ุงู„ุฅุญุตุงุฆูŠุŒ ุตุญุŸ ุจุณ ุชุดุชุฑุทูŠ ุฅู†ูƒ ุจุชุนุฑู
115
00:07:28,180 --> 00:07:32,060
ุงู„ุชูˆุฒูŠุน ุงู„ุงุญุชู…ุงู„ูŠ ุงู„ู€ distribution ูŠุนู†ูŠ ุจุฏูˆู† ุงู„ู€
116
00:07:32,060 --> 00:07:35,700
distribution ู…ุง ู†ุนุฑูู‡ ุดูˆ ุงู„ู‚ูˆุฉ ุจุงู„ุฃุณุงุณ ู…ุง ู†ุณุชุทูŠุน
117
00:07:35,700 --> 00:07:38,660
ุฃู†ู‡ ู†ุฌูŠุจ ู…ู†ู‡ ุงู„ู€ MLE ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ maximum likelihood
118
00:07:38,660 --> 00:07:41,720
estimationุŒ ู‡ุชุนุชู‚ุฏ ุงู„ู„ูŠ ุฏุฑุณูƒูˆุง ุงู„ู…ุงุฏุฉ ุฃูƒูŠุฏ ูƒุงู†
119
00:07:41,720 --> 00:07:46,180
ูŠู‚ูˆู„ ู„ูƒูˆุง MLE ุตุญุŸ ุขู‡ ุงุฎุชุตุงุฑุง MLE maximum likelihood
120
00:07:46,180 --> 00:07:50,960
estimation ุชู…ุงู…ุŸ ุงุญู†ุง ุฅู† ุดุงุก ุงู„ู„ู‡ ูŠุนู†ูŠ ู‡ู†ุฏุฑุณู‡ุง ู‡ูŠ
121
00:07:50,960 --> 00:07:54,440
ุทุจุนุง ู…ุง ุฃุนุฑู ุฅุฐุง ุถุงู„ ู…ุนูŠ ูˆู‚ุช ุฅู†ู‡ ู†ุฏุฑุณ ุบูŠุฑู‡ุง ูˆู„ุง ู„ุง
122
00:07:54,440 --> 00:07:57,240
ุจุณ ู…ุจุฏุฆูŠุง ุงู„ู€ maximum likelihood estimation ู‡ู†ุงุฎุฏู‡ุง
123
00:07:57,240 --> 00:08:00,620
ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ ุงู„ู…ู‡ู… ุจู†ุนู…ู„ estimation ู„ู„ู€ model ุจุนุฏ ู…ุง
124
00:08:00,620 --> 00:08:03,920
ู†ุนู…ู„ estimation ู„ู„ู€ model ุฅู† ุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู†ูŠุฉ ุฎู„ุตู†ุง
125
00:08:03,920 --> 00:08:08,690
ู…ู†ู‡ุงุŒ ู…ุฑุญู„ุชูŠู† ุฎู„ุตูˆุง ู…ู† ุซู„ุงุซ ู…ุฑุงุญู„ ููŠ ุงู„ู€ Box-Jenkins
126
00:08:08,690 --> 00:08:13,990
Jenkins ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃุฎูŠุฑุฉ ุชู…ุช ู…ู† ุงู„ diagnosis ุฃู†ู‡
127
00:08:13,990 --> 00:08:18,910
ู†ุนู…ู„ pair for ุฅุฌุฑุงุก ู„ู…ูŠู† ู„ู„ diagnostic checks ู†ุดูŠูƒ
128
00:08:18,910 --> 00:08:22,630
.. ู†ุดูŠูƒ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู† ุงู„ model ุงู„ู„ูŠ ุงุญู†ุง ุนู…ู„ู†ุงู‡ ุงู„
129
00:08:22,630 --> 00:08:25,790
estimation ูˆุงู„ู„ู‡ ุฅุฐุง ูƒุงู† ุงู„ model adequate fit
130
00:08:25,790 --> 00:08:30,670
ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูˆ adequate ู…ู†ุงุณุจ ู…ู„ุงุฆู… ู…ู†ุงุณุจ ู…ู†ูŠุญ ุฌูŠุฏ
131
00:08:30,670 --> 00:08:33,590
ุฅุฐุง ูƒุงู† ุงู„ model adequate ู…ุชู‰ ุจู†ูƒูˆู† ุงู„ model
132
00:08:33,590 --> 00:08:37,990
adequate ูŠุง ุจู†ุงุช ุฅุฐุง ุฅูŠุด ุญู‚ู‚ ุงู„ุดุฑูˆุท ุฃูˆ ุงู„ูุฑุถูŠุงุช
133
00:08:37,990 --> 00:08:40,250
ุชุจุนุงุช ุงู„ assumptions ููˆุงุญุฏุฉ ู…ู† ุงู„ assumption ุฃู†
134
00:08:40,250 --> 00:08:43,270
ูŠูƒูˆู† stationary ูˆุญู†ุด ุนู„ู…ุงุก ู†ุณุฃู„ ุนู† ู…ูˆุถูˆุน ุงู„
135
00:08:43,270 --> 00:08:49,270
diagnosis ุฃู‡ assumptions ูุฑุถูŠุงุช ูุฅุฐุง ุญู‚ู‚ูˆุง
136
00:08:49,270 --> 00:08:52,410
ุงู„ูุฑุถูŠุงุช ูˆู…ุง ููŠุด violation ู„ู„ูุฑุถูŠุงุช ู‡ู†ุง ู…ุง ููŠุด
137
00:08:52,410 --> 00:08:56,530
ุงู†ุชู‡ุงูƒ ู„ู„ูุฑุถูŠุงุช ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุฎู„ุงุต ู†ุณุชุฎุฏู… ุงู„
138
00:08:56,530 --> 00:08:59,550
model ู‡ุฐุง ุจู†ูƒุชุจู‡ write down the final model
139
00:08:59,550 --> 00:09:05,060
ูˆู†ุณุชุฎุฏู…ู‡ ู„ู…ูŠู†ุŸ ุทุจุนู‹ุง ู„ู„ุชู‘ู†ุจุค ูŠุนู†ูŠ ุงุญู†ุง ู…ุง ุจุฏุฃู†ุง ู†ุฌูŠุจ
140
00:09:05,060 --> 00:09:08,400
ุนุดุงู† ุฃุทู„ุน ููŠ ู…ู†ุธุฑ ูˆุฃู†ุง ู‡ุฐุง ุงู„ model ุงู„ู‡ุฏู ุงู„ุฃุณุงุณูŠ
141
00:09:08,400 --> 00:09:13,440
ู…ู†ู‡ ูˆูŠู† ุฃู†ูŠ ุฃู†ุง ุฃุนู…ู„ forecasting ู…ูู‡ูˆู…ุŸ ูŠุนู†ูŠ ุจุฑูˆุญ
142
00:09:13,440 --> 00:09:17,500
ุจูƒุชุจ ู‡ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ููŠ ุงู„ู†ู‡ุงูŠุฉ ุฃุณุชุฎุฏู…ู‡ุง ููŠ ู…ูŠู†ุŸ ููŠ
143
00:09:17,500 --> 00:09:21,920
ุชู†ุจุคุงุชูŠ ุงู„ู…ุณุชู‚ุจู„ูŠุฉ ุนู„ู…ุŸ ู„ูƒู† ูŠุง ุจู†ุงุช ู„ูˆ ุงู„ model ู…ุด
144
00:09:21,920 --> 00:09:25,980
adequate ุงู„ model ู…ุด ู…ู†ุงุณุจ ุดูˆ ุจุฏูŠ ุฃุณูˆูŠู‡ุŸ ุงู„ model
145
00:09:25,980 --> 00:09:30,810
ุงู„ู„ูŠ ุฃู†ุง ุนู…ู„ู‡ .. ุงู‡ ูุจุฑุฌุน ุจุนู…ู„ model ุขุฎุฑ ุชู…ุงู…ุŒ ูู„ูˆ
146
00:09:30,810 --> 00:09:34,590
ุงู„ model ู…ุด adequate ูŠุนู†ูŠ ู„ูŠุณ ู…ู†ุงุณุจุง ูุจู†ุฑุฌุน ูˆ
147
00:09:34,590 --> 00:09:38,350
ุจู†ุนู…ู„ ูƒู…ุงู† ู…ุฑุฉ ู„ู…ูŠู†ุŸ ู„ู„ุฎุทูˆุงุช ุงู„ู„ูŠ ุนู…ู„ู†ุงู‡ุง
148
00:09:38,350 --> 00:09:41,290
ุงู„ุณุงุจู‚ุฉ ูŠุนู†ูŠ ุจู†ุฌูŠุจ model ุซุงู†ูŠ ูˆุจุฑูˆุญ ู†ุนู…ู„ู‡
149
00:09:41,290 --> 00:09:45,370
estimation ูˆุจู†ุนู…ู„ู‡ diagnosis ูˆุจุนุฏูŠู† ุจู†ุดูˆู ู‡ู„ ู‡ูˆ
150
00:09:45,370 --> 00:09:49,550
ู…ู†ุงุณุจ ู…ุด ู…ู†ุงุณุจ ูˆุจู†ุนู…ู„ ุฎุทูˆุงุช ุจุงู„ุฎู„ุงุตุฉ ููŠ ุงู„ู…ุญุตู„ุฉ
151
00:09:49,550 --> 00:09:52,690
ุงู„ู†ู‡ุงุฆูŠุฉ ุจุทู„ุน ุงู„ model ู…ุงู„ู‡ุŸ ุงู„ model ู‡ุฐุง ู‡ูˆ ุงู„ู„ูŠ
152
00:09:52,690 --> 00:09:58,230
ุฃู†ุง ุฅูŠุด ุจุชุณูˆูŠู‡ุŸ ู‡ุณุชุฎุฏู…ู‡ ู„ู„ุชู‘ู†ุจุคุงุช ุชู…ุงู… ู‡ูŠุŸ ุทูŠุจ ู‡ุฐุง
153
00:09:58,230 --> 00:10:00,810
ู‡ูˆ ุงู„ algorithm ุชุจุน ู…ูŠู†ุŸ ุงู„ box and Jenkins
154
00:10:00,810 --> 00:10:04,090
ูˆุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุจุฏุฃู†ุง ู†ุญุฏูŠุซ ุนู†ู‡ ูˆู„ูƒู† ุงู„ุขู†
155
00:10:04,090 --> 00:10:07,070
ุจุงู„ุชูุงุตูŠู„ ุฃูƒุซุฑุŒ ู‡ู„ุฃ ุงู„ุขู† ูŠุง ุจู†ุงุช ุจุฏู†ุง ู†ุจู„ุด ููŠ
156
00:10:07,070 --> 00:10:10,030
ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ู…ุญุงุถุฑุฉ ุงู„ูŠูˆู…ุŒ ู‡ู„ุฃ ู‡ูŠ ู…ุฑุญู„ุฉ ุงู„
157
00:10:10,030 --> 00:10:13,080
identification ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ุงู„ู„ูŠ ู‡ูŠ model
158
00:10:13,080 --> 00:10:16,420
identification ู†ุญุฏุฏ ุงู„ู„ูŠ ู‡ูˆ ูŠุง ุชุฑู‰ ุงู„ model ุงู„ู„ูŠ
159
00:10:16,420 --> 00:10:21,800
ุงุญู†ุง ุจุฏู†ุง ู†ุฑูˆุญ ู…ุนุงู‡ ูƒูŠู ู‡ูˆุŸ ู…ูŠู† ู‡ูˆุŸ ู‡ู„ ู‡ูˆ ARIMAุŸ ู‡ู„
160
00:10:21,800 --> 00:10:24,740
ู‡ูˆ auto-regressive ู„ุญุงู„ู‡ุŸ ู‡ู„ ู‡ูˆ moving averageุŸ
161
00:10:24,740 --> 00:10:27,040
ูˆุฅุฐุง moving average ุฌุฏู‘ูŠุด ุงู„ orderุŒ moving average
162
00:10:27,040 --> 00:10:30,120
ูˆุงุญุฏุŒ moving average ุงุซู†ูŠู†ุŒ moving average ุซู„ุงุซุฉ
163
00:10:30,120 --> 00:10:35,500
and so on ุทุจุนู‹ุง ุงุชูู‚ู†ุง ุฃู†ู‘ู‡ ุงู„ุฎุทูˆุงุช ุงู„ู„ูŠ ุจุฏู†ุง ู†ุนู…ู„ู‡ุง
164
00:10:35,500 --> 00:10:38,380
ู‡ุงุฏูŠ ุฃูˆู„ ุฎุทูˆุฉ ุนู„ู‰ ุงู„ุฅุทู„ุงู‚ ุงู„ุฃูˆู„ู‰ ู‡ูŠ ุฎุทูˆุฉ ุงู„ุฑุณู…ุŒ
165
00:10:38,380 --> 00:10:42,810
ู‡ูŠ ุงู„ุฑุณู… ุฃุตู„ุงู‹ ู…ุงุดูŠุŸ ูˆุงู„ุฑุณู… ู…ู† ุฎู„ุงู„ู‡ ุจู†ุญุฏุฏ ู…ูŠู† ุงู„ู„ูŠ
166
00:10:42,810 --> 00:10:45,870
ู‡ูŠ ุงู„ stationary ูˆู…ุด ุงู„ stationary ูˆุงู„ู„ูŠ ู‡ูˆ ุทุจุนู‹ุง
167
00:10:45,870 --> 00:10:48,310
ุงู„ stationary ูˆุงุญุฏุฉ ู…ู† ุงู„ู„ูŠ ู‡ูˆ ุนุฏู… ุงู„ stationary ูˆ
168
00:10:48,310 --> 00:10:50,990
ูˆุฌูˆุฏ ุงู„ stationary ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุฃู†ู‘ู‡ ููŠ ูˆุฌูˆุฏ ุงู„
169
00:10:50,990 --> 00:10:54,010
seasonality ูŠุนู†ูŠ ูˆุฌูˆุฏ ุงู„ seasonality ูŠุนู†ูŠ ุนุฏู… ุงู„
170
00:10:54,010 --> 00:10:58,670
stationary ุตุญุŸ ูˆู„ุฐู„ูƒ ุงู„ุขู† ุฃูˆู„ ุจุฏู†ุง ู†ุดูˆู ุฃู†ู‘ู‡ ู‡ู„ ูŠุง
171
00:10:58,670 --> 00:11:02,050
ุทุฑู‚ ู†ุนู…ู„ detecting ู…ู† ุฃุฒุงู‡ู… ุฃู†ุชู… ุดุงูŠููŠู† ุฃุฑุจุนุฉ ุฃู†ุง
172
00:11:02,050 --> 00:11:06,430
ู…ุฌุฒู‘ุฆู‡ู… ู‡ู†ุง OkayุŸ ุจุฏู†ุง ู†ุนู…ู„ detecting .. detecting
173
00:11:06,430 --> 00:11:10,670
ูŠุนู†ูŠ ุฅูŠู‡ุŸ ุงุณุชูƒุดุงู ู„ู„ seasonality ุฃูˆ ู„ู„
174
00:11:10,670 --> 00:11:13,670
stationarity .. ุนููˆุง ู…ุด ุฃูˆ .. ูˆ ู„ู„ stationarity
175
00:11:13,670 --> 00:11:16,010
ูุจุฏู†ุง ู†ุนู…ู„ detecting .. ู†ุดูˆู ูŠุง ุทูˆู„ุฉ ููŠ
176
00:11:16,010 --> 00:11:20,130
stationarity ุฃูˆ ููŠ ุงู„ data ูˆู„ุง ู…ุง ููŠุด .. ููŠ
177
00:11:20,130 --> 00:11:24,330
seasonality ูˆู„ุง ู…ุง ููŠุด .. ุนู„ู…ุŸ ุทุจุนู‹ุง ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡
178
00:11:24,330 --> 00:11:28,370
ุจู†ุนู…ู„ู‡ู… ู…ู† ุฎู„ุงู„ ู…ูŠู†ุŸ ุงู„ plot ู†ุฑุณู… .. examine the
179
00:11:28,370 --> 00:11:31,490
plot .. ู†ุนู…ู„ plot of the series ูˆุฃูŠุถู‹ุง ุจู„ุนุจ ุฏูˆุฑ
180
00:11:31,490 --> 00:11:36,170
ูƒุจูŠุฑ ู…ู‡ู… ุงู„ู„ูŠ ู‡ูˆ ุฑุณู…ุฉ ู…ูŠู†ุŸ ุงู„ ACF ูˆุงู„ partial ACF
181
00:11:36,170 --> 00:11:41,290
ุทุจุนู‹ุง ูŠุง ุจู†ุงุช ู„ู…ุง ุชุฑุณู…ูˆุง ุงู„ ACF ุตุฑุงุญุฉ ุงู„ ACF ุณุชุฌุฏูˆุง
182
00:11:41,290 --> 00:11:44,370
ู„ูˆ ููŠู‡ ุงู„ุจูŠุงู†ุงุช seasonality ู…ุซู„ู‹ุง ู†ูุชุฑุถ seasonality
183
00:11:44,370 --> 00:11:48,620
ุงู„ period ุชุจุนุชู‡ุง ุฃุฑุจุนุฉ ูŠุนู†ูŠ ูƒู„ ุฃุฑุจุนุฉ ูุตูˆู„ ูุตู„ ุงู„ุฑุจูŠุน
184
00:11:48,620 --> 00:11:53,520
ุฎุฑูŠู ุตูŠู ุงู„ู…ู‡ู… ุฃุฑุจุนุฉ ูุตูˆู„ ูู„ูˆ ุฃู†ุช ุฑุณู…ุช ุงู„ ACF
185
00:11:53,520 --> 00:11:57,660
ุนุงุฑููŠู† ุดูˆ ุจุชุชูˆู‚ุน ุฑุณู…ุฉ ุงู„ ACF ุฃู†ู‘ู‡ ุนู†ุฏ ุงู„ู„ูŠ ู‡ูˆ ู…ุซู„ู‹ุง
186
00:11:57,660 --> 00:12:03,880
ุงู„ุฑุจูŠุน ุงู„ู…ุจูŠุนุงุช ุนุงู„ูŠุฉ ู…ูู‡ูˆู…ุŸ ุฑุณู…ุฉ ุงู„ ACF ุงู„ุฎุทูŠู†
187
00:12:03,880 --> 00:12:07,460
ุงู„ุฒุฑู‚ ุงู„ู„ูŠ ู‡ู… ุงู„ bounds ุฏูˆู„ุฉ ุชุจุนูˆู† ุงู„ ACF ุนุงุฑููŠู†
188
00:12:07,460 --> 00:12:11,260
ู‡ู…ุŸ limits confidence limits ู‡ุฏูˆู„ ู…ุซู„ู‹ุง ุนู†ุฏ ุงู„ุฑุจูŠุน
189
00:12:11,260 --> 00:12:15,530
ุจูŠุนุฏู‘ูŠู‡ู… ููŠ ูุตู„ ุฃูˆ ููŠ ุงู„ุณู†ุฉ ุงู„ุฃูˆู„ู‰ ุจุนุฏูŠู† ุจุนุฏ ุฃุฑุจุนุฉ
190
00:12:15,530 --> 00:12:19,970
ูุตูˆู„ ุนู†ุฏ ุงู„ุฑุจูŠุน ุจุฑุถู‡ ุจูŠุนุฏู‘ูŠ ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ุจุนุฏูŠู† ุจุฑุถู‡
191
00:12:19,970 --> 00:12:24,430
ุจูŠุนุฏู‘ูŠ ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ูŠุนู†ูŠ ูŠุง ุจู†ุงุช ูƒู„ ุฃุฑุจุนุฉ lags ูƒู„
192
00:12:24,430 --> 00:12:30,390
ุฃุฑุจุนุฉ lag ุจุชุชูˆู‚ุน ุฅูŠุด ุงู„ lag ู…ุงู„ู‡ุŸ ุนุงู„ูŠ ูŠุนู†ูŠ ููŠ ู‡ู†ุง
193
00:12:30,390 --> 00:12:35,030
correlation ุนุงู„ูŠ ู…ูู‡ูˆู… ู…ุซู„ู‹ุง ูˆุจุงู‚ูŠ ุงู„ lags ุฎู„ูŠู†ูŠ
194
00:12:35,030 --> 00:12:39,310
ู†ู‚ูˆู„ ุดูˆ ู…ุงู„ู‡ู…ุŸ ู‚ู„ูŠู„ุฉ ุฃูˆ ู…ุซู„ู‹ุง ู†ูŠุฌูŠ ู†ู‚ูˆู„ ุงู„ุฑุจูŠุน ุนุงู„ูŠ
195
00:12:39,310 --> 00:12:45,120
ู‚ุฏุงู… ู…ูู‡ูˆู… ูƒู„ ุฑุจูŠุน ุฑุฃู‰ ุทุงู„ุน ู‡ูŠูƒ ูˆุงุถุญ ุงู„ุฑุณู…ุฉ ุฃุนุชู‚ุฏ ูˆ
196
00:12:45,120 --> 00:12:50,420
ุงุญู†ุง ู‡ู†ุดูˆูู‡ุง ุฅู† ุดุงุก ุงู„ู„ู‡ ูƒู…ุงู† ุดูˆูŠู‘ุฉ ุดุฑุญู†ุงู‡ุง ู‚ุจู„ ู‡ูŠูƒ
197
00:12:50,420 --> 00:12:54,570
ุชู…ุงู… ูˆุทุจุนู‹ุง ุจุงู„ู…ู†ุงุณุจุฉ DQ ูˆุงู„ filler test ุจู„ุนุจ ุฏูˆุฑ
198
00:12:54,570 --> 00:12:57,650
ุจุฑุถู‡ ู‡ู†ุง ู…ุน ุงู„ุนู„ู… ุฃู†ู‘ูŠ ู‚ู„ุช ู„ูƒู… ู‚ุจู„ ู‡ูŠูƒ ุฃู†ู‘ DQ ูˆ
199
00:12:57,650 --> 00:13:01,590
filler test ู…ุง ู„ู‡ู… ู‡ุฏูˆู„ ู…ุง ู‡ู…ุด ูƒุชูŠุฑ ูŠุนู†ูŠ ู‚ูˆุฉ ูˆ
200
00:13:01,590 --> 00:13:05,550
ุงู„ุฃุฎุฑูŠู† ู„ูƒู† ุชุงุจุนูˆู† ุงู„ุฑูŠุงุถูŠุงุช ุงู„ู…ุงู„ูŠุฉ ุฎู„ุงุต ู…ุชุนูˆุฏูŠู†
201
00:13:05,550 --> 00:13:10,650
ูŠุณุชุฎุฏู…ูˆู‡ ูˆู‡ูˆ ุญู‚ูŠู‚ุฉ ูŠุนู†ูŠ ู‡ูˆ test ู‚ุฏูŠู… ุฃูˆู„ test ุทู„ุน
202
00:13:10,650 --> 00:13:14,330
ูุจุงู„ุชุงู„ูŠ ูŠุนู†ูŠ ุฅูŠู‡ ู„ู‡ ุงุญุชุฑุงู…ู‡ ู…ุงุดูŠ ู„ู‡ ููŠ ุชุญุณูŠู†ุงุช
203
00:13:14,330 --> 00:13:18,760
ู„ุง ุดูƒ ุฃุญุณู† ู…ู†ู‡ ูˆู…ู…ูƒู† ุชุณุชุฎุฏู… ุงู„ุชุญุณูŠู†ุงุช ูŠุนู†ูŠ ู„ูŠุณ
204
00:13:18,760 --> 00:13:22,440
ุดุฑุทู‹ุง ุฃู† ูŠูƒูˆู† ุงู„ุงุณู… ูƒู…ุง ู‡ูˆ ุจูƒูŠู ู„ุง ู‡ู†ุงูƒ ุงู„ุจุฏูŠู„ ุนู†ู‡
205
00:13:22,440 --> 00:13:26,220
ู…ู…ูƒู† ุชุณุชุฎุฏู… ุงู„ุจุฏูŠู„ ุชู…ุงู…ุŸ ุจุณ ููŠ ุฌู…ูŠุน ุงู„ุญูˆุงุฑุงุช ุงู„
206
00:13:26,220 --> 00:13:29,900
test ู‡ุฐุง ุฃู†ุชู… ุจุชุนุฑููˆุง ุนุดุงู† ุงู„ null hypothesis ุฃู†
207
00:13:29,900 --> 00:13:34,080
ุงู„ data ู…ุง ู„ู‡ุง ู…ุด stationary ู…ู‚ุงุจู„ ู…ู† ุงู„
208
00:13:34,080 --> 00:13:37,100
alternative ุฃู† ุงู„ data ู…ุง ู„ู‡ุง stationary ูุจูŠุฎุชุจุฑ
209
00:13:37,100 --> 00:13:40,960
ู‡ุฐุง ุงู„ูƒู„ุงู… ุฒูŠ ู…ุง ุชุนู„ู…ู†ุง ุงู„ุฎู„ุงุตุฉ ููŠ ู‡ุฐู‡ ุงู„ุฎุทูˆุฉ
210
00:13:40,960 --> 00:13:45,150
ุนุฑูุชูˆู‡ุง ู†ุญู„ู‘ู‡ุง ุจุนุฏ ู‡ูŠูƒ ู†ูุชุฑุถ ูŠุง ุจู†ุงุช ุฃู†ูƒ ุฃู†ุชู
211
00:13:45,150 --> 00:13:48,070
ุงุญุชุงุฌุชูŠ ุงู„ูŠู…ูŠู† ู„ู„ differencing ุทุจุนู‹ุง ู…ุชู‰ ุจุชุญุชุงุฌูŠ ุงู„
212
00:13:48,070 --> 00:13:51,970
differencingุŸ ููŠ ุญุงู„ุฉ ุฃู†ู‘ู‡ ุฃุซุจุชุช ุฃู†ู‘ู‡ ุงู„ุฑุณู…ุฉ
213
00:13:51,970 --> 00:13:54,610
ูˆุงู„ุงุฎุชุจุงุฑุงุช ุฃู†ู‘ู‡ ุฏุง ุชูƒูˆู† stationary ูู…ู…ูƒู† ููŠ
214
00:13:54,610 --> 00:13:57,910
ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุฃู†ูƒ ุชุนู…ู„ูŠ ุงู„ differencing ุนุดุงู† ุดู‡ูˆ ู‡ูˆ
215
00:13:57,910 --> 00:14:02,210
ูŠุชุญู‚ู‚ ุงู„ stationary ุฏูŠ ู…ุงุดูŠ ุทุจุนู‹ุง ุงู„ differencing
216
00:14:02,210 --> 00:14:06,010
ุจุชุนุฑููˆู‡ ุฃูˆ ู…ู…ูƒู† ุชุฃุฎุฐูˆุง ุงู„ log ุจุงู„ู…ู†ุงุณุจุฉ ุตุญ ุฃู†ุง
217
00:14:06,010 --> 00:14:09,570
ู…ุง ุดุฑุญุชุด ุงู„ log ุจุชูุงุตูŠู„ ูˆู„ูƒู† ููŠ ุจุนุถ ุงู„ุญุงู„ุงุช ู†ุณุชุฎุฏู…
218
00:14:09,570 --> 00:14:12,690
ุงู„ log ุจุฏูŠู„ ุนู† ุนุงู…ูŠู† ุงู„ differencing ู„ู…ุง ูŠูƒูˆู†
219
00:14:12,690 --> 00:14:14,910
ุงู„ุจูŠุงู†ุงุช ุฑุณู…ุชู‡ุง exponential function ุฒูŠ ุงู„
220
00:14:14,910 --> 00:14:20,550
exponential ูุงู„ log ุจูŠุญู„ ุงู„ู…ุดูƒู„ุฉ okay ู‡ู„ุฃ ู…ู…ูƒู†
221
00:14:20,550 --> 00:14:23,590
ุชุนู…ู„ูˆุง seasonal differencingุŒ ุทุจุนู‹ุง ุจุฏูŠ ุฃู„ุงุญุธูŠ
222
00:14:23,590 --> 00:14:26,170
ูˆุงุญุฏุฉ ุดุบู„ุฉ ู…ู‡ู…ุฉ ุนู†ุฏ ุงู„ seasonal differencingุŒ ุฅูŠุด
223
00:14:26,170 --> 00:14:29,610
ุงู„ูุฑู‚ ุจูŠู†ู‡ ูˆุจูŠู† ุงู„ difference ุงู„ุนุงุฏูŠุŸ ู‡ู„ุฃ ู„ู…ุง ุชุนู…ู„
224
00:14:29,610 --> 00:14:32,710
ุงู„ difference ุงู„ุนุงุฏูŠุŒ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸ ุฃูˆู„ ู‚ูŠู…ุฉ
225
00:14:32,710 --> 00:14:37,530
ู†ุงู‚ุต ุซุงู†ูŠ ู‚ูŠู…ุฉุŒ ุซุงู„ุซ ู‚ูŠู…ุฉ ู†ุงู‚ุต ุซุงู„ุซ ู‚ูŠู…ุฉุŒ ู…ูู‡ูˆู…ุŸ
226
00:14:37,530 --> 00:14:42,780
ุณุงุจุน ู‚ูŠู…ุฉ ู†ุงู‚ุต ู…ูŠู†ุŸ ุซุงู…ู† ุฃูˆ ุงู„ุซุงู…ู† ู†ุงู‚ุต ุงู„ุณุงุจุน ุนุดุฑ
227
00:14:42,780 --> 00:14:49,240
ู†ุงู‚ุต ุชุณุนุฉ ุนุดุฑูŠู† ู†ุงู‚ุต ุชุณุนุฉ ุนุดุฑ ูŠุนู†ูŠ ูƒู„ X ู†ุงู‚ุต X
228
00:14:49,240 --> 00:14:54,640
ู†ุงู‚ุต ูˆุงุญุฏ ุฃูˆ T ุนููˆุง XT ู„ูƒู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ seasonal
229
00:14:54,640 --> 00:14:58,800
differencing ู†ุงู‚ุต
230
00:14:58,800 --> 00:15:03,360
ุงู„ูุตูˆู„ ุงู„ period ุงู„ู„ูŠ ู‡ูŠ S ู…ุด ุงู„ S ุชู…ูŠู‘ุฒ ุงู„ูุตู„
231
00:15:03,360 --> 00:15:08,160
period ูู…ุซู„ู‹ุง ุงู„ูุตู„ ุงู„ุฃูˆู„ ุนู„ู‰ ูุชุฑุฉ ุฃุฑุจุนุฉ ูุตูˆู„ ุงู„ูุตู„
232
00:15:08,160 --> 00:15:13,520
ุงู„ุฃูˆู„ ูˆุงู„ุฎุงู…ุณ ู…ูู‡ูˆู…ุŸ ุงู„ุฎุงู…ุณ ู†ุงู‚ุต ุงู„ุฃูˆู„ุŒ ุจุนุฏูŠู†ุŸ
233
00:15:13,520 --> 00:15:19,240
ุงู„ุณุงุฏุณ ู†ุงู‚ุต ุงู„ุซุงู†ูŠุŒ ุจุนุฏูŠู†ุŸ ุงู„ุณุงุจุน ู†ุงู‚ุต ุงู„ุซุงู„ุซุŒ
234
00:15:19,240 --> 00:15:23,720
ุจุนุฏูŠู†ุŸ ุงู„ุซุงู…ู† ู†ุงู‚ุต ุงู„ุฑุงุจุนุŒ ุทูŠุจ ุงู„ุชุงุณุนุŸ ู†ุงู‚ุต
235
00:15:23,720 --> 00:15:27,400
ุงู„ุฎุงู…ุณุŒ ุฃูŠูˆุฉ ุจุฑุงููˆ ู†ุงู‚ุต ุงู„ุฎุงู…ุณ and so on ู…ุซู„ู‹ุงุŒ ุนู„ู‰
236
00:15:27,400 --> 00:15:30,700
ุงูุชุฑุงุถ ุฃู†ู‘ู‡ ุงู„ season ู‡ู†ุง ุงู„ period ุชุจุนู‡ู…ูŠู† ุฃุฑุจุนุฉ
237
00:15:30,700 --> 00:15:34,460
ู…ุงุดูŠุŒ ู„ูƒู† ู„ูˆ ุงู„ season ู…ุซู„ู‹ุง ุงุซู†ุง ุนุดุฑ ูุงุซู†ุง ุนุดุฑ ูˆู„ุง ูƒุฏู‡ุŒ
238
00:15:34,460 --> 00:15:39,180
ุฃู„ูŠู‡ุŸ ู‚ุณู… ุฌุฏู‘ุงู‡ู„ุฃ ุฑูƒู‘ุฒูˆุง ู…ุนุงูŠุง ุฃู†ุชู… ุจุชุนุฑููˆุง ูŠุง
239
00:15:39,180 --> 00:15:43,580
ุจู†ุงุช ุฃู†ู‘ู‡ ุงู„ .. ุงู„ู‚ุฑูŠู…ุฉ .. ุงู„ู‚ุฑูŠู…ุฉ ุงู„ู„ูŠ ููŠู‡ุง ุงู„
240
00:15:43,580 --> 00:15:47,120
differencing ุญุฑู ุงู„ I ู…ุด ุงุณู…ู‡ุง autoregressive
241
00:15:47,120 --> 00:15:51,160
integrated moving average ูุงู„ integrated ู‡ูŠ ู‡ุฐู‡
242
00:15:51,160 --> 00:15:54,640
ุงู„ูƒู„ู…ุฉ ู‡ุฐู‡ ุงู„ุฏู„ุงู„ุฉ ุนู„ู‰ ู…ูŠู†ุŸ ุฃู†ูƒ ุฃู†ุชู will take care
243
00:15:54,640 --> 00:15:58,160
ุงู„ู‚ุฑูŠู…ุฉ ู„ู…ูŠู†ุŸ ููŠ ุงู„ differencing ูุฃู†ุช ู„ู…ุง ุชุณุชุฎุฏู…
244
00:15:58,160 --> 00:16:02,420
ุงู„ู‚ุฑูŠู…ุฉ model ุงู‡ ุฃู†ุชู… ุนู…ู„ูŠู‹ุง ุจุชูƒูˆู†ูˆุง ุนุงูŠุด ุจุชุนู…ู„ูˆุง
245
00:16:02,420 --> 00:16:04,860
differencing ุจุณ ู…ุด ุฃู†ุชู… ุงู„ู„ูŠ ุจุชุนู…ู„ู‡ ูุงู„ู‚ุฑูŠู…ุฉ
246
00:16:04,860 --> 00:16:08,780
ู†ูุณู‡ุง ู‡ูŠ ุฎู„ุงุต ุจุชุนู…ู„ู‡ ุฎู„ุตู†ุง ู…ุนูŠู†ุชู‡ุŸ ูˆู„ุฐู„ูƒ ุงู„ู‚ุฑูŠู…ุฉ
247
00:16:08,780 --> 00:16:13,080
ููŠ ู…ุนุธู… ุงู„ุญุงู„ุงุช ุญู‚ูŠู‚ุฉ ุจูŠุณุฏ ููŠ ู…ุนุธู… ุงู„ุญุงู„ุงุช ุงู„ู‚ุฑูŠู…ุฉ
248
00:16:13,080 --> 00:16:15,840
ุจูŠุนู…ู„ ุงู„ differencing ู„ุญุงู„ู‡ ูˆุจูŠุณูˆูŠ ุงู„ุฃู…ูˆุฑ ู‡ุฐู‡
249
00:16:15,840 --> 00:16:19,570
ูƒู„ู‡ุง ู„ุญุงู„ู‡ ูˆุงู„ุขุฎุฑู‰ ูˆู„ุง ู‡ุฐุง ูˆุฑุบู… ุนููˆุง ูˆุฑุบู… ุฐู„ูƒ ุฑุบู…
250
00:16:19,570 --> 00:16:22,690
ุฃู†ู‘ ุงู„ู‚ุฑูŠู…ุฉ ูŠุนู†ูŠ ู„ุญุงู„ู‡ ุจูŠูƒููŠ ูˆู…ุง ููŠุด ุฏุงุนูŠ ุชุนู…ู„ ุงู„
251
00:16:22,690 --> 00:16:25,990
differencing ุฅู„ุง ุฃู† ุฎุทูˆุฉ ุงู„-differencing ู‚ุฏ ุชูƒูˆู†
252
00:16:25,990 --> 00:16:30,890
ุฃุญูŠุงู†ู‹ุง ู…ู‡ู…ุฉุŒ ุงู„ุณุจุจ ุฃู†ู‡ ุฃู†ุช ุฑูƒุฒูˆุง ู…ุนุงูŠุง ู„ู…ุง ุฃู†ุช ุชุนู…ู„
253
00:16:30,890 --> 00:16:34,270
differencing ู„ู„ู€season ูƒุฃู†ูƒ ุฃู†ุช ุงุชุฎู„ุตุช ู…ู† ุงู„ู€
254
00:16:34,270 --> 00:16:38,610
seasonality ูุงุถู„ ุนู†ุฏูƒ ุงู„ุจูŠุงู†ุงุช ุงู„ู…ุชุนู„ู‚ุฉ ุจู…ูŠู†ุŸ ุจุงู„ู€
255
00:16:38,610 --> 00:16:43,450
non-seasonal components ุตุญุŸ ูˆู„ุฐู„ูƒ ุฃู†ุช ู„ุฃู† ุจู…ุฌุฑุฏ ู…ุง
256
00:16:43,450 --> 00:16:46,190
ุนู…ู„ุช ุงู„ู€differencing ุถู…ู†ุชูŠ ุฃู† ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ุฃู…ุงู…ู†ุง
257
00:16:46,190 --> 00:16:50,050
ู„ุฃู† ู…ุง ููŠุด ููŠู‡ุง seasonality ูˆู„ุฐู„ูƒ ุงู„ู„ูŠ ุจูŠุถู„ ุนู†ุฏูŠ
258
00:16:50,050 --> 00:16:52,510
ุจุฏูˆู† seasonality ููŠู‡ ู†ุงู†ูŠ ุฃุนู…ู„ู‡ estimation ุนู„ู‰
259
00:16:52,510 --> 00:16:56,610
ุงูุชุฑุงุถ ุฃู†ู‡ ู…ุงู„ู‡ ุงู„ู„ูŠ ุถุงู„.. ุงู„ู„ูŠ ุถุงู„ component
260
00:16:56,610 --> 00:16:59,730
ุงู„ู„ูŠ ุถุงู„ ููŠ ุฃุนู…ู„ู‡ estimation ุนู„ู‰ ุงูุชุฑุงุถ ุฃู†ู‡ ู…ุงู„ู‡
261
00:16:59,730 --> 00:17:04,270
ู…ุด seasonal ุตุญุŸ ูˆุจุงู„ุฃุฎูŠุฑ ุจุญุท ุงู„ู€differencing ู‡ุฐุง
262
00:17:04,270 --> 00:17:07,810
ุงู„ู„ูŠ ุฅุฌุงู†ูŠ ูˆุตู„ู‡ ูˆู„ุฐู„ูƒ ุงู„ู€differencing ู‚ุฏ ูŠูƒูˆู†
263
00:17:07,810 --> 00:17:12,390
ุฃุญูŠุงู†ู‹ุง ู…ู‡ู… ูƒุฎุทูˆุฉ ููŠ ุฅู†ู‡ ุฅูŠุด ู†ุนู…ู„ ู„ุญุงู„ู‡ุง ุงู„ู€
264
00:17:12,390 --> 00:17:17,010
estimation ู„ู…ูŠู†ุŸ ู„ู„ู€non-seasonal components ุฃูˆ ุงู„ู„ูŠ
265
00:17:17,010 --> 00:17:21,960
ู‡ูˆ ุงู„ู€part ุชุจุน ุงู„ู€non-seasonality ูˆุงุถุญุฉ ูŠุง ุจู†ุงุชุŸ ู…ุน
266
00:17:21,960 --> 00:17:25,440
ุงู„ุฃู„ู… ุฃู† ุงู„ู€ARIMA ุจุชู…ุดูŠ ู„ุญุงู„ู‡ุง ูˆู‡ูŠ ุงู„ู„ูŠ ุจู†ูุถู„
267
00:17:25,440 --> 00:17:28,880
ุงุณุชุฎุฏุงู…ู‡ุง ูˆุทุจุนู‹ุง ุงู„ู€R.. ุงู„ุจุฑู†ุงู…ุฌ ุงู„ุญุตุงุฆูŠ ุงู„ู€R
268
00:17:28,880 --> 00:17:32,100
ุฌูˆุงู‡ ุงู„ู€function ุงู„ู„ูŠ ุงุณู…ู‡ุง ARIMA.. ARIMA ุฐุงุช
269
00:17:32,100 --> 00:17:35,980
ู†ูุณู‡ุง.. ููŠ function ุงุณู…ู‡ุง ARIMA ูุงู„ู€ARIMA ุจุฅู…ูƒุงู†ูƒ
270
00:17:35,980 --> 00:17:39,840
ุชุฏุฎู„ ููŠู‡ุง ู…ูŠู†ุŸ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€differencing ูˆุชุนู…ู„
271
00:17:39,840 --> 00:17:46,340
seasonal ูˆnon-seasonal ูู…ุฌุงุฒุฉ.. ู‡ู„ุง ุจุนุฏ ู‡ูŠูƒ ู†ุญุฏุฏ
272
00:17:46,340 --> 00:17:51,150
.. ู†ุญุฏุฏ ู…ูŠู†ุŸ ุงู„ู€orders ุชุจุนูˆู† ุงู„ู€P ูˆุงู„ู€Q ูˆุนุงุฑููŠู†
273
00:17:51,150 --> 00:17:55,210
ู…ูŠู† ุงู„ู€PุŸ ุงู„ู€P ู…ูŠู† ู‡ู…ุง ุงู„ู€order excessive ุงู„ู€order
274
00:17:55,210 --> 00:17:59,330
ุชุจุน ูˆุงู„ู€Q ุงู„ู„ูŠ ู…ูŠู†ุŸ ุจู„ุนุจ ุฏูˆุฑ ูƒุจูŠุฑ ุฌุฏู‹ุง ููŠ ุชุญุฏูŠุฏ ุงู„ู€
275
00:17:59,330 --> 00:18:07,210
orders ู‡ุฏูˆู„ ุฑุณู…ุฉ ุงู„ู€ACF ูˆุงู„ู€partial ACF ู†ุญูŠุง ุงู„ู€
276
00:18:07,210 --> 00:18:10,930
ACF ูˆุงู„ู€partial ACF ุญู‚ูŠู‚ุฉ ูŠุง ุจู†ุงุช theoretically
277
00:18:10,930 --> 00:18:15,310
ุจูŠุฎุชู„ู ุดูˆูŠุฉ ุนู† ู…ูŠู†ุŸ ุนู† ุงู„ู€sample ูŠุนู†ูŠ ุนุงู„ู… ุงู„ู€
278
00:18:15,310 --> 00:18:20,600
population ุนุงู„ู… ุงู„ู…ุฌุชู…ุน ุนุงู„ู… ุงู„ู†ุธุฑูŠุฉ ุขู‡ ุนุงู„ู… ู…ุซุงู„ูŠ
279
00:18:20,600 --> 00:18:24,240
ูุงู‡ู…ูŠู† ุฅูŠู‡ุŸ ูุงุญู†ุง ุจุงู„ู€English ุจู†ู‚ูˆู„ ุงู„ู€ACF ูŠุฌุจ ุฃู†
280
00:18:24,240 --> 00:18:27,060
ุชูƒูˆู† ุตูุฑ ู„ูƒู† ุนู†ุฏ ุงู„ุชุทุจูŠู‚ ุงู„ูˆุงู‚ุน ููŠ ุงู„ุญูŠุงุฉ ููŠ
281
00:18:27,060 --> 00:18:30,460
ุงู„ุนูŠู†ุงุช ุฃูˆ ุญุชู‰ ููŠ ุงู„ู€simulation ู†ุฌุฏ ุฃู†ู‡ุง ู…ุด
282
00:18:30,460 --> 00:18:34,360
exactly ุตูุฑ ูˆู„ูƒู† ุนู„ู‰ ุงู„ุฃู‚ู„ ููŠ ุงู„ู€sample ุฃู† ุชุชุตุฑู
283
00:18:34,360 --> 00:18:39,220
ูƒุฅูŠุดุŸ ูƒุชุตุฑู ุงู„ู€population ู…ูู‡ูˆู…ุŸ ูˆู„ุฐู„ูƒ ุงู„ุขู† ุงู„ู€
284
00:18:39,220 --> 00:18:44,680
ACF ูˆุงู„ู€partial ACF ุญู‚ูŠู‚ุฉ theory ุงุญู†ุง ููŠู†ุง ุขู‡ ู…ุด
285
00:18:44,680 --> 00:18:47,920
ุฃู†ุง ุฃู†ุง ู‚ุฏุงู… ุดูˆูŠุฉ ู†ุนู… ูˆุฃู†ุง ูƒู†ุช ุฃุชูˆู‚ุน ุงู„ู€slide
286
00:18:47,920 --> 00:18:51,660
ุงู„ู„ูŠ ุฌุงูŠ ุทูŠุจ ุงู„ู€slide ุงู„ู„ูŠ ุฃู†ุง ุฌู„ุจุช ุนู„ูŠู‡ ู‡ุฐู‡
287
00:18:51,660 --> 00:18:56,980
ู…ุง ููŠู‡ุง ุญุงุฌุงุช ูƒุชูŠุฑุฉ ู‡ูŠ ู…ุฌุฑุฏ ุฃู† ุงู„ู€plot ูŠุจูŠู† ู„ูŠ ุงู„ู€
288
00:18:56,980 --> 00:19:02,440
outliers ุงู„ู€outliers ุงู„ู„ูŠ ู‡ูŠ ู‚ูŠู… ุงู„ุดุงุฐุฉ ุงู„ุดูˆุงุฒ
289
00:19:02,440 --> 00:19:08,150
ุงู„ู‚ูŠู… ุงู„ู…ุชุทุฑูุฉ ุงู„ู€missing values ุงู„ู€stationary
290
00:19:08,150 --> 00:19:12,650
ุงู„ุฑุณู… ุงู„ู„ูŠ ู‚ู„ุชู‡ ู‚ุจู„ ุดูˆูŠุฉ ูู‡ุฐุง ุงู„ู€slide ู…ุง ููŠู‡
291
00:19:12,650 --> 00:19:17,850
ุตุฑุงุญุฉ ุดูŠุก ุฌุฏูŠุฏ ูˆู„ูƒู† ุฃู†ูŠ ุฃู†ุง ุจุณ ุจุฏูŠ ุฃุญุฏุฏ ุฃู†ู‡ ุฃุฑูƒุฒูƒู…
292
00:19:17,850 --> 00:19:22,930
ุนู„ู‰ ุฃู†ู‡ ููŠ ุงู„ู€R ุนุดุงู† ุณู„ุณู„ุฉ ุฒู…ู†ูŠุฉ ููŠูƒูˆุง ุชุณุชุฎุฏู…ูˆุง
293
00:19:22,930 --> 00:19:28,650
ุงู„ู„ูŠ ู‡ูŠ ุจุฏู„ ูƒู„ู…ุฉ plot ู„ู„ุฑุณู… ูŠุนู†ูŠ ุชุณุชุฎุฏู…ูˆุง ูƒู„ู…ุฉ ู…ู†
294
00:19:28,650 --> 00:19:34,680
Ts ูŠุนู†ูŠ ุงู„ู€time series dot plot ูููŠ ุงู„ุญุงู„ุฉ ู‡ูŠ ุฏูŠ
295
00:19:34,680 --> 00:19:38,340
ุจูŠุญูˆู„ู‡ุง ุฅู„ู‰ ู…ูŠู†ุŸ ุงู„ู€time series ู‡ุฐุง ุงู„ูุฑู‚ ุจูŠู†ู‡ู…
296
00:19:38,340 --> 00:19:41,400
ุจุงู„ู…ู†ุงุณุจุฉ ู‡ูŠ ูŠุนู†ูŠ ุฃู†ุง ุนุดุงู† ุฃูˆุฑูŠูƒูˆุง ุงู„ูุฑู‚ ุฃู†ุง
297
00:19:41,400 --> 00:19:45,660
ุฃุนุชู‚ุฏ ุนู…ู„ุชู‡ ู‡ุฐุง ุฃุนุชู‚ุฏ ุตุญ ุขู‡ ุขู‡ ุนู…ู„ุชู‡ ุฃุนุทูŠุชูƒูˆุง
298
00:19:45,660 --> 00:19:53,120
ุฃุนุชู‚ุฏ ุนู…ู„ุชู‡ ุงู„ู„ูŠ ู‡ูˆ ู…ุซู„ู‹ุง ู„ูˆ ูƒุงู† ู…ุซู„ู‹ุง X ุจุชุณุงูˆูŠ R
299
00:19:53,120 --> 00:19:59,540
norm ู…ูŠุฉ ูˆุนู…ู„ู†ุง plot ู„ุญุงู„ู‡ุง ู„ู„ู€X
300
00:20:02,210 --> 00:20:08,370
ุจู†ูŠุญ ุจูŠู†ู…ุง ู„ูˆ ุนู…ู„ู†ุง ts ู„ู„ู€plot ู„ู„ู€x ุจู†ุดูˆู ุงู„ูุฑู‚
301
00:20:08,370 --> 00:20:14,450
ุจูŠุทู„ุน ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ูุงู„ุฃูˆู„ุงู†ูŠ ุงู„ุฃูˆู„ุงู†ูŠ
302
00:20:14,450 --> 00:20:17,330
ุฒูŠ ู…ุง ุฃู†ุชู… ุดุงูŠููŠู†ู‡ ู†ู‚ุงุท ุจูŠู†ู…ุง ู‡ุฐุง ู‡ูŠุณู…ูˆู‡ุง as ุฅูŠู‡
303
00:20:17,330 --> 00:20:22,390
ูŠุง ุนุดุงู†ุŸ time series object ุชู…ุงู…ุŸ ุฒูŠ ู…ุง ุฃู†ุชู…
304
00:20:22,390 --> 00:20:25,190
ุดุงูŠููŠู†ู‡ ู…ุน ุงู„ุนู„ู… ุฃู†ู‡ ู…ุง ุญุฏุด ุฃุฐูƒุฑ ุฃู† ุฃู†ุง ุฃุนุทูŠุชูƒูˆุง
305
00:20:25,190 --> 00:20:27,930
ุฅูŠุงู‡ ุฎู„ุงุต ุฃุนุทูŠุชูƒูˆุง ู…ุญุงุถุฑุชูŠู† ุนู„ู‰ ุงู„ู€R ูˆุฎู„ุตู†ุงู‡ุง
306
00:20:27,930 --> 00:20:32,670
ู…ุง ููŠุด ุฏู‡ ุนู†ูŠ ุฅู† ุดุงุก ุงู„ู„ู‡ ุจุฑูƒู†ู†ุง ูŠุนู†ูŠ ููŠ ุขุฎุฑ ุดู‡ุฑ
307
00:20:32,670 --> 00:20:37,630
ุฃุฑุจุนุฉ ุนู…ู„ู†ุง ุฃู†ุง ู…ุญุงุถุฑุชูŠู† ุฃูˆ ุซู„ุงุซุฉ ุนุงู„ู…ูŠู† ุนู„ู‰ ุงู„ู€RุŒ
308
00:20:37,630 --> 00:20:40,290
ูƒู„ ุงู„ู„ูŠ ุนู…ู„ู†ุง ุงุญู†ุง ุชุทุจูŠู‚ุงุช ุจุดูƒู„ ุนุงู… ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ
309
00:20:40,290 --> 00:20:44,200
ุฅู† ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„ุจุฏุกุŒ ููŠ ุงู„ุจุฏุก ุทูŠุจ ุฅุฐุง ู‡ุฐู‡ ุฎู„ูŠู†ูŠ
310
00:20:44,200 --> 00:20:47,060
ุฃู†ุง ู…ุง ุฃุญูƒูŠุด ุนู„ูŠู‡ุง ูƒุชูŠุฑ ู„ุฃู†ู‡ุง ู‡ูŠ ู‡ุฐู‡ ุงู„ุฑุณู… ุจูŠุจูŠู† ู„ูƒ
311
00:20:47,060 --> 00:20:51,220
ูŠุง ุจู†ุงุช ู…ู† ุญุงุฌุงุช ูƒุชูŠุฑุฉ ูู…ุซู„ู‹ุง ุจุนุถ ุงู„ุฑุณูˆู…ุงุช ุงู„ู„ูŠ ุฃู†ุง
312
00:20:51,220 --> 00:20:55,300
ุงู„ุขู† ู…ุซู„ู‹ุง ู†ูุชุฑุถ ุฑุณู…ุชู‡ ุณู„ุณู„ุฉ ุฒู…ู†ูŠุฉ ู…ุซู„ู‹ุง ุฑุณู…ุชู‡
313
00:20:55,300 --> 00:20:58,600
ุณู„ุณู„ุฉ ุฒู…ู†ูŠุฉ ุจุชุจูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€gold ู‡ุฐู‡ ู‡ุฐุง ููŠ ุงู„ู€
314
00:20:58,600 --> 00:21:02,800
package ุงู„ู„ูŠ ุงุณู…ู‡ forecast ุฃุฎุฏุช ุจูŠุงู†ุงุช ู…ู†ู‡ ุงู„ู„ูŠ
315
00:21:02,800 --> 00:21:05,380
ุนู„ุงู‚ุฉ ุจุงู„ู€gold ูˆุงู„ู„ู‡ ุญุชู‰ ู…ุง ุทู„ุนุช ุนู† ุดูˆ ุงู„ู€gold
316
00:21:05,380 --> 00:21:10,290
ุจุญูƒูŠ ุจุณ ุฃูƒูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ูŠุนู†ูŠ ูŠู…ูƒู† ุงู„ุชู†ู‚ูŠุจ ุนู† ุงู„ุฐู‡ุจ ุนุจุฑ
317
00:21:10,290 --> 00:21:16,070
ุงู„ุฒู…ู† ุฃูˆ ู…ุซู„ู‹ุง ุณุนุฑ ุงู„ุฐู‡ุจ ู†ุณูŠุช ุจุตุฑุงุญุฉ ุฃูˆ ู…ุง ุงู‡ุชู…ุชุด
318
00:21:16,070 --> 00:21:19,990
ุฅูŠุด ุงู„ุจูŠุงู†ุงุช ุจุชุญูƒูŠ ูƒู„ ุงู„ู„ูŠ ุดูุชูˆุง ุงู„ู€gold ูˆุงู„ู€time
319
00:21:19,990 --> 00:21:22,730
ู‚ู„ุช ู‡ู‡ ู‡ูŠ outlier ู„ุฌูŠู†ุง ุฅู†ู†ุง ู…ุซู„ ุงู„ู€outlier
320
00:21:22,730 --> 00:21:26,290
ูุนุทูŠุชูƒูˆุง ูŠุนู†ูŠ ุจุนูŠู†ูƒูˆุง ุงู„ู„ู‡ ุจุชุดูˆููˆุง ุฃู†ุชู… ูุทุจุนู‹ุง ู„ูˆ
321
00:21:26,290 --> 00:21:29,130
ุฑุณู…ุชูˆุง ุงู„ุณู„ุณู„ุฉ ุฒูŠ ู…ุง ุฃู†ุชู… ุดุงูŠููŠู† ููŠู‡ ุฃู†ุง ู‡ู†ุง ุนู†ุฏูŠ
322
00:21:29,130 --> 00:21:33,830
ุฅูŠุด outlier ู‚ูŠู…ุฉ ุดุงุฐุฉ ุตุญุŸ ู„ุฃู†ู‡ ุฒู…ุงู†.. ููŠ trend ู„ุดูƒู„
323
00:21:33,830 --> 00:21:38,570
ูˆู„ูƒู† ูุฌุฃุฉ ู‡ู†ุง ู…ุซู„ู‹ุง ุณุนุฑ ุงู„ุฐู‡ุจ ุนู„ู‰ ุงูุชุฑุงุถ ุฃู† ู‡ูˆ ุณุนุฑ
324
00:21:38,570 --> 00:21:43,770
ุงู„ุฐู‡ุจ ูุฌุฃุฉ ุณุงู„ ุงู„ุฐู‡ุจ ู…ุงู„ู‡ ุขู‡ ุทู„ุน ุนู„ูŠู‡ ุนุงู„ูŠ ุฌุฏู‹ุง ูู‡ุฐู‡
325
00:21:43,770 --> 00:21:49,070
outlier ู‚ุฏ ุชูƒูˆู† ุงู„ู‚ูŠู…ุฉ ุญู‚ูŠู‚ูŠุฉ ู‡ุฐู‡ ุงู„ู€outlier ู…ุดูƒู„ุฉ
326
00:21:49,070 --> 00:21:53,650
ู‚ุฏ ุชูƒูˆู† ู‚ูŠู…ุฉ ู…ุด ุญู‚ูŠู‚ูŠุฉ ูŠุนู†ูŠ ุงู„ู„ูŠ ุจูƒุชุจ ููŠ ุงู„ุจูŠุงู†ุงุช
327
00:21:53,650 --> 00:21:58,690
ูˆุจูŠุนู…ู„ ุฃุฎุทุฃ ูˆู„ุฐู„ูƒ ุงู„ู€outlier ู‡ุฐู‡ ููŠู†ุง ู„ู…ุง ุฃู†ุง ุฃุฌูŠ
328
00:21:58,690 --> 00:22:05,270
ุฃุนู…ู„ ุชุญู„ูŠู„ ู„ุงุฒู… ุฃู†ุง ุฃุดูˆู ู„ู‡ุง ุญู„ ู„ู‡ุง ุดุบู„ู‡ุง ููŠ ุงู„ุญุตุฉ
329
00:22:05,920 --> 00:22:09,020
ู…ูู‡ูˆู…ุŸ ูŠุนู†ูŠ ูŠุง ุจู†ุงุช ุชู‚ูˆุนูƒ ุชุฑูˆุญ ุชุญู„ู„ูˆุง ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ
330
00:22:09,020 --> 00:22:13,320
ุฃู…ุงู…ูƒูˆุง ู‡ุฐู‡ ู…ุจุงุดุฑุฉ ุจุฏูˆู† ู…ุง ุฅูŠุด ุชุญู„ูˆุง ู…ุดูƒู„ุฉ ุงู„ู€
331
00:22:13,320 --> 00:22:17,640
outlier ูƒูŠู ุชุญู„ูˆุงู‡ุงุŸ ุชุฑูˆุญ ุชุฑุฌุนูˆุง ู„ู„ุจูŠุงู†ุงุช ุงู„ุญู‚ูŠู‚ูŠุฉ
332
00:22:17,640 --> 00:22:20,740
ุชุชุฃูƒุฏูˆุง ุฅูŠุด ูƒุงู† ููŠ ู‡ุฐุง ุงู„ุนุงู… ููŠ ุงู„ุนุงู… ู‡ุฐุง ุงู„ู„ูŠ ู‡ู†ุง
333
00:22:20,740 --> 00:22:25,420
ู…ุซู„ู‹ุง ููŠ ุงู„ุนุงู… 2000 ุดูˆ ูƒุงู†ุŸ ููŠ ุฃุฒู…ุฉ ูุนู„ู‹ุงุŸ ูˆู„ุง ููŠ
334
00:22:25,420 --> 00:22:28,940
ุฎุทุฃ ู‡ู†ุง ูุนู„ู‹ุง ููŠ ุงู„ุชุนุจูŠุฑุŸ ุทุจ ุงุณู…ุนูˆุง ู†ูุชุฑุถ ูˆุฃู†ุชู…
335
00:22:28,940 --> 00:22:32,880
ุจุชุนู…ู„ูˆุง ุจุชุนู…ู„ูˆุง ูƒู„ ุงู„ู‚ูŠู… ุฃุตู„ุงู‹ ู…ูˆุฌุจุฉ ูุฌุฃุฉ ู„ุฌูŠุชูˆุง
336
00:22:32,880 --> 00:22:37,470
ู‚ูŠู…ุฉ ุณุงู„ุจุฉ ูŠุนู†ูŠ ููŠ ุฎุทุฃ ู‡ู†ุง ูŠุนู†ูŠ ุฃูƒูŠุฏ ููŠ ุฎุทุฃ ูุชุฑูˆุญ
337
00:22:37,470 --> 00:22:41,730
ุชุญู„ู„ ุงู„ุจูŠุงู†ุงุช ุจูˆุฌูˆุฏ ุงู„ุฎุทุฃ ุงู„ุฑุณู… ุจูŠุจูŠู† ู„ูƒ ุฃู†ู‡ ููŠ ุฎุทุฃ
338
00:22:41,730 --> 00:22:47,790
ูู…ุซู„ู‹ุง ุฃู†ุชู… ุนุงุฑููŠู† ุฃู†ู‡ ู…ุซู„ู‹ุง ุฅูŠุด ููŠ ุนู†ุฏูŠ ุงู„ุฏุฎู„ ุนู„ู‰
339
00:22:47,790 --> 00:22:50,630
ุงูุชุฑุงุถ ุฃู† ุงู„ุฏุฎู„ ุฏุงุฆู…ู‹ุง ู…ูˆุฌุจ ุนู„ู‰ ููƒุฑุฉ ุงู„ุฏุฎู„ ู…ู…ูƒู†
340
00:22:50,630 --> 00:22:57,590
ูŠูƒูˆู† ุณุงู„ุจ ุฅู„ุง ุฅุฐุง ูƒุงู† ุงุชุฏุงูŠู† ุฅู„ุง ุฅุฐุง ุงุชุฏุงูŠู† ุฃูˆ ุฅุฐุง
341
00:22:57,590 --> 00:23:01,590
ุงุชุฏุงูŠู† ุงู„ุฅู†ุณุงู† ุจูŠูƒูˆู† ุงู„ุฏุฎู„ ูู†ูุชุฑุถ ุฃู†ู‡ ุงู„ุฏุฎู„ ุจู„ุงุด
342
00:23:01,590 --> 00:23:06,340
ุงู„ุฏุฎู„ ุงู„ู€consumption ุงู„ุงุณุชู‡ู„ุงูƒ ุงู„ุฅู†ุณุงู† ุงุณุชู‡ู„ุงูƒู‡
343
00:23:06,340 --> 00:23:11,540
ู„ู„ู…ุงู„.. ู„ู„ุทุนุงู… ุฏุงุฆู…ู‹ุง ู…ูˆุฌุจ ูˆู„ุง ุจูŠุงูƒู„.. ุขู‡ ุฏุงุฆู…ู‹ุง
344
00:23:11,540 --> 00:23:15,580
ู‡ุฐุง ู…ูˆุฌุจ ุฎู„ุงุต ูุงุณุชู‡ู„ุงูƒ ู„ู„ุฒู…ู† ุนุจุฑ.. ุนููˆู‹ุง ู„ู„ุทุนุงู…
345
00:23:15,580 --> 00:23:18,700
ุนุจุฑ ุงู„ุฒู…ู† ุฏุงุฆู…ู‹ุง ู…ูˆุฌุจ ูˆุฃู†ุช ุจุชุฑุณู… ุฅูŠู‡ ููŠ ู‚ูŠู…
346
00:23:18,700 --> 00:23:22,340
ุงู„ุงุณุชู‡ู„ุงูƒ ุงู„ู€consumption ู‡ู†ุง ูˆุฌุฏุช ู„ูƒ ุฃู† ููŠ ุณู†ุฉ ู…ู†
347
00:23:22,340 --> 00:23:25,500
ุงู„ุณู†ุชูŠู†.. ููŠ ุณู†ูˆุงุช.. ู…ู† ุงู„ุณู†ูˆุงุช ุนููˆู‹ุง ุฃูˆ ููŠ ุฃูƒุซุฑ
348
00:23:25,500 --> 00:23:31,800
ู…ู† ู…ุฑุฉ ู„ู‚ูŠุช ู‚ูŠู… ุณุงู„ุจุฉ ุดูˆ ู…ุนู†ุงู‡ุŸ ู‡ู†ุง ููŠ ุฎุทุฃ ูู„ุงุฒู…
349
00:23:31,800 --> 00:23:34,900
ููŠ ุงู„ุจุฏุงูŠุฉ ุชุญู„ูŠู‡ุŒ ู‡ุฐุง ุจูˆุฑูŠู†ูŠ ุทุจุนู‹ุง ุงู„ู€plot ุฃูƒูŠุฏ
350
00:23:34,900 --> 00:23:38,000
ุฃู†ุชู… ุนุงุฑููŠู†ู‡ุŒ ู‡ุฐู‡ ุงู„ุฑุณูˆู…ุงุช ุงู„ู„ูŠ ุจุงู„ู…ู†ุงุณุจุฉ ุฌุจุชู‡ุง
351
00:23:38,000 --> 00:23:42,860
ู…ู† ุฃูˆู„ ู…ุญุงุถุฑุฉ ุจุฏุฃู†ุง ููŠู‡ุง ุงู„ู…ุงุฏุฉ ูŠูˆู… ู…ุง ุงุญู†ุง ุฑุณู…ู†ุง
352
00:23:42,860 --> 00:23:46,980
ุตุญ ูˆุฌุจู†ุง ูŠูˆู… ู…ุง.. ุทุจูŠุนุฉ ุงู„ุจูŠุงู†ุงุช ุงู„ู…ุงู„ูŠุฉ ุงู„ู„ูŠ..
353
00:23:46,980 --> 00:23:51,970
ุจุฏู†ุง ู†ู‚ูˆู„ ู…ุงู„ูŠุฉุŒ ุทุจูŠุนุฉ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฒู…ู†ูŠุฉ ุฑุงูˆ
354
00:23:51,970 --> 00:23:55,990
ุฃุฑู‚ุงู… ุฒู…ู†ูŠุฉ ูŠุนู†ูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุฃู†ู‡ ุฑุณู…ุฉ ุฒูŠ ู‡ุฐู‡
355
00:23:55,990 --> 00:24:00,530
ุจุชูˆุฑูŠู† ุฃู†ู‡ ููŠ ุนู†ุฏ ู‡ุงู†ุง ู…ูŠู†ุŸ stationary ูˆู„ุง ููŠุด
356
00:24:00,530 --> 00:24:02,990
stationaryุŸ ููŠุด stationary.. ููŠุด stationary ุฃูŠูˆุฉ
357
00:24:02,990 --> 00:24:08,750
ูˆููŠ trend ู‡ุงู†ุง ุตุญุŸ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ ูู…ุซู„ู‹ุง ูˆุงุถุญ ุงู„ุฑุณู…ุฉ
358
00:24:08,750 --> 00:24:12,210
ูˆูˆุฑู‘ุช ุฃู†ู‡ ู‡ุงู†ุง ููŠ trend ูˆููŠุด stationary ู‡ู„ ุฑุณู…ุฉ ุฒูŠ
359
00:24:12,210 --> 00:24:17,950
ู‡ุฐู‡ ุดูƒู„ู‡ุง ููŠ periodุŸ ู…ุธุจูˆุทุŸ ูู„ู…ุง ุฃู† ุฃู†ุง ุฑุณู…ุช ูˆุงุถุญ
360
00:24:17,950 --> 00:24:20,390
ู…ู† ุงู„ุฑุณู…ุฉุŒ ู‡ู„ุง ูŠุง ุจู†ุงุช ู…ู† ู‡ุงู„ู„ูŠ ูŠูˆู… ุงู„ู‚ูŠุงู…ุฉ ุจุฏูˆู†
361
00:24:20,390 --> 00:24:25,050
ู…ุฑุณู… ุจู‚ุฏุฑ ุฃุดูˆู ู‡ุฐุง ูƒู„ุงู…ุŒ ุฅุฐุง ุฃู† ุงู„ุฑุณู… ุจูŠุจูŠู†ุŒ ุตุญุŸ
362
00:24:25,050 --> 00:24:27,910
ูˆูƒู„ ู‡ุฐู‡ ุงู„ุฃู…ุซู„ุฉ ู…ุงุฑูŠู† ุนู„ูŠู‡ุง ููŠ ุจุฏุงูŠุฉ ุงู„ู…ุญุงุถุฑุฉุŒ ู‡ุฐู‡
363
00:24:27,910 --> 00:24:30,790
ุฅุฐุง ุจุชุฐูƒุฑ ูŠูˆู… ู…ุง ู‚ู„ุช ู„ูƒูˆุง ุฒูŠ ุงู„ุฃุณุฏ ู‡ูˆ ูˆู„ุง ุฒูŠ ุงู„ู†ู…ุฑ
364
00:24:30,790 --> 00:24:35,890
ูˆู„ุง ุฒูŠ ุงู„ู‚ุทุŒ ุงู„ู‚ุท ุงู„ู„ูŠ ุนุงูŠุด ููŠ ุดู…ุงู„ ุงู„ู‚ุทุจ ููŠ ูƒู†ุฏุงุŒ
365
00:24:35,890 --> 00:24:41,640
ููŠ Mackenzie River ุขู‡ ุงู„ู€linux ู‡ุฐุง ุขู‡ ุชุฒู…ุน ุนุจุฑ
366
00:24:41,640 --> 00:24:45,960
ุงู„ุณู†ูˆุงุช ูู‡ุฐู‡ period ููŠู‡ ูˆุงุถุญ ุฃู†ู‡ ูƒู„ ุฃูƒุซุฑ ู…ู† ุงู„ุณู†ุฉ
367
00:24:45,960 --> 00:24:49,740
ูƒู„ ุนุดุฑ ุณู†ูŠู† ุงู„ู€period ุจุชูƒุฑุฑ ุญุงู„ู‡ุง ูู€periodicity
368
00:24:49,740 --> 00:24:54,920
ู‡ู†ุง ู…ุธุจูˆุท ุทุจุนู‹ุง ุฃู†ุง ู‡ู†ุง ุจุงู„ู…ู†ุงุณุจุฉ ู„ุงุฒู… ุฃุญู„ ู…ุดูƒู„ุฉ ุงู„ู€
369
00:24:54,920 --> 00:24:58,880
periodicity ู„ุงุฒู… ู‚ุจู„ ู…ุง ุฃุจู„ุด ุฃุญูƒูŠ ุนู† ู…ูŠู†ุŸ ุนู„ู‰
370
00:24:58,880 --> 00:25:03,400
ุงู„ู€ARIMA ูˆู‡ู†ุง ู„ุงุฒู… ุฃุญู„ ู…ุดูƒู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ู‡ูŠ ู…ุซู„ู‹ุง
371
00:25:03,400 --> 00:25:06,480
ู‡ู†ุง ุจุฑุถู‡ ููŠ periodicity ูƒู…ุงู† ุจุงู„ู…ู†ุงุณุจุฉ ูˆู‡ู†ุง ู„ุงุฒู…
372
00:25:06,480 --> 00:25:10,670
ุฃุญู„ ู…ุดูƒู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€trend ูˆู‡ูƒุฐุง ู‚ุจู„ ู…ุง ุฃุจู„ุด ุฃุญูƒูŠ
373
00:25:10,670 --> 00:25:14,430
ุทุจุนู‹ุง ู‡ุฐู‡ ูˆุงุถุญุฉ ุฃู†ู‡ ููŠ trend ูˆููŠ seasonality ู‡ุฐู‡
374
00:25:14,430 --> 00:25:17,990
ุงู„ู„ูŠ ุจุชุญูƒูŠ ุนู† ุนุฏุฏ ุงู„ุฑูƒุงุจ ุงู„ู„ูŠ ููŠ ุงู„ุทูŠุฑุงู† ููŠ ุงู„ุฃุดู‡ุฑ
375
00:25:17,990 --> 00:25:21,910
ูู…ุซู„ู‹ุง ููŠ ุดู‡ุฑ ู…ุนูŠู† ุงู„ู€high season ุฃู†ุช ุญุชู‰ ู„ู…ุง ุชุฑูˆุญ
376
00:25:21,910 --> 00:25:24,190
ุชุญุฌุฒ ูˆุชุฐุงูƒุฑ ุงู„ุทูŠุฑุงู† ูƒุงู† ุจูŠู‚ูˆู„ ู„ูƒ high season ูˆู„ูŠู‡
377
00:25:24,190 --> 00:25:27,610
ุชุฐุงูƒุฑ ุงู„ุทูŠุฑุงู† ููŠ ุงู„ู€ high season ูˆู„ูŠู‡
378
00:25:27,610 --> 00:25:29,650
ู…ุง ุฃู†ุชู… ูุงู‡ู…ูŠู† ู‡ุฐุง ุงู„ูƒู„ุงู… ุฎุตูˆุตู‹ุง ุงู„ู„ูŠ
379
00:25:29,650 --> 00:25:34,710
ุจูŠุณุงูุฑูˆุง ู‡ุฐู‡ ูˆุงุถุญุฉ ุฃู†ู‡ ููŠ ุนู†ุฏูŠ ู‡ู†ุง outliers ุฏู‡ ู‡ูˆ
380
00:25:34,710 --> 00:25:39,320
ู…ุธุจูˆุท ูˆููŠ ู‡ู†ุง volatility ุนุงู„ูŠุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุชุชุนู„ู‚
381
00:25:39,320 --> 00:25:42,300
ุจุงู„ู€ arts ูˆุงู„ู€ arts ููŠู…ุง ุจุนุฏ ูˆุงู„ู„ู‡ ู…ุง ุฃุธู† ุฅู† ุฅุญู†ุง
382
00:25:42,300 --> 00:25:47,420
ู‡ู†ุฎู„ุตู‡ุง ุงู„ู…ุญุงุถุฑุงุช ุงู„ู„ูŠ ููŠ ู…ุงุฏุชู†ุง ุฅุฐุง ูƒู„ ุงู„ุฑุณูˆู…ุงุช
383
00:25:47,420 --> 00:25:50,080
ู‡ุฐู‡ ู…ู…ูƒู† ุฃู† ุฃู†ุง .. ุฃู†ุง ู…ู† ุฎู„ุงู„ู‡ุง .. ูŠุนู†ูŠ ุฃู†ุง ู‡ุฐุง
384
00:25:50,080 --> 00:25:55,040
ู„ู‡ ุนุงู„ู… ุฎุงุต ู‡ุฐุง .. ู‡ุฐุง ู…ุด arma ุจุงู„ู…ู†ุงุณุจุฉ ุฑุณู…ุฉ ุฒูŠ
385
00:25:55,040 --> 00:25:58,940
ู‡ุฐู‡ ู„ู‡ุง ุนุงู„ู… ู…ุฎุชู„ู ุชู…ุงู…ู‹ุง ุนู† ุงู„ู€ arma ูŠุนู†ูŠ ู…ุด ุงู„ู€ ..
386
00:25:58,940 --> 00:26:03,020
ูŠุนู†ูŠ ุงู„ู€ arma ู…ุง ุจูŠุนู…ู„ุด ูƒู„ ุดูŠุก ู…ุงุดูŠ ูู‡ุฐู‡ ุงู„ู€ .. ุงู„ู€
387
00:26:03,020 --> 00:26:06,460
volatility ุงู„ุนุงู„ูŠ ู„ุฒูŠ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู„ูŠุด
388
00:26:06,460 --> 00:26:12,380
ููŠู…ุง ุจุนุฏ arts ู…ูˆุฏูŠู„ ุงุณู…ู‡ Arch ูˆ Garch ู‡ูˆ ุจุฏู„ ู…ุง ู‡ูŠ
389
00:26:12,380 --> 00:26:16,900
R .. ุฅูŠู‡ R ูŠุนู†ูŠุŸ ู„ุฌูŠุชู‡ุง Arch ุจุชุตูŠุจ ุงุณู…ู‡ุงุŒ
390
00:26:16,900 --> 00:26:22,490
heterostaticityุŒ ุงู„ู…ู‡ู… ุนููˆุง .. ุงู„ุขู† ุฅุญู†ุง ุงู„ุฑุณู…ุฉ ุงู„ู„ูŠ
391
00:26:22,490 --> 00:26:27,830
ุฃู…ุงู…ูƒู… ุญูƒูŠู†ุง ูƒุซูŠุฑ ูˆ .. ูˆ .. ูˆ ู†ุจุญุซ ุตูˆุชู†ุง ูˆุฅุญู†ุง
392
00:26:27,830 --> 00:26:32,210
ู†ู‚ูˆู„ ุฑุณู…ุฉ ุงู„ู€ ACF ูˆุฑุณู…ุฉ ุงู„ู€ partial ACF ู„ู„ู€ auto
393
00:26:32,210 --> 00:26:34,870
regressive ูˆู„ู„ู€ moving average ู‚ู„ุช ู„ูƒู… ููŠ ุฐุงูƒ
394
00:26:34,870 --> 00:26:38,490
ุงู„ูˆู‚ุช ุฅู†ู‡ ุนู„ู‰ ุงู„ุฑุบู… ุฅู†ู‡ ุฅุญู†ุง ุฃุฎุฐู†ุงู‡ุง ุจุณุฑุนุฉ ุฅู„ุง ุฅู†ู‡
395
00:26:38,490 --> 00:26:42,090
ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ู…ุฑ ุนู„ูŠู‡ุง ุนูŠุด ุชูุตูŠู„ ุฃูƒุซุฑ ูŠูˆู… ู†ูŠุฌูŠ
396
00:26:42,090 --> 00:26:45,710
ู†ุดุฑุญ ุนู„ู‰ ู…ูŠู† ุงู„ู€ identification ู„ู„ู€ R model ู…ู†ูŠ ุญูƒู‰
397
00:26:45,710 --> 00:26:50,760
ู…ู†ู‡ุง ู‡ู„ ู‡ูŠ ุฏูˆุฑู‡ุงุฏูˆุฑ ู‡ุงู„ู€ table ุงู„ู„ูŠ ุฃู…ุงู…ูƒู… ุฑุณู…ุช ู‡ุฐู‡
398
00:26:50,760 --> 00:26:55,480
ุงู„ู€ theory ุฅู† ู‡ูŠ ู†ุธุฑูŠุฉ ู„ู„ู€ table ู‡ุฐุง ูุฑุณู…ุฉ ุงู„ู€ ACF ุงู„ู€
399
00:26:55,480 --> 00:26:59,560
auto correlation function ูˆุงู„ู€ PACF ุงู„ู€ partial
400
00:26:59,560 --> 00:27:02,840
auto correlation function ู†ุชูˆู‚ุน ูŠุง ุจู†ุงุช ููŠ ุญุงู„ุฉ
401
00:27:02,840 --> 00:27:07,220
ู†ุนู…ู„ zoom out ููŠ ุญุงู„ุฉ ุฃู† ุชูƒูˆู† ู„ู…ุง ุชูƒูˆู† ุงู„ุจูŠุงู†ุงุช
402
00:27:07,220 --> 00:27:13,720
white noise ุฅู† ูƒู„ ุฃูŠุงุชู‡ู… ุตูุฑ ู…ุตุจูˆุทุŸ ูŠุนู†ูŠ ุฃู†ุง
403
00:27:13,720 --> 00:27:19,400
ุตุฑุงุญุฉ ู„ูˆ ุฑุณู…ุช ุงู„ู€ ACF ูˆุทู„ุนุช ูƒู„ู‡ุง ุฃุตูุงุฑ white noise
404
00:27:19,400 --> 00:27:23,620
ูˆู„ุญุงู„ู‡ุง ุงู„ู€ PACF ู„ุฃ ู…ุด ู„ุญุงู„ู‡ุง ู„ุงุฒู… ุชูƒูˆู† ุฃูŠุถู‹ุง ู…ู† ุงู„ู€
405
00:27:23,620 --> 00:27:27,180
partial ูุฑุณู…ุฉ ุงู„ู€ autocorrelation function ูˆุงู„ู€
406
00:27:27,180 --> 00:27:30,820
partial autocorrelation function ูŠุฌุจ ุฃู† ุชูƒูˆู† ูƒู„ู‡ุง
407
00:27:30,820 --> 00:27:35,280
ุฃุตูุงุฑ ู‡ุฐุง ููŠ ุนุงู„ู… ุงู„ู†ุธุฑูŠ ููŠ ุงู„ู€ theory zero ูˆู„ูƒู† ููŠ
408
00:27:35,280 --> 00:27:40,200
ุนุงู„ู… ุงู„ู€ sample ุจูŠูƒูˆู†ุด zero ุจูŠูƒูˆู† ุดูˆ ุนุงุฏ ุจูŠู† ุงู„ุฎุทูŠู†
409
00:27:40,200 --> 00:27:44,100
ุงู„ุฒุฑู‚ูŠู† ุฅุฐุง ูˆุฌูˆุฏ ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ูŠู† ู‡ุฏูˆู„ ุงู„ู„ูŠ ูƒู…ุงู† ู…ุฑุฉ
410
00:27:44,100 --> 00:27:48,230
ุงุณู…ู‡ู… ู…ุด ุฎุทูŠู† ุฒุฑู‚ ุงุณู…ู‡ู… confidence limit ุงู„ู€
411
00:27:48,230 --> 00:27:51,070
confidence limits ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ significant limits
412
00:27:51,070 --> 00:27:57,710
ุชุณู…ูŠู‡ุง ูƒู…ุง ุดุฆุชู ู‡ุฏูˆู„ ุฌูˆุงู‡ู… ู†ุนุชุจุฑู‡ zero negligable
413
00:27:57,710 --> 00:28:03,550
ุฅู‡ู…ุงู„ ู†ู‡ู…ู„ู‡ ูˆูƒุฃู†ู‡ zero ุจุฑุงู‡ู… ุนุฏุงู‡ู… ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ ุฅู†ู‡
414
00:28:03,550 --> 00:28:07,150
ู…ุด zero ุนู„ู…ุŸ ู…ุนู†ุงุชู‡ ู…ุด white noise ูŠุจู‚ู‰ ุฃูŠ ุดูŠุก
415
00:28:07,150 --> 00:28:11,730
ุฌูˆุงู‡ู… ุนู„ู‰ ุงูุชุฑุงุถ ุฃู† ูƒู„ู‡ู… ุฌูˆุงู‡ู… ุฌูˆุง ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ููŠ
416
00:28:11,730 --> 00:28:15,390
ุงู„ุญุงู„ุฉ ุฏูŠ ู†ุนุชุจุฑู‡ุง white noise ู‡ุฐุง ุงู„ูƒู„ุงู… ุนู„ู‰ ุนุงู„ู…
417
00:28:15,390 --> 00:28:19,120
ุงู„ู€ sample ุทุจุนู‹ุง ููŠ ุงู„ู€ sample ุจูŠุตูŠุฑ ุงู„ุญุฏูŠุซ ุนู† ุงู„ู„ูŠ ุฃู†ุง
418
00:28:19,120 --> 00:28:22,980
ุญุงูˆู„ุช ุฃุชูƒู„ู… ุนู†ู‡ ุงู„ู„ูŠ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ auto correlation
419
00:28:22,980 --> 00:28:27,700
ุนููˆุง auto regressive of order being ู†ุชูˆู‚ุน ูŠุง ุจู†ุงุช
420
00:28:27,700 --> 00:28:33,220
ุฑุณู…ุฉ ุงู„ู€ ACF ุฃู† ุชูƒูˆู† tail off ูŠุนู†ูŠ ุฅูŠุด ุชู†ุฒู„
421
00:28:33,220 --> 00:28:39,080
exponentially decay ุชุซุจูŠุช ูŠุนู†ูŠ ุชู†ุฒู„ ูŠุนู†ูŠ ุชุซุจูŠุช
422
00:28:39,080 --> 00:28:42,540
ูŠุนู†ูŠ ููŠ ุฃูŠ ุดูŠุก ุจู†ุฒู„ ููŠู‡ ููŠ ุงู„ู‚ูŠุงู… ุจุดูƒู„ ู…ุง ู„ู‡
423
00:28:42,540 --> 00:28:49,490
exponentially ูู‡ู…ุชูˆุง .. ุฃูˆ ูŠูƒูˆู† ุนู„ู‰ ุดูƒู„ ู…ูŠู† ุงู„ู€ sign
424
00:28:49,490 --> 00:28:53,990
ุจุณ ุจุทุฑูŠู‚ุฉ ู…ุง ู„ู‡ุง ุฃูŠุถู‹ุง ุนู…ู„ู†ุงู‡ุง ุฒูŠ ุงู„ุณุงุจู‚ุฉ ู‡ู„ุฃ ุฃู†ุง
425
00:28:53,990 --> 00:28:57,770
ูƒู…ุงู† ุดูˆูŠุฉ ู‡ุงุฌูŠุจ ุนู„ู‰ ุงู„ู„ูˆุญุฉ ูˆุฃุนู…ู„ู‡ู… ูƒู„ู‡ู… ุจุณุฑุนุฉ ู…ุงุดูŠุŸ
426
00:28:57,770 --> 00:28:59,890
ุจุณ ุฃู†ุง ุญุงุจุจ ุฃู†ูŠ ููŠ ุงู„ุจุฏุงูŠุฉ ุฃุดุฑุญ ุงู„ู€ table ุงู„ู„ูŠ
427
00:28:59,890 --> 00:29:04,150
ุฃู…ุงู…ูƒู… ููŠ ุงู„ู…ู‚ุงุจู„ ุฑุณู…ุฉ ุงู„ู€ ACF ุนุฑูู†ุงู‡ุง ุงู„ู€ auto
428
00:29:04,150 --> 00:29:07,430
regressive ููŠ ุฑุณู…ุฉ ุงู„ู€ partial ACF ุชุจุน ุงู„ู€ auto
429
00:29:07,430 --> 00:29:11,930
regressive ุฅู†ู‡ ูŠูƒูˆู† ุนู†ุฏ ุงู„ู€ lag ุจูŠ ู…ูˆุฌูˆุฏุŒ ุจูŠุนุฏูŠ
430
00:29:11,930 --> 00:29:15,840
ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ูˆูƒู„ ุงู„ู„ูŠ ุฌุงุจู‡ ุทุจุนู‹ุง ูƒู„ ุงู„ู„ูŠ ุฌุงุจู‡ ูŠุนู†ูŠ
431
00:29:15,840 --> 00:29:19,560
ู…ุซู„ู‹ุง ุงู„ู€ lag B ูŠุง ุจู†ุงุช ุงู„ู€ B ุงุฑุถูˆู„ูŠ ุจุงู„ู„ู‡ ุฅู†ู‡ุง ุชู„ุงุชุฉ
432
00:29:19,560 --> 00:29:23,360
ูŠุนู†ูŠ ุนู†ุฏ ุงู„ู€ lag ูˆุงุญุฏ ู„ุงุฒู… ุฃุนุฏูŠ ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ูˆุนู†ุฏ
433
00:29:23,360 --> 00:29:27,200
ุงู„ู€ lag ุงุชู†ูŠู† ุจูŠุนุฏูŠ ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ู„ุงุฒู… ุฃุนุฏูŠู‡ู… ูˆุงู„ู„ูŠ ุฃุฏูŠ
434
00:29:27,200 --> 00:29:31,360
ุชู„ุงุชุฉ ุจูŠุนุฏูŠ .. ุจูŠุนุฏูŠ ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ุจุนุฏ ุงู„ุชู„ุงุชุฉ cut
435
00:29:31,360 --> 00:29:36,780
ูŠุนู†ูŠ ู…ุง ุจูŠุนุฏูŠุด ุฌูˆุงุช ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ู‡ุฏูˆู„ okay ุงู„ู€
436
00:29:36,780 --> 00:29:40,660
confidence limits ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุฑุณู…ุฉ ู…ุนุงู‡ูŠ ูˆุฑุณู…ุฉ
437
00:29:40,660 --> 00:29:44,200
ู…ุนุงู‡ูŠ ุงู„ุชู†ุชูŠู† ู…ุน ุจุนุถ ูˆู„ูŠุณ ูˆุงุญุฏุฉ ู…ูˆุฌูˆุฏู‡ู… ู…ุน ุจุนุถ
438
00:29:44,200 --> 00:29:49,600
ุงู„ุชู†ุชูŠู† ุงู‚ุชุฑุญ ู„ูŠ ุงู‚ุชุฑุงุญ ุฅู† ุฅูŠุดุŸ autoregression ู‡ู„ุฃ
439
00:29:49,600 --> 00:29:55,160
ุงุนูƒุณูŠ ุงู„ุขูŠุฉ ุงุนูƒุณูŠู‡ู… ุจูŠุนุทูŠู†ูŠ moving average ูŠุนู†ูŠ ู„ูˆ
440
00:29:55,160 --> 00:30:01,220
ุฃู†ุง ุฑุณู…ุช ุงู„ู€ ACF ูˆูƒุงู† ููŠ ุนู†ุฏูŠ cut ุจุนุฏ ุงู„ู€ lag Q ููŠ
441
00:30:01,220 --> 00:30:06,460
ุงู„ู…ู‚ุงุจู„ ุฑุณู…ุช ุงู„ู€ partial ูˆูƒุงู† ููŠ ุนู†ุฏูŠ tail off ุจุดูƒู„
442
00:30:06,460 --> 00:30:11,800
exponentially ุฃูˆ damped sine wave ุจุดูƒู„ sine wave
443
00:30:11,800 --> 00:30:15,450
ูŠุนู†ูŠ ููŠู‡ ุชู†ุงู‚ุต ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ุญุฏูŠุซุฉ ุจูŠูƒูˆู† ุนู† ู…ูŠู†
444
00:30:15,450 --> 00:30:20,470
ูŠุง ุจู†ุงุชุŸ ุนู† moving averageุŒ ู…ุงุดูŠ ุงู„ุญุงู„ุŸ ุฅุฐุง ุฅุญู†ุง
445
00:30:20,470 --> 00:30:23,890
ุงู„ุขู† ุนุฑูู†ุง auto regressive ูƒูŠูุŒ moving average
446
00:30:23,890 --> 00:30:27,550
ูƒูŠูุŒ ุจู‚ู‰ ูƒู…ุงู† ุดูˆูŠุฉ ุฃุนู…ู„ู‡ุงุŒ ู‡ู„ุฃ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ armaุŒ
447
00:30:27,550 --> 00:30:33,210
ุงู„ุชู†ุชูŠู† ู…ุง ููŠุด cut offุŒ ู„ุง ุงู„ู€ partial ูˆู„ุง ุงู„ู€ ACFุŒ
448
00:30:33,210 --> 00:30:36,530
ู„ุง ุงู„ู€ ACF ูˆู„ุง ุงู„ู€ partial ููŠ cut offุŒ ููŠ tail off
449
00:30:36,530 --> 00:30:38,290
ุฃูˆ ููŠ sign
450
00:30:41,110 --> 00:30:45,790
ุขู‡ ุชู†ุงู‚ุต ุฃูˆ ุชุซุจูŠุช ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ุดูƒู„ ู…ุง ู„ู‡ sign with
451
00:30:45,790 --> 00:30:49,750
ู…ูู‡ูˆู… ูŠุง ุจู†ุงุชุŸ ุฃูˆ tail of speak ู…ู† Q ู†ุงู‚ุต ุจูŠู‡ ุฏูŠ
452
00:30:49,750 --> 00:30:55,470
ู…ุง ุชุญูุธูˆู‡ุงุด ุฎู„ุงุต ุงุญูุธูˆุง ุฅู†ู‡ ู…ูŠู† tail of ูˆุจุฏูˆู† ุญุชู‰
453
00:30:55,470 --> 00:30:59,650
ู…ุง ุชู‡ุชู…ูŠ ุจุนุฏ ู…ุง ุชุฌูŠุด ู„ูƒู† ู‡ูˆ ุญู‚ูŠู‚ุฉ theoretically
454
00:30:59,650 --> 00:31:05,890
ูุงู„ู€ acf ู„ุงุฒู… ูŠูƒูˆู† tail of after ู…ูŠู† Q ู†ุงู‚ุต ุจูŠู‡
455
00:31:05,890 --> 00:31:12,130
ุจูŠู†ู…ุง ุงู„ู€ partial acf ู‡ูŠูƒูˆู† tail of after P ู†ู‚ุต Q ..
456
00:31:12,130 --> 00:31:16,130
P ู†ู‚ุต Q .. Q ู†ู‚ุต P ู…ุง ุชุญูุธูˆู‡ุงุด ุนุงุฑููŠู† ู„ูŠุดุŸ ู„ุฅู† ู‡ุฐุง
457
00:31:16,130 --> 00:31:21,730
ู†ุธุฑูŠ ููŠ ุนุงู„ู… ุงู„ุนู…ู„ .. ููŠ ุนุงู„ู… ุงู„ู€ sample ุจุตุฑุงุญุฉ ุตุนุจ
458
00:31:21,730 --> 00:31:26,230
ุญุชู‰ ููŠ ุงู„ู€ simulation ุงู„ู‚ุฑูŠุจ ุญุชู‰ ุนู„ู‰ ุนุงู„ู… ุงู„ู†ุธุฑูŠ
459
00:31:26,230 --> 00:31:30,450
ุณู†ุฌุฏ ุฅู†ู‡ ุจุฑุถู‡ ุตุนุจ ูˆู„ุฐู„ูƒ ุฃู†ุชู… ุงูู‡ู…ูˆุง ุฅูŠุด tail off
460
00:31:30,450 --> 00:31:35,790
ูˆุฅูŠุด cut off ุฃูˆ ุงูู‡ู…ูˆุง ุฅู†ู‡ ู…ุง ููŠุด ุจุงู„ู…ุฑุฉ cut ุจุชู„ุงู‚ูˆุง
461
00:31:35,790 --> 00:31:37,490
ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต
462
00:31:37,490 --> 00:31:37,610
.. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต ..
463
00:31:37,610 --> 00:31:37,830
ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต
464
00:31:37,830 --> 00:31:41,050
.. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ุชู†ุงู‚ุต .. ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ุชู†ุงู‚ุต
465
00:31:41,050 --> 00:31:43,790
exponential ุนุงุฑููŠู† ุงุณู…ู‡ุง ุงู„ู€ exponential ูˆุงุญุฏ ุนู„ู‰ ุงู„ู€
466
00:31:43,790 --> 00:31:50,150
X ุฃูˆ ุงู„ู€ sign ู…ูู‡ูˆู…ุŸ ุงู„ู„ูŠ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ random walk ูŠุง
467
00:31:50,150 --> 00:31:52,950
ุจู†ุงุชูŠ ุงู„ู„ูŠ ู‡ูŠ ุฃูƒูŠุฏ not stationary random walk
468
00:31:52,950 --> 00:31:59,390
ุจุงู„ู†ุณุจุฉ ู„ู„ู€ ACF ู„ู† ูŠูƒูˆู† ู‡ู†ุงูƒ decay ู…ูู‡ูˆู…ุŸ ูŠุนู†ูŠ ุชุฌุฏูˆุง
469
00:31:59,390 --> 00:32:02,710
ุงู„ุนู…ุฏุงู† ู…ุนุงู‡ู… ู‚ุฑูŠุจูŠู† ุฌุฏู‹ุง ุนู„ู‰ ุงู„ูˆุงุญุฏ ู…ูŠู† ุฐุงูƒุฑ
470
00:32:02,710 --> 00:32:06,230
ุงู„ู…ุญุงุถุฑุฉ ู„ู…ุง ุดุฑุญุช ุงู„ู€ random walk ุทุจูŠุนุชู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
471
00:32:06,230 --> 00:32:10,950
final ุงู„ู€ ACF ู„ู…ุง ุทู„ุนุช ููŠู‡ุง formula ูŠูˆู…ู‡ุง ูƒุงู†ุช H
472
00:32:10,950 --> 00:32:15,990
ุนู„ู‰ T ุฐุงูƒุฑูŠู†ู‡ุงุŸ ูˆุงู„ู„ู‡ ุดูƒู„ูƒู… ุฃู†ุชู… ุฐุงูƒุฑูŠู†ู‡ุง ุทู„ุนุช
473
00:32:15,990 --> 00:32:20,470
ุฌุฒุฑ ุฌุฒุฑ ูƒุฃู†ู‡ุง sigma ุชุฑุจูŠุน ุฃูˆ ู…ุง ุฃุนุฑู ุฅุฐุง ููŠ sigma
474
00:32:20,470 --> 00:32:24,830
ุชุฑุจูŠุน ูˆู„ุง ู„ุง ุจุณ ููŠ ุงู„ู…ู‚ุงู… ููŠ ุงู„ู…ู‚ุงู… ูˆุงุญุฏ ู†ุงู‚ุต H
475
00:32:24,830 --> 00:32:30,150
ุนู„ู‰ T ูˆุงู„ู€ T ู‡ูŠ ุงู„ุฒู…ู† ูˆุงู„ู€ H ู‡ูŠ ุงู„ู€ lag ู„ู…ุง ู‚ู„ุช ู„ูƒู…
476
00:32:30,150 --> 00:32:35,290
ู„ู…ุง ุชูƒุจุฑ ุงู„ู€ T ูˆุงู„ู€ H ุตุบูŠุฑุฉ ู…ู‚ุงุจู„ .. ู…ุด ุฏุงุฆู…ู‹ุง ู‡ุฐุง
477
00:32:35,290 --> 00:32:39,670
ุงู„ู…ู‚ุฏุงุฑ ุจูŠุณุงูˆูŠู‡ุง ูุฏุงุฆู…ู‹ุง ุงู„ู€ raw ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ S ูŠุนู†ูŠ
478
00:32:39,670 --> 00:32:43,890
ููŠ ุงู„ู€ raw ู‚ุฑูŠุจุฉ ู„ู„ูˆุงุญุฏ .. ุฐุงูƒุฑูŠู†ู‡ ูˆู„ุง ู†ุณูŠุชู‡ุŸ ูˆุงู„ู„ู‡
479
00:32:43,890 --> 00:32:46,330
ู…ุง ู‡ูˆ ุจุนูŠุฏ ุญูƒูŠู†ุงู‡ ุฅุญู†ุง ู…ู† ุฒู…ุงู† ูŠุนู†ูŠ ู…ุด ู…ู† ุฒู…ุงู†
480
00:32:46,330 --> 00:32:50,810
ุฌุฏูŠุฏ ู„ูŠู‡ ุตุฑุงุญุฉ ูƒุฏู‡ ุงุณู…ู‡ ุงู„ู…ุงุถูŠ ุฃุนุชู‚ุฏ ุตุญ ูุฑุณู…ุฉ ุงู„ู€
481
00:32:50,810 --> 00:32:57,190
random walk ุบุงู„ุจู‹ุง ู†ุชูˆู‚ุน ุฃู† ุชูƒูˆู† ู‚ุฑูŠุจุฉ ู„ู„ูˆุงุญุฏ ุฃูˆ ุฃู‚ู„
482
00:32:57,190 --> 00:33:01,670
ุดูˆูŠุฉ ู…ู† ุงู„ูˆุงุญุฏ ูŠุนู†ูŠ ู‡ูˆ .. ูุงู„ู€ .. ุงู„ู€ dam ู‡ู†ุง ุชุซุจูŠุช
483
00:33:01,670 --> 00:33:06,750
ุฌู„ูŠู„ ุฌุฏู‹ุง ูˆู…ุง ููŠุด cut .. ู…ุง ููŠุด ู…ูƒุงู† ูŠุณูŠ cut ูˆ
484
00:33:06,750 --> 00:33:09,470
ุชู‚ุฑูŠุจู‹ุง ูƒู„ู‡ู… ูˆุงุญุฏ ุฃูˆ ุฃู‚ู„ ุดูˆูŠุฉ ู…ู† ุงู„ูˆุงุญุฏ ุฃู‚ู„ ุจู†ุฒู„
485
00:33:09,470 --> 00:33:14,150
ู†ุฒู„ ุจุณ ู‡ูŠ ู…ุง ุจูŠู† ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ู„ู„ูˆุงุญุฏ ู…ุซู„ู‹ุง ูƒุฏู‡ ..
486
00:33:14,150 --> 00:33:18,310
ุฅุญู†ุง ู‡ุดูˆู ู†ุดูˆู ุณู…ุงุนุงุชู†ุง ุฅู† ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„ู…ู‚ุงุจู„ ูŠุง
487
00:33:18,310 --> 00:33:22,460
ุจู†ุงุช ูˆุฃู†ุง ุจุชุฑูƒ ุงู„ู€ sixersers ุนู„ูŠูƒู… ุณู‡ู„ ุชุซุจุชูˆู‡ุง ููŠ
488
00:33:22,460 --> 00:33:27,380
ุงู„ู…ู‚ุงุจู„ ุงู„ู€ random walk ุณุชุฌุฏูˆุง ุฅู†ู‡ ุนู†ุฏ ุงู„ู€ lag ูˆุงุญุฏ
489
00:33:27,380 --> 00:33:33,740
ู…ูˆุฌูˆุฏ ุจุนุฏ ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ุจุนุฏ ุงู„ู€ lag ูˆุงุญุฏ ุจูŠูƒูˆู† ุฅูŠุด
490
00:33:33,740 --> 00:33:40,940
ูƒู„ู‡ ุฃุตูุฑ ู…ุงุดูŠ ุงู„ู€ random walk ุทุจ ู„ูŠู‡ุŸ ุงู„ู€ partial ู…ุง
491
00:33:40,940 --> 00:33:43,440
ู‡ูˆ ุชุนุฑูŠู ุงู„ู€ partial ู…ุน ุฅู†ู‘ูŠ ู‚ู„ุช ู‚ุจู„ ุดู‡ุฑ ุงุจุฏุฃ ุงุชุฑูƒ
492
00:33:43,440 --> 00:33:48,560
ุญุงู„ูƒู… ุจุณ ุนู„ู‰ ุงู„ุณุฑูŠุน ุงู„ู€ partial ุดูˆ ุชุนุฑูŠูู‡ุŸ ุงู„ู€
493
00:33:48,560 --> 00:33:53,140
partial ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู…ุซู„ู‹ุง ุงู„ุงุฑุชุจุงุท ุจูŠู† ู‚ูŠู…ุฉ
494
00:33:53,140 --> 00:33:58,280
ูˆู‚ูŠู…ุฉ ุฃุฎุฑู‰ ุจุนุฏ ู…ุง ุชุนู…ู„ ุงู„ู€ remove ู„ู…ูŠู† ุงู„ู‚ูŠู… ุงู„ู„ูŠ
495
00:33:58,280 --> 00:34:02,960
ุจูŠู†ู‡ู… ุตุญ ูˆู„ุง ู„ุง ูู…ุซู„ู‹ุง ุจูŠู† ุงู„ู‚ูŠู… ุงู„ุฃูˆู„ู‰ ูˆุงู„ุณุงุฏุณุฉ
496
00:34:02,960 --> 00:34:09,400
ุจุฏูƒ ุชุนู…ู„ ุงุฑุชุจุงุทุงุช ุจุณ ุจุนุฏ ู…ุง ุดูˆ ุจุนุฏ ู…ุง ุชุญูŠุถูŠ ุฃูˆ
497
00:34:09,400 --> 00:34:13,980
ุชุฑูุนูŠ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ุจูŠู†ู‡ู… ุงู„ู„ูŠ ู‡ูŠ ู…ู† 2 ู„ู…ูŠู† ู„ู€ 5
498
00:34:13,980 --> 00:34:18,720
ุนุดุงู† ุฃู†ุง ุจุนู…ู„ ู…ู† 1 ู„ู€ 6 ูู…ู† 2 ู„ู€ 5 ุจุญูŠุถู‡ู… ุจุงู„ู†ุณุจุฉ ู„ู„ู€
499
00:34:18,720 --> 00:34:23,080
random walk ู‡ูˆ random walk ู…ุด ู‡ูˆ ุชุนุฑูŠูู‡ ู…ู† ุงู„ุฃุณุงุณ
500
00:34:23,080 --> 00:34:30,660
XT ุชุณุงูˆูŠ XT ู†ุงู‚ุต ูˆุงุญุฏ ุฒุงุฆุฏ Y ู…ุด XT ูˆุงู„ู„ูŠ ุฌุงุจู‡ XT
501
00:34:30,660 --> 00:34:34,740
ู†ุงุฌุณ ูˆุงุญุฏ ูู„ู…ุง ุจุนู…ู„ partial ุจุนู…ู„ ุจูŠู† ู…ูŠู† ูˆู…ูŠู† ุจูŠู†
502
00:34:34,740 --> 00:34:41,020
XT ูˆุงู„ู„ูŠ ุจูŠู†ู‡ู… ูˆู„ุฐู„ูƒ ุฅูŠุด ุจุชุชูˆู‚ุน ุฑุณู…ุฉ ุงู„ partial
503
00:34:41,020 --> 00:34:46,940
ู„ุฅู† ุงุณุชุนุจุชู‡ ุฃู†ู‡ ุจุณ ุจูŠู† ู…ูŠู† ูˆู…ูŠู† XT ุงูŠู‡ุŸ ูˆXT ู†ุงู‚ุต
504
00:34:46,940 --> 00:34:49,880
ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูˆ ุจูŠู†ู‡ู… ุงู„ุฒู…ู† ูˆุงุญุฏ ูุนุดุงู† ู‡ูŠูƒ ุจูŠุนุฏ ุงู„
505
00:34:49,880 --> 00:34:55,260
partial ุนู†ุฏ ุงู„ูˆุงุญุฏ ูˆู„ูƒู† ุงู„ู„ูŠ ุจู†ุงุชู‡ู… ู…ุงู„ู‡ ุฃุณูุงุฑ ููŠ
506
00:34:55,260 --> 00:35:00,500
ุดุฑุท ุจุทุงุฑูŠ ุตุญ ูˆู„ุง ู‡ุงูŠู†ุฉ ู‚ู„ุชู„ูƒูˆุง ุตุญ ูˆู„ุง .. ุทูŠุจ
507
00:35:00,500 --> 00:35:03,580
ุงุนู…ู„ูˆู‡ุง ูŠุง ุจู†ุงุช ููŠ ุจูŠุนุช ุนุงุฏุฉ ูˆ ุชุฑูˆุญูˆุง ุญุงู„ูƒูˆุง ุจุณ ุฃู†ุง
508
00:35:03,580 --> 00:35:08,740
ุนู…ู„ูŠูŠู† ู‡ุงูŠู†ุฉ ุญูƒูŠุชู‡ุง ููŠ ุฃูŠ ุณุคุงู„ ุชู‚ุจู„ ู‡ุฐุง ู‚ุจู„ ู…ุง
509
00:35:08,740 --> 00:35:13,120
ู†ุจุชุฏูŠ ู†ุญูƒูŠ ููŠ ุงู„ุฑุณู…ุงุช ูˆู†ูˆุฑูŠู‡ุง ุทูŠุจ ุฃู†ุง ุจุฏูŠ ุฃูˆุฑูŠ ุงู„ุขู†
510
00:35:13,120 --> 00:35:15,760
ุงู„ุฑุณูˆู…ุงุช ุงู„ู„ูŠ ุฃู…ุงู…ู†ุง ุจุณ ู‚ุจู„ ู…ุง ุฃูˆุฑูŠู‡ุง ุจุฏูŠ ุฃุทู„ุน
511
00:35:15,760 --> 00:35:19,480
ุงู„ู„ูˆุญ ูˆุฃุนู…ู„ูƒูˆุง ุจุดูƒู„ ุนุงู… ุงู„ summary ู„ู„ู€ table ู‡ุฐุง
512
00:35:19,480 --> 00:35:27,340
ู‡ู„ุง ุงุญู†ุง ุดูˆ ุฑุงูŠูƒูˆุง ุฃู†ุง ุจุฑุณู… ุงู„ ACF ู„ุฃู† ูˆู…ู† ุซู… ุงู„
513
00:35:27,340 --> 00:35:32,060
partial ACF ุฎู„ูŠู†ูŠ ุฃู†ุง ุนุดุงู† ุฃู†ุง ู…ุชุถุฑุจุฉ ุฑุณู…ุชูŠู† ุฌู†ุจ
514
00:35:32,060 --> 00:35:39,360
ุจุนุถ ุจุชุนู…ู„ู‡ู… ู‡ูŠ ุงู„ ACF ูˆ
515
00:35:39,360 --> 00:35:40,580
ู‡ูŠ ุงู„ partial ACF
516
00:35:45,470 --> 00:35:49,790
ู†ูŠุญุŸ ุทุจุนู‹ุง ุฃู†ุชูˆ ูุงู‡ู…ูŠู† ุฃู†ู‡ ููŠ ุนู†ุฏูƒ ุฏุงุฆู…ู‹ุง ู‡ูˆ ุจุฑุณู…
517
00:35:49,790 --> 00:35:53,230
ุงู„ confidence limits ุงู„ู„ูŠ ู‡ู… ุนุจุงุฑุฉ ุนู† ุฎุทูˆุท ู…ู‚ุทุนุฉ
518
00:35:53,230 --> 00:35:56,610
ุฎู„ูŠู†ูŠ ุฃุนู…ู„ู‡ู… ู‡ู†ุง ู…ุซู„ู‹ุง ู‡ูˆ ููˆู‚ ูˆุชุญุช ู‡ูˆ ุจุชุนุฑููŠู† ู…ูˆุฌุฉ
519
00:35:56,610 --> 00:36:01,150
ุจุซุงู„ุซ ุจุณ ุฃู†ุง ุจุฏูŠ ุฃุนู…ู„ู‡ู… ู…ุซู„ู‹ุง ูˆูŠู†ุŸ ููˆู‚ุŸ ู…ุน ุฃู† ู‡ูˆ
520
00:36:01,150 --> 00:36:04,130
ุจุงู„ุซุงู†ูŠ ุงู„ู„ูŠ ุฃุนู…ู„ู‡ู… ุชุญุชุŒ ุจุชุนุฑููŠู†ุŸ ุฎู„ูŠู†ูŠ ุฃุนู…ู„ู‡ู… ุชุญุช
521
00:36:04,130 --> 00:36:12,010
ุนุดุงู† ุฃุณู‡ู„ ุนู„ูŠู‘ ููŠ ุงู„ุฑุณู… ุตุฑุงุญุฉ ู†ูŠุญ
522
00:36:12,010 --> 00:36:15,850
ู‡ุฐู‡ ACFุŸ ุงู„ุฎุทูŠู† ุงู„ู…ุชู‚ุทุนุงุช ู‡ู…ุง ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู† ุงู„
523
00:36:15,850 --> 00:36:19,290
confidence limit ูˆุจุงู„ู…ู†ุงุณุจุฉ ุชู‚ูˆู„ ู‡ุฐู‡ ู‡ูŠ ุนุจุงุฑุฉ ุนู†
524
00:36:19,290 --> 00:36:25,190
1.96 ุนู„ู‰ ุฌุฐุฑ ุงู„ู€ n ุฃูˆ ุชุญุฏูŠุฏุง ู‡ูŠ ุฅุฐุง ุจุชุญุจูŠ 1.96 ูˆู‡ุฐู‡
525
00:36:25,190 --> 00:36:31,150
ุฅูŠุด ุจุงู„ุซุงู„ุซ ุทุจุนู‹ุง ูˆู‡ุฐู‡ 1.96 ุนู„ู‰ ุฌุฐุฑ ุงู„ู€ n ู…ุธุจูˆุท ูˆ
526
00:36:31,150 --> 00:36:33,270
ู‡ุฐู‡ ู…ุซู„ู‹ุง ุนู„ู‰ ุงูุชุฑุงุถ ู†ุฒูŠู„ุฉ ุนุงุฑููŠู† ุฃู†ู‡ ู‡ุฐุง ุงู„ุดุบู„
527
00:36:33,270 --> 00:36:38,710
ุงู„ู…ู‡ู… ูˆู‡ุฐู‡ ุจุงู„ู…ุฑุฉ ุงู„ู„ูŠ
528
00:36:38,710 --> 00:36:45,320
ู‡ู…ุง ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ู‡ูŠูƒ confidence limit ูˆู‡ุฐุง ุงู„ุขู† ุงู„
529
00:36:45,320 --> 00:36:49,400
partial case ุงู„ู„ูŠ ูŠุง ุจู†ุงุช ุงุชูˆู‚ุนูˆุง ุฃู†ุง ุทุจุนู‹ุง ู‡ุฑุณู… ูˆ
530
00:36:49,400 --> 00:36:53,720
ู‡ู…ุญูŠ ุจุณุฑุนุฉ ุนุดุงู† ุฃุฎู„ุต ุขู‡ ุงุชูˆู‚ุนูˆุง ุฃู†ู‡ ุฑุณู…ุฉ ุงู„ white
531
00:36:53,720 --> 00:36:56,260
noise ุงู„ู€ white noise ู„ูˆ ูƒุงู†ุช ุงู„ series white noise
532
00:36:56,260 --> 00:36:58,860
ุงุชูˆู‚ุนูˆุง ุงู„ุฑุณู…ุฉ ุชุทู„ุน ูƒู„ ูŠุงุชู‡ุง ุงู„ู„ูŠ ุนู†ุฏ ุงู„ lags ู‡ุฏูˆู„
533
00:36:58,860 --> 00:37:02,940
ุงู„ lags ู‡ุฏูˆู„ ุงู„ H ูŠุนู†ูŠ ุงู„ lags ุนู†ุฏ ุงู„ lag ูˆุงุญุฏ ุนู†ุฏ
534
00:37:02,940 --> 00:37:07,000
ุงู„ lag ุงุซู†ูŠู† ูˆู‡ูƒุฐุง ุงุชูˆู‚ุนูˆุง ุงู†ู‡ู… ูŠูƒูˆู† ู…ุงู„ู‡ู… ุตุบูŠุฑุฉ
535
00:37:07,000 --> 00:37:11,670
ุฃุตูุงุฑ ู‡ูŠ theory ูˆู„ูƒู† ููŠ ุญุงู„ุฉ ู…ู† ุงู„ุนูŠู†ุฉ ู„ู…ุง ุชูƒูˆู† ุนู†ุฏูƒ
536
00:37:11,670 --> 00:37:14,610
ุจูŠุงู†ุงุช ู…ุงู„ูŠุฉ ู…ุซู„ู‹ุง ุฃูˆ ุจูŠุงู†ุงุช ู…ุด ู…ุงู„ูŠุฉ ุจูŠุงู†ุงุช ุนุจุฑ
537
00:37:14,610 --> 00:37:19,550
ุงู„ุฒู…ู† ุขู‡ ูˆุทู„ุนุช ุนู…ู„ูŠู‹ุง ูƒู„ู‡ู… ู‡ูŠูƒ ู‚ูŠู… ู…ุง ุจูŠู† ุงู„ุฎุทูŠู†
538
00:37:19,550 --> 00:37:24,510
ุงู„ุฒุฑู‚ ู‡ุงู„ุญุงู„ุฉ ู…ุด ูƒูุงูŠุฉ ูˆููŠ ู†ูุณ ุงู„ูˆู‚ุช ุฃูŠุถู‹ุง ู…ูŠู† ู‡ู†ุง
539
00:37:24,510 --> 00:37:28,110
ุงู„ H ุจุฑุถู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ lag ุงู„ partial ุจูŠู† ุงู„ุฎุทูŠู†
540
00:37:28,110 --> 00:37:32,550
ุงู„ุฒุฑู‚ ุฃุตุบุฑ ู‚ูŠู… ูุงู‡ู…ูŠู†ูŠู‡ุŸ ููŠ ุญุงู„ุฉ ู…ู† ุงู„ุญุงู„ุงุช ู…ู…ูƒู†
541
00:37:32,550 --> 00:37:36,250
ูŠูƒูˆู† ู‡ุฐุง ู…ุซู„ู‹ุง ู‚ุฑูŠุจ ุฌุฏุงู‹ ุนู„ู‰ ุงู„ุฎุท ุจุณ ุงู„ู…ู‡ู… ู…ุง ูŠุนุฏูˆุด
542
00:37:36,250 --> 00:37:40,770
ูˆู…ู…ูƒู† ูŠู„ู…ุณู‡ ุขู‡ ุจู†ู‚ูˆู„ ู‡ู†ุง ููŠู‡ ุฎูˆู ุฃู†ู‡ุง ู…ุง ุชูƒูˆู†ุด
543
00:37:40,770 --> 00:37:44,410
white noise ุดูˆูŠุฉ ุดุฐูˆุฐ ุนู† ุงู„ white noise ูˆู„ูƒู† ูŠุนู†ูŠ
544
00:37:44,410 --> 00:37:47,590
ู‡ู†ุง ู‡ูŠ ุงู„ู„ูŠ ุฃู†ุง ุจูŠุตูŠุฑ ุงู„ุฃู…ูˆุฑ ุงู„ุดูƒูˆูƒ ูˆุจูŠุตูŠุฑ ุงู„ุฎุจุฑุฉ
545
00:37:47,590 --> 00:37:51,630
.. ุฎุจุฑุชูƒ ููŠ ุงู„ุชุนู„ูŠู… ูุฃู†ุชูˆุง ู…ุนุฐูˆุฑูŠู† ุฃู†ู‡ ุฃู†ุชูˆ ุชุดูƒูˆุง
546
00:37:51,630 --> 00:37:56,370
ูˆุชู„ุชุฎู…ูˆุง ุญุชู‰ ุงู„ุฎุจุฑุงุก ุจูŠุนู…ู„ูˆุง .. ูŠุนู†ูŠ ุจูŠุดูƒูˆุง ูˆ
547
00:37:56,370 --> 00:38:00,170
ุจูŠุฎุงููˆุง ูˆุจูŠุนุฑููˆุง ูˆุจูŠูƒูˆู†ูˆุง ู…ุด ู…ุชุฃูƒุฏ .. uncertain
548
00:38:00,170 --> 00:38:04,150
.. uncertain ุจุชูƒูˆู† ุฃู†ุช ูŠุนู†ูŠ .. ู…ุด .. ู…ุด .. ู…ุด ..
549
00:38:04,150 --> 00:38:08,400
ุดูˆูŠุฉ .. ู…ุด ู…ุชุฃูƒุฏุฉ ุงู„ู…ู‡ู… ูุงู‡ู…ูŠู† ู‡ู„ุฃ ุดูˆ ู‡ูŠุฏูŠ white
550
00:38:08,400 --> 00:38:12,340
noise ุฎู„ุงุต ุฃู…ุญูŠู‡ุง ู‡ู„ุฃ ุจุงู„ู…ู‚ุตูˆุฏุฉ ู‡ูŠุฏูŠ ุงู„ white noise
551
00:38:12,340 --> 00:38:15,260
ุจุฏูŠ ุฃู†ุทู‚ ู…ุจุงุดุฑุฉ ุนู„ู‰ ุงู„ random walk ุจุงู„ู†ุณุจุฉ ู„ู„
552
00:38:15,260 --> 00:38:19,960
random walk ูŠุง ุจู†ุงุช ุฃู†ุง ุฃุชูˆู‚ุน ุฑุณู…ุฉ ุงู„ ACF ุชูƒูˆู† ุนู†ุฏ
553
00:38:19,960 --> 00:38:23,820
ุงู„ lag ู‡ู†ุง ูˆุงุญุฏ ุทุจุนู‹ุง ุฑุณู…ุฉ ุงู„ ACF ุชูƒูˆู† ุนู†ุฏ ุงู„ lag zero
554
00:38:23,820 --> 00:38:29,100
ุงู„ lag zero ุชูƒูˆู† exactly ูˆุงุญุฏ ูˆุจุงู‚ูŠ ุงู„ lags ุทุจุนู‹ุง
555
00:38:29,100 --> 00:38:33,160
ู‚ุฑูŠุจ ุฌุฏุงู‹ ู„ู„ูˆุงุญุฏ ุจุณ ุฃุฌู„ุณ ุดูˆูŠุฉ ู…ู† ุงู„ูˆุงุญุฏ ูŠุนู†ูŠ ู…ุซู„ู‹ุง
556
00:38:33,160 --> 00:38:43,960
0.999 ูƒู„ู‡ู… ู‡ูŠูƒ ุจุชูˆู‚ุนุŒ ูƒู„ู‡ู… ู‚ุฑูŠุจุงุช ุฌุฏุงู‹ุŒ ูุงู„ุฏุงู…
557
00:38:43,960 --> 00:38:48,780
ุฏู‡ุงู†ุฉ ุชุซุจูŠุช ุทุจุน ุงู„ู‚ูŠู… ู‚ู„ูŠู„ ุฌุฏุงู‹ุŒ ูŠุนู†ูŠ almost ูˆุงุญุฏุŒ
558
00:38:48,780 --> 00:38:55,560
ุตุญ ููŠ ู‚ูŠู… ุจุชุชู†ุงุฒู„ุŒ ุจุณ ุฅูŠู‡ุŒ ุชู†ุงุฒู„ ุจุทูŠุก ุฌุฏุงู‹ุŒ ู…ุง ููŠุด
559
00:38:55,560 --> 00:39:00,500
ู…ู…ูƒู† ูŠูƒูˆู† cut ู‡ุฐู‡ ุฑุณู…ุฉ ุฅูŠุด ู„ุญุงู„ู‡ุง ู…ุด ูƒูุงูŠุฉ ุฃู†ู‡ุง
560
00:39:00,500 --> 00:39:04,660
ุชูƒูˆู† random walk ุจุฑูˆุญ ุนู„ู‰ ุงู„ุจุฑุดุฉ ุนู†ุฏ ุงู„ lag ูˆุงุญุฏ
561
00:39:04,660 --> 00:39:08,680
ูŠุง ุจู†ุงุช ุจุชู„ุงู‚ูˆุง ู…ุนุฏูŠ ุฎุงู†ุต ูˆุจุงู‚ูŠ ุงู„ู‚ูŠู… ู…ุงู„ู‡ู… ุนุงุฏ
562
00:39:08,680 --> 00:39:13,460
ุฃุตูุงุฑ ูŠุนู†ูŠ ุฌูˆุงุช ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ุฑุณู…ุชูŠู† ู…ุน ุจุนุถ ู‡ุฏูˆู„
563
00:39:13,460 --> 00:39:17,220
ุจู‚ุชุฑุญูˆุง ุนู„ูŠ ู…ู† random walk ุทุจุนู‹ุง ุงู„ random walk
564
00:39:17,220 --> 00:39:20,660
ู…ูˆุถูˆุน ู…ู‡ู… ุฌุฏุงู‹ ุฌุฏุงู‹ ููŠ ุงู„ stock market ููŠ ุงู„ stock
565
00:39:20,660 --> 00:39:24,060
prices ููŠ ุณุนุฑ ุงู„ุนู…ู„ุฉ ูˆุงู„ุฃุณู‡ู… ูˆุงู„ุจูˆุฑุตุฉ ูˆุงู„ุฃู…ูˆุฑ
566
00:39:24,060 --> 00:39:27,020
ู‡ุฐู‡ ูŠุนู†ูŠ ูŠุง ุจู†ุง ุณุนุฑ ุงู„ุนู…ู„ุฉ ุงู„ูŠูˆู… ูŠุนุชู…ุฏ ุงุนุชู…ุงุฏู‹ุง
567
00:39:27,020 --> 00:39:32,680
ูƒู„ูŠู‹ุง ุนู„ู‰ ุณุนุฑ ูˆู…ูŠู† ุจุงู„ุฃู…ุณ ุฒูŠ ู‡ูŠ ู…ุงุดูŠ ุงู„ุจูˆุฑุตุฉ ุงู„ูŠูˆู…
568
00:39:32,680 --> 00:39:35,780
ุจุชุนุชู…ุฏ ุนู„ู‰ ุจุงู„ุฃู…ุณ ูุงู„ stock market ุฏุงุฆู…ู‹ุง ูˆุบุงู„ุจู‹ุง
569
00:39:35,780 --> 00:39:39,200
ุจูŠุญุจ ูŠุนู†ูŠ ุญุชู‰ ูƒู„ ุงู„ู„ูŠ ุจุฏุฑุณ ุฑูŠุงุถูŠุฉ ู…ุงู„ูŠุฉ random
570
00:39:39,200 --> 00:39:41,720
walk ูŠุนู†ูŠ ู‡ูˆ ู…ุงุดูŠ ููŠ ุงู„ุดุงุฑุน ุญุงุทุท ููŠ ุฌูŠุจุชู‡ ุงู„
571
00:39:41,720 --> 00:39:45,620
random walk ู„ูŠุดุŸ ู„ุฃู† ู‡ูˆ ุฏุงุฆู…ู‹ุง ู…ุงู„ู‡ ู…ูˆุฌูˆุฏ ููŠ ูƒู„
572
00:39:45,620 --> 00:39:48,360
ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ุจูŠุชุนุงู…ู„ ู…ุนุงู‡ุง ููŠ ุญูŠุงุชู‡ ูˆู„ุฐู„ูƒ ุฅูŠู‡ ู‡ูˆ
573
00:39:48,360 --> 00:39:53,410
ุฃู‡ู…ูŠุชู‡ ุงู„ุฎุงุตุŸ ุทูŠุจ ุจุงู„ู†ุณุจุฉ ู„ู€ .. ุงู„ุขู† ุฃู†ุง ุจุชุทุฑู‚ ุงู…ุญูŠ
574
00:39:53,410 --> 00:39:58,130
ุนุงุฏุฉ ุฃุจู„ุด ุฃุญูƒูŠ ุนู† ุฑุณู…ุฉ ุงู„ ACF ูˆุงู„ BACF ู„ู…ู†ุŸ ู„ู„
575
00:39:58,130 --> 00:40:03,070
auto-regressive ู„ู„ู€ AR ูŠุนู†ูŠ ู„ู„ู€ AR model ูˆู„ู€ moving
576
00:40:03,070 --> 00:40:08,830
average ุจุงู„ู†ุณุจุฉ ู„ู„ู€ AR auto-regressive ูŠุนู†ูŠ .. ุงู„ุขู†
577
00:40:08,830 --> 00:40:11,910
ุฃู†ุง ุจุญูƒูŠ ุนู† ุงู„ auto-regressive ูุฃู†ุง ุจุชูˆู‚ุน ุฃู† ุงู„
578
00:40:11,910 --> 00:40:14,610
partial ู…ุซู„ู‹ุง auto-regressive ูŠุง ุจู†ุงุช ู…ุซู„ู‹ุง ู…ู† ุนู†ุฏูŠ
579
00:40:14,610 --> 00:40:19,690
auto-regressive of order ู…ุซู„ู‹ุง ุซู„ุงุซุฉ ูุจุชูˆู‚ุน ุฑุณู…ุฉ ุงู„
580
00:40:19,690 --> 00:40:25,790
partial ุฃู†ู‡ ุฃู†ู‡ ุนู†ุฏูŠ lag ูˆุงุญุฏ ู…ุนุฏูŠ ุนู†ุฏูŠ lag ุงุซู†ูŠู†
581
00:40:25,790 --> 00:40:28,810
ู…ุซู„ู‹ุง ู…ู…ูƒู† ู…ุนุฏูŠ ู‡ุงู† ูˆุนู†ุฏูŠ lag ุซู„ุงุซุฉ ู…ู…ูƒู† ูŠูƒูˆู† ุณุงู„ุจ
582
00:40:28,810 --> 00:40:33,990
ุจุงู„ู…ู†ุงุณุจุฉ ุจุณ ุงู„ู…ูˆุงู…ุฑ ู…ุนุฏูŠุงุช ู…ุงุดูŠ ู…ู…ูƒู† ูˆุงุญุฏ ู…ู†ู‡ู…
583
00:40:33,990 --> 00:40:37,290
ู…ูˆุฌุจ ูˆุงู„ุซุงู†ูŠ ุณุงู„ุจ ูˆู‡ูƒุฐุง ุงู„ู…ู‡ู… ู…ุนุฏูŠุงุช ุซู… ุจุงู‚ูŠ ุงู„
584
00:40:37,290 --> 00:40:41,970
lags ู…ุงู„ู‡ู… ุฃุตูุงุฑ ู‡ุฐู‡ ู„ุญุงู„ู‡ุง ู…ุด ูƒูุงูŠุฉ ุฃู†ู‡ุง ุชู‚ุชุฑุญ
585
00:40:41,970 --> 00:40:47,080
ู„ู…ูŠู† auto-regressive ู„ุงุฒู… ุฃุทู„ุน ุนู„ูŠู‡ ุฑุณู…ุฉ ู…ูŠู† ุงู„ู€
586
00:40:47,080 --> 00:40:50,240
ACF in general ู„ุงุฒู… ุชูƒูˆู† ู‡ูŠูƒ ุดูƒู„ ุงู„ lags ุงู„ู„ูŠ ุนู†ุฏูŠ
587
00:40:50,240 --> 00:40:56,780
ุดุงูŠููŠู† ูƒู…ุงู† ู…ุฑุฉ exponential decay ูู…ุซู„ู‹ุง ุนู†ุฏูŠ lag
588
00:40:56,780 --> 00:41:00,860
ู‡ู†ุง ุทุจุนู‹ุง lag zero ู…ุนุฑูˆู ุฃู†ู‡ ูˆุงุญุฏ ุนู†ุฏูŠ lag ูˆุงุญุฏ ู‡ู†ุง
589
00:41:00,860 --> 00:41:07,200
ูˆ lag ุงุซู†ูŠู† ู‡ู†ุง ูˆู‡ูƒุฐุง ุจุชู„ุงู‚ูˆุง ุชู†ุงู‚ุต ู…ุงู„ู‡ ุจุดูƒู„ ู‡ุฐุง
590
00:41:07,200 --> 00:41:10,840
ู‡ุฐุง ุงู„ theory ู…ู† ู†ุงุญูŠุฉ ุงู„ู„ูŠ ููŠ ุนุงู„ู… ุงู„ู€ .. ุนุงู„ู… ุงู„ู€
591
00:41:10,840 --> 00:41:14,700
sample ู…ู…ูƒู† ู‡ุฐูŠ ุชูƒูˆู† ู†ุงุฒู„ุฉ ู‡ูŠูƒ ุดูˆูŠุฉ ู…ู…ูƒู† in
592
00:41:14,700 --> 00:41:19,380
general ู„ูƒู† ู…ู…ูƒู† ุชู„ุงู‚ูŠ ุฑุณู…ุฉ ุซุงู†ูŠุฉ ูŠุง ุจู†ุงุช ุฃู†ู‡
593
00:41:19,380 --> 00:41:25,480
ุชู„ุงู‚ูˆู‡ุง ุฅูŠุด ุนู„ู‰ ุดูƒู„ ุงู„ sign ู‡ูŠูƒ ุทุงู„ุนุฉ ุทุจุนู‹ุง ุฃู† ุฃู†ุชูˆ
594
00:41:25,480 --> 00:41:29,260
ุนุงุฑููŠู† ู‡ุฐู‡ ู‡ูŠ ุฏูŠ ุฅูŠุด ุจูŠูƒูˆู† ุงู„ lags ู‡ุฏูˆู„ ู…ุนุงู‡
595
00:41:29,260 --> 00:41:35,580
ุฃู†ุชูˆุง ูุฑุณู…ุฉ ุฒูŠ ู‡ุฐู‡ ุณูˆุงุก ูƒุงู† sign wave ููŠู‡ damped
596
00:41:35,580 --> 00:41:39,800
ููŠู‡ ุชู†ุงู‚ุต ุจุณ ุงู„ุชู†ุงู‚ุต ู…ุงู„ู‡ ุจุดูƒู„ ุงู„ sign ุฃูˆ
597
00:41:39,800 --> 00:41:45,900
exponential ุฒูŠ ู‡ูŠูƒ ู…ุน ุฑุณู…ุฉ ุงู„ partial ู‡ูˆ ุจูŠุนุทูŠู†ูŠ
598
00:41:45,900 --> 00:41:49,940
meaning autoregressive ุฃุนูƒุณ ุงู„ุขูŠุฉ ุญุท ุงู„ุฑุณู… ุงู„ู„ูŠ
599
00:41:49,940 --> 00:41:55,320
ู‡ู†ุง ุชุจุนูƒ ุงู„ partial ุญุทูŠู‡ุง ุนู„ู‰ ุฃู†ู‡ุง ู‡ูŠ ACF ูˆุฑุณู… ุงู„
600
00:41:55,320 --> 00:41:59,420
ACF ุญุทูŠู‡ุง ุนู„ู‰ ุฃู†ู‡ุง moving average ุนููˆุงู‹ ุนู„ู‰ ุฃู†ู‡ุง
601
00:41:59,420 --> 00:42:04,380
partial ุจูŠุตูŠุฑ moving average ุชู…ุงู…ุŸ ู…ุง ููŠุด ุฏุงุนูŠ ุฃุนู…ู„
602
00:42:04,380 --> 00:42:10,020
ูˆุฎู„ุงุต ูˆุงุถุญุฉ ุงู„ู„ูŠ ู‡ูˆ ุฑุณู…ุฉ ุงู„ ุฑุณู…ุฉ ุงู„ุชู†ุชูŠู† ุฒูŠ
603
00:42:10,020 --> 00:42:16,240
ุฑุณู…ุฉ ุงู„ sign ุฃูˆ ุงู„ decay of ุฒูŠ ู‡ุงุช ูู„ู…ุง ุชุฑุณู… ู‡ู†ุง ูˆ
604
00:42:16,240 --> 00:42:20,460
ุชุฑุณู… ุงู„ุซุงู†ูŠุฉ ุงู„ุชู†ุชูŠู† ู„ุงุฒู… ูŠูƒูˆู†ูˆุง ุดุจูŠู‡ุงุช ู…ุน ุจุนุถ ู…ูู‡ูˆู…
605
00:42:20,460 --> 00:42:25,560
ูˆู…ุด ุดุฑุท ูŠูƒูˆู†ูˆุง ุงู„ุชู†ุชูŠู† ุฒูŠ ุจุนุถ ุจุงู„ู…ู†ุงุณุจุฉ ู…ู…ูƒู† ุชูƒูˆู†
606
00:42:25,560 --> 00:42:29,840
ูˆุงุญุฏุฉ DK ูˆูˆุงุญุฏุฉ sign ูˆู…ู…ูƒู† ุชูƒูˆู† ุตุนุจ ุนู„ูŠูƒู…
607
00:42:29,840 --> 00:42:34,620
ุชุดูˆููˆุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชู†ุงู‚ุต ุงู„ sign ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ู…ุซู„ู‹ุง ุงู„
608
00:42:34,620 --> 00:42:38,240
exponential DK ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชู†ุงู‚ุต ุตุนุจ ูŠุนู†ูŠ
609
00:42:38,240 --> 00:42:42,150
ุชุฑุณู…ูˆู‡ุง ูุนู„ู‹ุง ุจุชู„ุชุฎู…ูˆุง ูˆู‡ุฐุง ุจูŠุตูŠุฑ ุทุจุนู‹ุง ุนุงุฏูŠ ู…ุง ููŠุด
610
00:42:42,150 --> 00:42:47,450
ููŠู‡ุง ู…ุดูƒู„ุฉ ูุจุชุตูŠุฑ ุงู„ู…ู„ุงุญุธุฉ ูˆู…ู† ู‡ู†ุง ุฃู†ุง ู…ุง ุนู‚ุฏ ุฃุนุชู‚ุฏ
611
00:42:47,450 --> 00:42:51,690
ู‡ุฏูˆู„ ุงู„ูŠู‡ ูˆู…ู† ู‡ู†ุง ุจุชูŠุฌูŠ ุงู„ุฎุจุฑุงุช ูˆู…ู† ู‡ู†ุง ุฃู†ุช
612
00:42:51,690 --> 00:42:55,670
ุจุชุนู…ู„ูŠุด fitting ู„ู€ model ูˆุงุญุฏ ุจุชุนู…ู„ูŠ ุฃูƒุชุฑ ู…ู† model
613
00:42:55,670 --> 00:43:00,350
ุฅู†ูƒ ุดุงูƒุฉ ุทูŠุจ ู‡ุฐุง ุงู„ simulation ู„ู€ perfect ูŠุนู†ูŠ
614
00:43:00,350 --> 00:43:05,410
situations ูู…ุซู„ู‹ุง ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุนู†ุฏูŠ ุฃู†ุง ู‡ู†ุง ุงุนู…ู„
615
00:43:05,410 --> 00:43:11,240
autoregressive order ูˆุงุญุฏ ูˆุงู„ู„ู‡ ุงู„ู€ .. ุงู„ูˆุฌุฏ ุฃุฏุฑูƒู†ูŠ
616
00:43:11,240 --> 00:43:16,140
ู…ุง ููŠ ูˆุฌุฏ ูƒุซูŠุฑ ุถุงูŠู‚ ุงู„ู…ุดูƒู„ุฉ
617
00:43:16,140 --> 00:43:18,720
ุฃู†ู‡ ุฑุงุจุท ุงู„ู…ุญุงุถุฑุฉ ู‡ุฐู‡ ู…ุน ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠุฉ ุจูŠุตูŠุฑ
618
00:43:18,720 --> 00:43:25,660
ุจุงูŠุฎ ู„ุฅู†ู‡ ุนู…ู„ูŠู‹ุง ุงู„ู…ูˆุถูˆุน ุดุจู‡ ุฎู„ุต ุตุญุŸ ูˆู‡ุฐุง ุนู…ู„ูŠู‹ุง ุฅู†
619
00:43:25,660 --> 00:43:29,460
ุฅุญู†ุง ุนู…ู„ู†ุงู‡ ู…ุง ุจุนุฑู ุฃู…ุฑ ุนู„ูŠู‡ู… ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุจุณุฑุนุฉ
620
00:43:29,460 --> 00:43:34,740
ุดุฏูŠุฏุฉ ูˆุฎู„ุตู†ุง ุขู‡ุŸ ุนู„ู‰ ุงูุชุฑุงุถ ุฅู†ู‡ ุฅุญู†ุง ู…ุบุทูŠู†ู‡ู… ุทุจุนู‹ุง
621
00:43:34,740 --> 00:43:38,820
ุงู„ุฑุณู… ู‡ุฐู‡ ู„ู„ season ุฎู„ุงุต ุจู‚ุนุฏุชูƒู… ูŠุนุทูŠูƒูˆุง ู„ู‡ุง
622
00:43:38,820 --> 00:43:39,460
ูุงุนู„ูŠุฉ ุงู„ูŠูˆู