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1
00:00:20,890 --> 00:00:24,110
ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ุจู†ุงุช

2
00:00:24,110 --> 00:00:28,610
ู‡ู†ุจู„ุด ููŠ ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุจุฏุฃู†ุง ููŠู‡ ุงู„ู…ุญุงุถุฑ ุงู„ุณุงุจู‚

3
00:00:28,610 --> 00:00:31,550
ุงุนุทูŠู†ุง ุฏู‚ูŠู‚ุฉ ุจุฏุงูŠุฉ .. ู†ู‡ุงูŠุฉ ุงู„ู…ุญุงุถุฑ ุงู„ุณุงุจู‚ุฉ

4
00:00:31,550 --> 00:00:36,270
ุงู„ุจุฏุงูŠุฉ ุนู†ู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ box Jenkins approach ู„ ุงู„ู„ูŠ

5
00:00:36,270 --> 00:00:39,570
ู‡ูˆ ุงู„ ARMA model ูƒูŠู ูŠุนู†ูŠ ุงุญู†ุง ู…ู…ูƒู† ุงู†ู‡ ู„ูˆ ูƒุงู†

6
00:00:39,570 --> 00:00:43,270
ุนู†ุฏู†ุง ุจูŠุงู†ุงุช ุชุชุนู„ู‚ ุจุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ู‚ุฑุฑู†ุง ุงู†ู‡ ุงุญู†ุง

7
00:00:43,270 --> 00:00:46,770
ููŠ ุงู„ู†ู‡ุงูŠุฉ ู†ุนู…ู„ ุชุญู„ูŠู„ ู„ุฅู„ู‡ุงูุตุฑุงุญุฉ ุฏูˆู„ ุงู„ู†ุงุณ ุงู„ู„ูŠ

8
00:00:46,770 --> 00:00:49,590
ู‡ู… ุงู„ box ูˆ ุงู„ Jenkins ุนู…ู„ูˆุง methodology ุทุฑูŠู‚ุฉ ู…ุง

9
00:00:49,590 --> 00:00:54,170
ุ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„ ุงู„ุฒู…ู†ูŠุฉุŒ ุงู„ุณู„ุณู„ ุงู„ุฒู…ู†ูŠุฉ ุงู‚ุตุฏ ูŠุนู†ูŠุŒ ุนุดุงู†

12
00:01:00,030 --> 00:01:03,770
ู…ุชุณู„ุณู„ุงุช ุฒู…ู†ูŠุฉุŒ ูู‡ุฐู‡ ุงู„ู…ุฑุงุญู„ ุงู„ุชู„ุงุชุฉ ุงู„ู„ูŠ ุงุฎุชุฑุญูˆู‡ุง

13
00:01:04,560 --> 00:01:08,120
ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ุฃู…ุงู…ูƒูˆุง ุงู„ุขู† ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ุงู„ู„ูŠ ู‡ูŠ

14
00:01:08,120 --> 00:01:11,860
ู…ุฑุญู„ุฉ ุงู„ identification ู„ู„ model ุงู†ุญุฏุฏ ุงู„ู„ูŠ ู‡ูˆ ู…ู†

15
00:01:11,860 --> 00:01:16,660
ุฎู„ุงู„ ุงู„ุฑุณู… ุดูˆ ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ model ูุทุจุนุง ุงู„ู…ุฑุญู„ุฉ

16
00:01:16,660 --> 00:01:21,620
ุงู„ุฃูˆู„ู‰ ุงู„ู…ุชุนู„ู‚ุฉ ุจุงู„ identificationุจุชู… ููŠ ุฎู„ุงู„ู‡ุงุŒ

17
00:01:21,620 --> 00:01:25,700
ู‡ุง ูŠู‚ูˆู„ ุงู„ุขู†ุŒ ุงู„ู„ู‡ู… ุตู„ ุนู„ู‰ ุณูŠุฏู†ุง ู…ุญู…ุฏุŒ ุงุญู†ุง ุทุจุนุง

18
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 ู…ุงููŠุด stationaryุŒ ููŠ

20
00:01:33,960 --> 00:01:38,940
outliersุŒ outliers ูŠุนู†ูŠ ู…ู†ู‡ุง ุชู„ู‚ูŠู‡ุง ู…ุด ุดุงุฒุฉ ูŠุนู†ูŠููŠ

21
00:01:38,940 --> 00:01:44,660
ู…ุซู„ุง trend ููŠ ุนู†ุฏูƒ seasonality ุงู„ุงุฎุฑู‰ุ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„ุชุงู†ู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ูˆู‹ุง ุจู†ุนู…ู„ู‡ detrend ูˆ

26
00:01:57,220 --> 00:02:00,740
ู‡ูƒุฐุงูˆ ู…ู† ุซู… ู…ู† ุงู„ู…ุฑุญู„ุฉ ุงู„ุชุงู†ู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 ุงูˆ autoregressive ุงูˆ 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
ู…ูŠุฎุชุงุฑุด ุบุงู„ุจุง model ูˆุงุญุฏ ู†ุฎุชุงุฑ ุนุฏุฉ models ู„ูŠุดุŸ

32
00:02:15,060 --> 00:02:19,320
ู„ุฃู†ู‡ ุจู†ูƒูˆู† ุดูƒูŠู† ู…ุง ุจูŠู† ุงุชู†ูŠู† ุชู„ุงุชุฉ ู‚ุฏ ูŠูƒูˆู† ู‡ุฐุง ู‚ุฏ

33
00:02:19,320 --> 00:02:22,350
ูŠูƒูˆู† ู‡ุฐุงูุจู†ุนู…ู„ู‡ู… .. ุจู†ุนู…ู„ู‡ู… fit ูˆ ุจู†ุ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„ูŠุงุชูˆุฑุฉ ุงู„ู„ูŠ ุงุญู†ุง

36
00:02:29,750 --> 00:02:33,730
ุนู…ู„ู†ุงู„ู‡ ุงู„ู„ูŠ ู‡ูˆ fitting ูˆ estimation ูƒูˆูŠุณ ู…ุด ูƒูˆูŠุณ

37
00:02:33,730 --> 00:02:37,210
ูˆ ุจู†ุฎุชุงุฑ ุจุทุจุนุง ุจุงู„ุงุฎูŠุฑ ูˆุงุญุฏ ู…ู†ู‡ู…ู…ู† ุชู„ุงุชุฉ ุงุฑุจุน

38
00:02:37,210 --> 00:02:40,990
model ุงุฎุชุงุฑุชูŠู‡ู… ู†ุงุดูŠ ุจู†ุฎุชุงุฑ ุงู„ criteria ู…ุนูŠู†ุฉ ููŠ

39
00:02:40,990 --> 00:02:45,410
ุงุณู… ุงู„ AIC ูˆ ุงู„ BIC ู†ุงุดูŠ ูุจุชุญุฏุฏ ู„ู…ูŠู† ุงูุถู„ model

40
00:02:45,410 --> 00:02:48,390
ู…ู…ูƒู† ุงู† ุงู†ุ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 ู…ู‚ุฏุณ ูˆ ู„ุฐู„ูƒ

42
00:02:52,490 --> 00:02:55,370
ุงู„ model ุงู„ู„ูŠ ุงู†ุช ุจุชุฌูŠุจูŠู‡ ูƒู„ ุงู„ู„ูŠ ุจุชู‚ูˆู„ ุนู†ู‡ ุงู† ู‡ุฐุง

43
00:02:55,370 --> 00:02:58,810
ุงู„ model ูŠุนุชุจุฑ ุฌูŠุฏ ู„ู…ูŠู† ู„ู„ุชู‚ุฏูŠุฑ ู„ุฃู†ู‡ ููŠ ุงู„ู†ู‡ุงูŠุฉ

44
00:02:58,810 --> 00:03:02,650
ู…ุญุตู„ุฉ ุงู„ู†ู‡ุงุฆูŠุฉ ุงู„ู„ูŠ ุจุฏูŠ ุงูŠุงู‡ุง ู„ู„ุชู‚ุฏูŠุฑูู‚ุฏ ูŠู‚ุฏุฑ

45
00:03:02,650 --> 00:03:06,230
ูŠุญุชุงุฌ ุฅู†ุณุงู† ุขุฎุฑ ูˆูŠู‚ูˆู„ ุงู„ model ุงู„ู„ูŠ ุงู†ุช ุฌุจุชูŠู‡

46
00:03:06,230 --> 00:03:09,790
ุตุฑุงุญุฉ ุงู†ุง ุนู†ุฏูŠ model ุชุงู†ูŠ ุฃุญุณู† ู…ู†ู‡ุŒ ูุจู‚ูˆู„ู‡ ู…ุงุดูŠ

47
00:03:09,790 --> 00:03:12,770
ูˆุงุฑูŠู†ูŠ ุงู„ model ุงู„ุชุงู†ู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 ุงู†ุช ุนู…ู„ุช ุฃุญุณูŠู†ุŒ ู…ุงุดูŠุŒ

50
00:03:19,410 --> 00:03:22,430
ูุฎู„ูŠู†ูŠ ุฃุฑูˆุญ ู…ุน ุงู„ model ุชุจุนูƒู…ุด ุงู„ู…ูˆุฏูŠู„ ุงู„ู„ูŠ ุฃู†ุง

51
00:03:22,430 --> 00:03:25,770
ุฌุจุชู‡ ูˆ ุญุชู‰ ุงู„ู„ูŠ ุชูŠุฌูŠ ุงุญุชุงุฌ ุนู„ูŠุง ูˆ ุนู„ูŠุง ูˆ ุงุนุทุงู†ุง

52
00:03:25,770 --> 00:03:29,730
ู…ูˆุฏูŠู„ ุฌุฏูŠุฏุŒ ุงุฐุง ุงุญู†ุง ู‡ู†ุง ู…ุด ู…ู‚ุฏุณ ุงู„ู…ูˆุฏูŠู„ ุงู„ู„ูŠ ุงุญู†ุง

53
00:03:29,730 --> 00:03:33,470
ุจู†ุฌูŠุจู‡ุŒ ูƒู„ ู…ุง ููŠ ุงู„ุฃู…ุฑ ุจู†ุฌูŠุจ ู…ูˆุฏูŠู„ุŒ ูƒู„ ู…ุง ููŠ ุงู„ุฃู…ุฑ

54
00:03:33,470 --> 00:03:37,790
ู†ุซุจุช ุฃู† ู‡ุฐุง ุงู„ู…ูˆุฏูŠู„ ุฌูŠุฏุŒ ู‚ุฏุงุด ู†ู‚ุฏุฑ ู†ุญุณู†ุŒ ุงู‡ ุจูƒูˆู†

55
00:03:37,790 --> 00:03:42,720
ุฃูุถู„ุŒ ุฃูู‡ู…ุŸูˆ ู‡ุฏุง ู‡ูŠ ุงู„ุงุญุตุงุฆูŠ ุจุดูƒู„ ุนุงู… ุจุงู„ู…ู†ุงุณุจุฉ

56
00:03:42,720 --> 00:03:45,280
ุทุจุนุง ุงู„ algorithm ู‡ุฐุง ู…ุฑุณูˆู… ููŠ ุงู„ floor chart ุงู„ู„ูŠ

57
00:03:45,280 --> 00:03:49,500
ุฃู…ุงู…ูƒู… ูƒูŠู ุงู„ู„ูŠ ู‡ู… ุงู„ jenkins ูˆ box ู…ุน ุจุนุถ ุงุฎุชุฑุญูˆุง

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… ู†ุฑุณู… ุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉุจุนุฏ ู…ุง ู†ุฑุณู… ุงู„ุณู„ุณู„ุฉ

60
00:03:57,810 --> 00:04:01,510
ุงู„ุฒุฑู…ุงู†ูŠุฉ ุจู†ุชุทู„ุน ุนู„ูŠู‡ุง ุทุจุนุง ุชู‚ุฏูŠุฑ ุงู„ุดุฎุต ู„ุฅู†ุง ุ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
ุงู‡ ูŠุง ู„ุฃ ุฅุฐุง yes ุฅุฐุง stationary ุจู†ุฑูˆุญ ุนู„ู‰ ู…ุฑุญู„ุฉ ุงู„

63
00:04:09,010 --> 00:04:13,090
estimation ู„ู…ูŠู†ุŸ ู„ู„ู…ุฏู† ุฃูˆ ุงู„ุฌุจู„ ุนููˆุง ุจู†ุนู…ู„ ุนููˆุง

64
00:04:13,090 --> 00:04:17,310
ู†ุฌุจู„ ุงู„ estimation ู†ุชุฃุซุฑ ุงู‡ ุจู†ุฑูˆุญ ูˆ ุจู†ุญุฏุฏ ุงู‡ ุงู„ู„ูŠ

65
00:04:17,310 --> 00:04:21,870
ู‡ูˆ ูŠุง ุชุฑู‰ ู…ู† ุฎู„ุงู„ ุงู„ ACF ูˆ ุงู„ PACF ู…ู† ุฎู„ุงู„ ุงู„ auto

66
00:04:21,870 --> 00:04:25,530
correlation function ูˆ ุงู„ partial auto correlation

67
00:04:25,530 --> 00:04:29,710
functionุจู†ุญุฏุฏ ุงู„ู„ูŠ ู‡ู… ู…ูŠู† ุงู„ orders ุชุจุนูˆู† ุงู„ armor

68
00:04:29,710 --> 00:04:32,950
ุทุจุนุง ุจุนุฏ ู…ุง ู†ุชุฃูƒุฏ ุฅู†ู‡ุง stationary ูุฅุฐุง stationary

69
00:04:32,950 --> 00:04:37,370
ุจู†ุฑูˆุญ ุนู„ู‰ ุฅู†ู‡ ุชุญุฏูŠุฏ ุงู„ orders ุงู„ P ูˆ ุงู„ Q ู‡ุฏูˆู„ุฉ

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 stationary ู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
differencingูˆ ุฃุญูŠุงู†ุง ุงู„ log ุฃู†ุช ุจุชุนุฑูู‡ ููŠ

74
00:04:53,950 --> 00:04:57,090
ุงู„ุฑูŠุงุถูŠุงุช ุงู„ exponential function ู…ุด exponential

75
00:04:57,090 --> 00:05:01,750
.. ุงู„ exponential ู…ุนู‚ูˆุณู‡ ุงู„ log ู…ุด ุจูŠุฎู„ูŠู‡ ุงู„ู„ูŠ ู‡ูˆ

76
00:05:01,750 --> 00:05:05,990
constant ุจุทุฑูŠู‚ุฉ ุฃูˆ ุจุงุฎุฑู‡ ู…ุด ู…ุนู‚ูˆุณุงุช ู„ุจุนุงู‡ ูุ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„ู…ุŒ ู…ูู‡ูˆู…ุŸูู„ู…ุง ุชูƒูˆู† ู‚ูŠู… ุงู„ู„ูŠ

80
00:05:17,760 --> 00:05:22,160
ุนู†ุฏูƒ ุงู„ุขู† ุงู„ log ุจุธุจุทู„ู‡ุง ูˆ ุจูŠุฎู„ูŠู‡ุง ุงู„ุฑุณู… ุงู„ุฃูˆู„ ุงู†

81
00:05:22,160 --> 00:05:25,080
ู‡ูŠ ูƒุงู†ุช exponential ูุงู„ log ุจูŠุฎู„ูŠู‡ุง ู…ุงู„ู‡

82
00:05:25,080 --> 00:05:29,220
stationary ุฃุญูŠุงู†ุง ู…ูู‡ูˆู… ูˆ ุฃุญูŠุงู†ุง ุงู„ differencing

83
00:05:29,220 --> 00:05:33,720
ุทุจุนุง ุจุงู„ู…ู†ุงุณุจุฉ ุงู„ุฑุณู… ู„ุญุงู„ู‡ ู…ุด ูƒูุงูŠุฉ ุงู†ู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 filler test ูˆ ุงู„ุงุฎุฑูŠู† ูˆ ููŠ tests ุฃุฎุฑู‰

86
00:05:40,260 --> 00:05:43,280
ุบูŠุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ dick ูˆ ุงู„ filler ุจุณ ููŠ ู…ุงุฏุชู†ุง ุดุฑุญู†ุง

87
00:05:43,280 --> 00:05:47,520
dick ู…ูŠู† ูˆ filler ู…ุธุจูˆุท ูŠุง ุจู†ุงุชุŸูˆู„ูƒู† ุบุงู„ุจุง ููŠ ู†ุงุณ

88
00:05:47,520 --> 00:05:51,700
ุจูŠู‚ูˆู„ูƒ ุงู†ู‡ ุฎู„ุงุต ุงู„ุฑุณู… ุงู†ุง ุจุนุฑู ู…ู†ู‡ ุ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† ู…ุฑู‡ ุจู†ุฑุณู… ู…ูŠู† ุจู†ุฑุณู… ุงู„

91
00:05:57,800 --> 00:06:03,160
differencing ุงูˆ ุงู„ log ุงู„ู…ูู‡ูˆู… ู‡ู†ุงูƒ ูˆ ุจุนุฏ ู…ุ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
ูŠุงุชูˆู„ุง stationary ูˆู„ุง ู…ุด stationary ุงู‡ ุงุฐุง

94
00:06:10,200 --> 00:06:12,400
stationary ุจู†ุฑูˆุญ ู„ู‡ุฐู‡ ุงู„ุฎุทูˆุฉ ู„ูˆ ู…ุด stationary

95
00:06:12,400 --> 00:06:16,400
ุจู†ุนู…ู„ ูƒู…ุงู† ู…ุฑุฉ differencing ุงู„ู…ู‡ู… ุจุงุฎุชุตุงุฑุฃูˆ ุจู†ุงุฎุฏ

96
00:06:16,400 --> 00:06:20,200
ุงู„ู„ุบุฉ ุงุฎุชุตุงุฑ ุจุฏู†ุง ู†ุฎู„ูŠู‡ุง ู…ูŠู† stationary ูƒุฎุทูˆุฉ ุฃูˆู„ู‰

97
00:06:20,200 --> 00:06:24,200
ูŠุนู†ูŠ ู‚ุจู„ ู…ุง ุฃุฑูˆุญ ุงู„ R ู…ุงู…ูˆุฏู„ ู„ุงุฒู… ุฃุฎู„ ุงู„ series

98
00:06:24,200 --> 00:06:27,920
ู…ุงู„ู‡ stationary ู…ู† ุงู„ุฑุณู… ูˆ ู…ู† ุงุฎุชุจุงุฑุงุช ุชุจุนุชูŠ ุงู„ู„ู‰

99
00:06:27,920 --> 00:06:32,640
ู‡ู‰ ุฏูƒ ูˆ ูู„ุง ู…ุงุดูŠ ุทุจุนุง ูู‰ ุบูŠุฑ ุฏูƒ ูˆ ูู„ุง ุงู„ู„ู‰ ุจุนุฏ ู…ุง

100
00:06:32,640 --> 00:06:36,240
ุนู…ู„ู†ุง identification ู„ู…ูŠู† ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ุทุจุนุง ูู‰

101
00:06:36,240 --> 00:06:40,680
ุงู„ู…ุฑุงุญู„ ุงู„ุชู„ุงุชุฉ ุงู†ุง ู…ุงุฒู„ ูู‰ ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ูู‰

102
00:06:40,680 --> 00:06:46,120
ุงู„ู…ุฑุญู„ุฉ ุงู„ู„ู‰ ู‡ูˆ ู…ูŠู† ุงู„ identification ุชุญุฏูŠุฏูุจู†ุญุฏุฏ

103
00:06:46,120 --> 00:06:50,100
ุงู„ู„ูŠ ู‡ูˆ ุงู„ orders P ูˆ Q ู†ุญู† ุ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…ู„ูˆู‡ู… ุงุณุชู…ุงุญูŠุฉ

106
00:06:57,300 --> 00:07:01,720
ู„ู„ู…ูˆุฏูŠู„ ู†ุญู† ุจุชุนู…ู„ูˆุง ุงุณุชู…ุงุญูŠุฉ ู„ู„ู…ูˆุฏูŠู„ ุทุจุนุง

107
00:07:01,720 --> 00:07:04,840
ุจุงู„ู…ู†ุงุณุจุฉ ุงู„ auto-regressive ุงุญู†ุง ุฃุฎุฏู†ุง ูƒูŠู ู†ุนู…ู„ู‡

108
00:07:04,840 --> 00:07:08,280
ุงุณุชู…ุงุญูŠุฉ ู…ู† ุฎู„ุงู„ ู…ูŠู† ุงู„ yule wall curriculum ู…ุตุจูˆู†

109
00:07:08,280 --> 00:07:10,920
ุงู„ yule wall curriculum ุจูŠุนู…ู„ูˆุง ุงุณุชู…ุงุญูŠุฉ ู„ู„ auto

110
00:07:10,920 --> 00:07:14,120
-regressive ูู‚ุทูˆู„ู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
ุงู‡ ูˆ ููŠ ู†ุงุณ ุจูŠุณุชุฎุฏู… ูƒู„ู…ุฉ filters ูˆ ุงู„ุงุฎุฑูŠู†ุ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
ุฃุฎุฏุชูˆู‡ุง ููŠ ุงู„ุฅุญุตุงุฆูŠุŒ ุตุญุŸ ุจุณ ุชุดุชุฑุทูŠ ุงู†ูƒ ุจุชุนุฑู

115
00:07:28,180 --> 00:07:32,060
ุงู„ุชูˆุฒูŠุน ุงู„ุงุญุชู…ุงู„ูŠ ุงู„ distributionูŠุนู†ู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
estimation ู‡ุชุนุชู‚ุฏ ุงู„ู„ูŠ ุฏุฑุณูƒูˆุง ุงู„ู…ุงุฏุฉ ุฃูƒูŠุฏ ูƒุงู†

119
00:07:41,720 --> 00:07:46,180
ูŠู‚ูˆู„ูƒูˆุง MLE ุตุญุŸ ุงู‡ ุงู‚ุชุตุงุฑุง MLE maximum likelihood

120
00:07:46,180 --> 00:07:50,960
estimation ุชู…ุงู…ุŸ ุงุญู†ุง ุงู† ุดุงุก ุงู„ู„ู‡ ูŠุนู†ูŠ ู‡ู†ุฏุฑุณู‡ุง ู‡ูŠ

121
00:07:50,960 --> 00:07:54,440
ุทุจุนุง ู…ุงุนุฑู ุงุฐุง ุถุงู„ ู…ุนูŠ ูˆุฌุฏ ุงู†ู‡ ู†ุ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
ุงู† ุดุงุก ุงู„ู„ู‡ุงู„ู…ู‡ู… ุจู†ุนู…ู„ estimation ู„ู„ model ุจุนุฏ ู…ุง

124
00:08:00,620 --> 00:08:03,920
ู†ุนู…ู„ estimation ู„ู„ model ุฃู† ุงู„ู…ุฑุญู„ุฉ ุงู„ุชุงู†ูŠุฉ ุฎู„ุตู†ุง

125
00:08:03,920 --> 00:08:08,690
ู…ู†ู‡ุงู…ุฑุงุญู„ุชูŠู† ุฎู„ุตูˆุง ู…ู† ุชู„ุงุช ู…ุฑุงุญู„ ููŠ ุงู„ books and

126
00:08:08,690 --> 00:08:13,990
Jenkins ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃุฎูŠุฑุฉ ุชู…ุช ู…ูŠู† ุ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†ุงุชุฅุฐุง ุ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 ูุฑุถูŠุงู† ูุฅุฐุง ุญู‚ู‚ูˆุง

136
00:08:49,270 --> 00:08:52,410
ุงู„ูุฑุถูŠุงุช ูˆู…ุงููŠุด violation ู„ู„ูุฑุถูŠุงุช ู‡ู†ุง ู…ุงููŠุด

137
00:08:52,410 --> 00:08:56,530
ุงู†ุชู‡ุงูƒ ู„ู„ูุฑุถูŠุงู† ููู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† ุทุจุนุงู„ุฃ ุงู„ุชู†ุจุค ูŠุนู†ูŠ ุงุญู†ุง ู…ุงุจุฏุฃ ุฃุฌูŠุจู‡

140
00:09:05,060 --> 00:09:08,400
ุนุดุงู† ุฃุทู„ุน ููŠ ู…ู†ุธุฑ ูˆ ุฃู†ุ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 ุงู†ุง ุนู…ู„ู‡ .. ุงู‡ ูุจุฑุฌุน ุจุนู…ู„ model ุฃุฎุฑ ุชู…ุงู…ูู„ู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† ู„ุฃ ุงู„ุฎุทูˆุงุช ุงู„ู„ูŠ ุนู…ู„ู†ุงู‡ุง

148
00:09:38,350 --> 00:09:41,290
ุงู„ุณุงุจู‚ุง ูŠุนู†ูŠ ุจู†ุฌูŠุจ model ุชุงู†ูŠ ูˆ ุจุฑูˆุญ ู†ุนู…ู„ู‡

149
00:09:41,290 --> 00:09:45,370
estimation ูˆ ุจู†ุนู…ู„ู‡ diagnosis ูˆ ุจุนุฏูŠู† ุจู†ุดูˆู ู‡ู„ ู‡ูˆ

150
00:09:45,370 --> 00:09:49,550
ู…ู†ุงุณุจ ู…ุด ู…ู†ุงุณุจ ูˆ ุจู†ุ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„ู‡ ุงู„ model ู‡ุฏุง ู‡ูˆ ุงู„ู„ูŠ

152
00:09:52,690 --> 00:09:58,230
ุฃู†ุง ุฅูŠุด ุจุชุณูˆูŠู‡ ู‡ุณุชุฎุฏู…ู‡ ู„ุฃ ุงู„ุชู†ุจุคุงุช ุชู…ุงู… ู‡ู‰ุŸุทูŠุจ ู‡ุฐุง

153
00:09:58,230 --> 00:10:00,810
ู‡ูˆ ุงู„ algorithm ุชุจุน ู…ูŠู† ุ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„ ุฃูƒุชุฑุŒ ู‡ู„ุ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
identificationุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ุงู„ู„ู‰ ู‡ู‰ model

158
00:10:13,080 --> 00:10:16,420
identification ู†ุญุฏุฏ ุงู„ู„ู‰ ู‡ูˆ ูŠุง ุชุฑู‰ ุงู„ model ุงู„ู„ู‰

159
00:10:16,420 --> 00:10:21,800
ุงุญู†ุง ุจุฏู†ุง ู†ุฑูˆุญ ู…ุนุงู‡ ูƒูŠู ู‡ูˆุŸ ู…ูŠู† ู‡ูˆุŸ ู‡ู„ ู‡ูˆ ุฃุฑู…ู‰ุŸ ู‡ู„

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 ุฌุฏุด ุงู„ orderุŒ moving average

162
00:10:27,040 --> 00:10:30,120
ูˆุงุญุฏุŒ moving average ุงุชู†ูŠู†ุŒ moving average ุชู„ุงุชุฉ

163
00:10:30,120 --> 00:10:35,500
and so on ุทุจุนุง ุงุชูู‚ู†ุง ุฃู†ู‡ ุงู„ุฎุทูˆุงุช ุงู„ู„ู‰ ุจุฏู†ุง ู†ุนู…ู„ู‡ุง

164
00:10:35,500 --> 00:10:38,380
ู‡ุง ุฏู‰ ุฃูˆู„ ุฎุทูˆุฉ ุนู„ู‰ ุงู„ุฅุทู„ุงู‚ ุงู„ุฃูˆู„ู‰ ู‡ู‰ ุฎุทูˆุฉ ุงู„ุฑุณู…ุŒ

165
00:10:38,380 --> 00:10:42,810
ู‡ู‰ ุงู„ุฑุณู… ุฃุตู„ุงู…ุงุดูŠุŸ ูˆ ุงู„ุฑุณู… ู…ู† ุฎู„ุงู„ู‡ ุจู†ุญุฏุฏ ู…ูŠู† ุงู„ู„ูŠ

166
00:10:42,810 --> 00:10:45,870
ู‡ูŠ ุงู„ stationary ูˆ ู…ุด ุงู„ stationary ูˆ ุงู„ู„ูŠ ู‡ูˆ ุทุจุนุง

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 ู…ู†ู‡ู… ุงู†ู‡ ูู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 ูˆ ู„ุฐู„ูƒ ุงู„ุขู† ุฃูˆู„ ุจุฏู†ุง ู†ุดูˆู ุฃู†ู‡ ู‡ู„ ูŠุง

171
00:10:58,670 --> 00:11:02,050
ุทุฑู‚ ู†ุนู…ู„ detecting ู…ู† ุฃุฒุงู‡ู… ุฃู†ุชูˆุง ุดุงูŠููŠู† ุฃุฑุจุนุฉ ุฃู†ุง

172
00:11:02,050 --> 00:11:06,430
ู…ุฌุฒุฆู‡ู… ู‡ู†ุงOkayุŸ ุ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 ูˆ ู„ุง ู…ุงููŠุด .. ููŠ

177
00:11:20,130 --> 00:11:24,330
seasonality ูˆ ู„ุง ู…ุงููŠุด .. ุนู„ู…ุŸุทุจุนุง ูู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 ูˆ ุฃูŠุถุง ุจู„ุนุจ ุฏูˆุฑ

180
00:11:31,490 --> 00:11:36,170
ูƒุจูŠุฑ ู…ู‡ู… ุงู„ู„ูŠ ู‡ูˆ ุฑุณู…ุช ู…ูŠู† ุงู„ ACF ูˆ ุงู„ partial ACF

181
00:11:36,170 --> 00:11:41,290
ุทุจุนุง ูŠุง ุจู†ุงุฏ ู„ู…ุ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 ุฃุฑุจุน ูŠุนู†ูŠ ูƒู„ ุฃุฑุจุน ูุตูˆู„ูุตู„ ุงู„ุฑุจูŠุน

184
00:11:48,620 --> 00:11:53,520
ุฎุฑูŠู ุงู„ุตูŠู ุงู„ู…ู‡ู… ุงุฑุจุน ูุตูˆู„ ูู„ูˆ ุงู†ุช ุฑุณู…ุช ุงู„ ACF

185
00:11:53,520 --> 00:11:57,660
ุนุงุฑููŠู† ุดูˆ ุจุชุชูˆู‚ุน ุฑุณู…ุฉ ุงู„ ACF ุงู†ู‡ ุ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„ุฒุฑุฌ ุ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„ุฉ ู…ุซู„ุง ุนู†ุฏ ุงู„ุฑุจูŠุน

189
00:12:11,260 --> 00:12:15,530
ุจูŠุนุฏูŠู‡ู…ููŠ ูุตู„ ุฃูˆ ููŠ ุงู„ุณู†ุฉ ุงู„ุฃูˆู„ู‰ ุจุนุฏูŠู† ุจุนุฏ ุฃุฑุจุน

190
00:12:15,530 --> 00:12:19,970
ูุตูˆู„ ุนู†ุฏ ุงู„ุฑุจูŠุน ุจุฑุถู‡ ุจูŠุนุฏู‰ ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ุจุนุฏูŠู† ุจุฑุถู‡

191
00:12:19,970 --> 00:12:24,430
ุจูŠุนุฏู‰ ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ูŠุนู†ูŠ ูŠุง ุจู†ุงุช ูƒู„ ุฃุฑุจุน lags ูƒู„

192
00:12:24,430 --> 00:12:30,390
ุฃุฑุจุน lag ุจุชุชูˆู‚ุน ุฅูŠุด ุงู„ lag ู…ุงู„ู‡ ุนุงู„ูŠ ูŠุนู†ูŠ ููŠ ู‡ู†ุง

193
00:12:30,390 --> 00:12:35,030
correlation ุนุงู„ูŠ ู…ูู‡ูˆู… ู…ุซู„ุง ูˆ ุจุงู‚ูŠ ุงู„ lags ุฎู„ูŠู†ูŠ

194
00:12:35,030 --> 00:12:39,310
ู†ู‚ูˆู„ ุดูˆ ู…ุงู„ู‡ู… ุฌู„ูŠู„ุงุช ุฃูˆ ู…ุซู„ุง ู†ูŠุฌูŠ ู†ู‚ูˆู„ ุงู„ุฑุจูŠุน ุนุงู„ูŠ

195
00:12:39,310 --> 00:12:45,120
ุฌุฏุงู…ูู‡ู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 ุงู† ุดุงุก ุงู„ู„ู‡ ูƒู…ุงู† ุดูˆูŠุฉ ุดุฑุญู†ุงู‡ุง ู‚ุจู„ ู‡ูŠูƒ

197
00:12:50,420 --> 00:12:54,570
ุชู…ุงู…ูˆ ุทุจุนุง ุจุงู„ู…ู†ุงุณุจุฉ DQ ูˆ ุงู„ filler test ุจู„ุนุจ ุฏูˆุฑ

198
00:12:54,570 --> 00:12:57,650
ุจุฑุถู‡ ู‡ู†ุง ู…ุน ุงู„ุนู„ู… ุงู†ูŠ ู‚ู„ุชู„ูƒูˆุง ู‚ุจู„ ู‡ูŠูƒ ุงู† 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„ุงุฎุฑูŠู† ู„ูƒู† ุชุงุจุนูˆู† ุงู„ุฑูŠุงุถูŠุงุช ุงู„ู…ุงู„ูŠุฉ ุฎู„ุงุต ู…ุชุนูˆุฏูŠู†

201
00:13:05,550 --> 00:13:10,650
ูŠุณุชุฎุฏู…ูˆู‡ ูˆ ู‡ูˆ ุญู‚ูŠู‚ุฉ ูŠุนู†ูŠ ู‡ูˆ test ู‚ุฏูŠู… ุงูˆู„ test ุทู„ุน

202
00:13:10,650 --> 00:13:14,330
ูุจุงู„ุชุงู„ูŠ ูŠุนู†ูŠ ุงูŠู‡ ู„ู‡ ุงุญุชุฑุงู…ู‡ ู…ุงุดูŠ ู„ู‡ุง ููŠ ุชุญุณูŠู†ุงุช

203
00:13:14,330 --> 00:13:18,760
ู„ุง ุดูƒ ุงุญุณู† ู…ู†ู‡ูˆ ู…ู…ูƒู† ุชุณุชุฎุฏู… ุงู„ุชุญุณูŠู†ุงุช ูŠุนู†ูŠ ู„ูŠุณ

204
00:13:18,760 --> 00:13:22,440
ุดุฑุทุง ุ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 ุงู†ุชูˆุง ุจุชุนุฑููˆุง ุนุดุงู† ุงู„ null hypothesis ุงู†

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 ุงู† ุงู„ data ู…ุง ู„ู‡ุง stationary ูุจูŠุฎุชุจุฑ

209
00:13:37,100 --> 00:13:40,960
ู‡ุฐุง ุงู„ูƒู„ุงู… ุฒูŠ ู…ุง ุงุชุนู„ู…ู†ุ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 ุฅู†ุชูŠ

211
00:13:45,150 --> 00:13:48,070
ุงุญุชุงุฌุชูŠ ุงู„ูŠู…ูŠู† ู„ู„ differencing ุทุจุนุง ู…ุชู‰ ุจุชุญุชุงุฌูŠ ุงู„

212
00:13:48,070 --> 00:13:51,970
differencingุŸููŠ ุญุงู„ุฉ ุงู†ู‡ุง ุงุซุจุชุช ุงู† ุงู„ุฑุณู…ุฉ

213
00:13:51,970 --> 00:13:54,610
ูˆุงู„ุงุฎุชุจุงุฑุงุช ุงู†ู‡ุง ุฏุง ุชูƒูˆู† stationary ูู…ู…ูƒู† ููŠ

214
00:13:54,610 --> 00:13:57,910
ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู†ูƒ ุชุนู…ู„ ุงู„ differencing ุนุดุงู† ุดู‡ูˆ ู‡ูˆ

215
00:13:57,910 --> 00:14:02,210
ุงุชุญู‚ู‚ ุงู„ stationary ุฏูŠ ู…ุงุดูŠ ุทุจุนุง ุงู„ differencing

216
00:14:02,210 --> 00:14:06,010
ุจุชุนุฑููˆู‡ ุงูˆ ู…ู…ูƒู† ุชุงุฎุฏูˆ ุงู„ log ุจุงู„ู…ู†ุงุณุจุฉ ุตุญ ุงู†ุง

217
00:14:06,010 --> 00:14:09,570
ู…ุงุดุฑุญุชุด ุงู„ log ุจุชูุงุตูŠู„ ูˆู„ูƒู† ููŠ ุจุนุถ ุงู„ุญู„ุ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 okayู‡ู„ุง ู…ู…ูƒู†

221
00:14:20,550 --> 00:14:23,590
ุชุนู…ู„ูˆุง seasonal differencingุŒ ุทุจุนุง ุจุฏูŠ ุฃุชู„ุ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„ุนุงุฏู‰ุŸ ู‡ู„ุง ู„ู…ุง ุชุนู…ู„

224
00:14:29,610 --> 00:14:32,710
ุงู„ difference ุงู„ุนุงุฏู‰ุŒ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸ ุฃูˆู„ ู‚ูŠู…ุฉ

225
00:14:32,710 --> 00:14:37,530
ู†ุงู‚ุตุŒ ุชุงู†ูŠ ู‚ูŠู…ุฉุŒ ุชุงู„ุช ู‚ูŠู…ุฉ ู†ุงู‚ุตุŒ ุชุงู„ุช ู‚ูŠู…ุฉุŒ ู…ูู‡ูˆู…ุŸ

226
00:14:37,530 --> 00:14:42,780
ุณุงุจุน ู‚ูŠู…ุฉ ู†ุงู‚ุต ู…ูŠู†ุŸ ุชุงู…ู† ุฃูˆ ุงู„ุชุงู…ู† ู†ุงู‚ุต ุงู„ุณุงุจุนุนุดุฑ

227
00:14:42,780 --> 00:14:49,240
ู†ุงู‚ุต ุชุงุณุน ุ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 ู†ู‚ุต

230
00:14:58,800 --> 00:15:03,360
ุงู„ูุตูˆู„ ุงู„ period ุงู„ู„ูŠ ู‡ูŠ S ู…ุด ุงู„ S ุชู…ูŠุฒ ุงู„ูุตู„

231
00:15:03,360 --> 00:15:08,160
period ูู…ุซู„ุง ุงู„ูุตู„ ุงู„ุฃูˆู„ ุนู„ู‰ ูุชุฑุฉ ุงุฑุจุน ูุตูˆู„ ุงู„ูุตู„

232
00:15:08,160 --> 00:15:13,520
ุงู„ุฃูˆู„ ูˆุงู„ุฎุงู…ุณู…ูู‡ู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„ุชุงู†ูŠุŒ ุจุนุฏูŠู†ุŸ ุงู„ุณุงุจุน ู†ุงู‚ุต ุงู„ุชุงู„ุชุŒ

234
00:15:19,240 --> 00:15:23,720
ุจุนุฏูŠู†ุŸ ุงู„ุชุงู…ู† ู†ุ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† ุฃุฑุจุน

237
00:15:30,700 --> 00:15:34,460
ู…ุงุดูŠุŒ ู„ูƒู† ู„ูˆ ุงู„ season ู…ุซู„ุง ุงุชู†ุงุด ูุงุชู†ุงุด ูˆ ู„ุง ูƒุฏู‡ุŒ

238
00:15:34,460 --> 00:15:39,180
ุฃู„ูŠู‡ุŸ ู‚ุณู… ุฌุฏุงู‡ู„ุง ุงุฑูƒุฒูˆุง ู…ุนุงูŠุง ุงู†ุชูˆุง ุจุชุนุฑููˆุง ูŠุง

239
00:15:39,180 --> 00:15:43,580
ุจู†ุงุช ุงู†ู‡ ุงู„ .. ุงู„ู‚ุฑูŠู…ุฉ .. ุงู„ู‚ุฑูŠู…ุฉ ุง ุ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„ู…ุฉู‡ุฐู‡ ุงู„ุฏู„ุงู„ุฉ ุนู„ู‰ ู…ูŠู† ุงู†ูƒ ุงู†ุช will take care

243
00:15:54,640 --> 00:15:58,160
ุงู„ู‚ุฑูŠู…ุฉ ู„ู…ูŠู† ููŠ ุงู„ differencing ูุงู†ุช ู„ู…ุง ุชุณุชุฎุฏู…

244
00:15:58,160 --> 00:16:02,420
ุงู„ู‚ุฑูŠู…ุฉ model ุงู‡ ุงู†ุชูˆุง ุนู…ู„ูŠุง ุจุชูƒูˆู†ูˆุง ุนุงูŠุด ุจุชุนู…ู„ูˆุง

245
00:16:02,420 --> 00:16:04,860
differencing ุจุณ ู…ุด ุงู†ุชูˆุง ุ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„ู‡ ูˆ ุจูŠุณูˆูŠ ุงู„ุฃู…ูˆุฑ ู‡ุฐู‡

249
00:16:15,840 --> 00:16:19,570
ูƒู„ู‡ุง ู„ุญุงู„ู‡ ูˆ ุงู„ุงุฎุฑู‡ ูˆ ู„ุง ู‡ุฐุงูˆุฑุบู… ุ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…ุงููŠุด ุฏุงุนุฉ ุ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 ู…ู‡ู…ุฉ ุงู„ุณุจุจ ุฃู†ู‡ ุฃู†ุช ุฑูƒุฒูˆุง ู…ุนุงูŠุง ู„ู…ุง ุฃู†ุช ุชุนู…ู„

253
00:16:30,890 --> 00:16:34,270
differencing ู„ู„ seasonูƒุฃู†ูƒ ุงู†ุช ุงุชุฎู„ุตุช ู…ู† ุงู„

254
00:16:34,270 --> 00:16:38,610
seasonality ูุถุงู„ ุนู†ุฏูƒ ุงู„ุจูŠุงู†ุงุช ุงู„ู…ุชุนู„ู‚ุฉ ุจู…ูŠู† ุจุงู„

255
00:16:38,610 --> 00:16:43,450
non seasonal components ุตุญุŸ ูˆู„ุฐู„ูƒ ุงู†ุช ู„ุงู† ุจู…ุฌุฑุฏ ู…ุง

256
00:16:43,450 --> 00:16:46,190
ุนู…ู„ุช ุงู„ differencing ุถู…ู†ุชูŠ ุงู† ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ุฃู…ุงู…ู†ุง

257
00:16:46,190 --> 00:16:50,050
ู„ุงู† ู…ุงููŠุด ููŠู‡ุง seasonality ูˆู„ุฐู„ูƒ ุงู„ู„ูŠ ุจูŠุถุงู„ ุนู†ุฏูŠ

258
00:16:50,050 --> 00:16:52,510
ุจุฏูˆู† seasonality ููŠู‡ ู†ุงู†ูŠ ุงุนู…ู„ู‡ estimation ุนู„ู‰

259
00:16:52,510 --> 00:16:56,610
ุงูุชุฑุงุถ ุงู†ู‡ ู…ุงู„ู‡ ุงู„ู„ูŠ ุถุงู„ .. ุงู„ู„ูŠ ุถุงู„ุงู„ component

260
00:16:56,610 --> 00:16:59,730
ุงู„ู„ูŠ ุถุงู„ ููŠ ุงุนู…ู„ู‡ estimation ุนู„ู‰ ุงูุชุฑุงุถ ุงู†ู‡ ู…ุงู„ู‡

261
00:16:59,730 --> 00:17:04,270
ู…ุด seasonal ุตุญุŸ ูˆ ุจุงู„ุงุฎูŠุฑ ุจุญุท ุงู„ differencing ู‡ุฐุง

262
00:17:04,270 --> 00:17:07,810
ุงู„ู„ูŠ ุงุฌุงู†ูŠ ูˆุตู„ู‡ ูˆู„ุฐู„ูƒ ุงู„ differencing ู‚ุฏ ูŠูƒูˆู†

263
00:17:07,810 --> 00:17:12,390
ุงุญูŠุงู†ุง ู…ู‡ู… ูƒุฎุทูˆุฉ ููŠ ุงู†ู‡ ุงูŠุด ู†ุนู…ู„ ู„ุญุงู„ู‡ุง ุงู„

264
00:17:12,390 --> 00:17:17,010
estimation ู„ู…ูŠู† ู„ู„ non seasonal components ุงูˆ ุงู„ู„ูŠ

265
00:17:17,010 --> 00:17:21,960
ู‡ูˆ ุงู„ part ุชุจุน ุงู„ non seasonalityูˆุงุถุญุฉ ูŠุง ุจู†ุงุชุŸ ู…ุน

266
00:17:21,960 --> 00:17:25,440
ุงู„ุฃู„ู… ุฃู† ุงู„ุงุฑูŠู…ุฉ ุจุชู…ุดูŠ ู„ุญุงู„ู‡ ูˆ ู‡ูŠ ุงู„ู„ูŠ ุจู†ูุถู„

267
00:17:25,440 --> 00:17:28,880
ุงุณุชุฎุฏุงู…ู‡ุง ูˆ ุทุจุนุง ุงู„ R .. ุงู„ุจุฑู†ุงู…ุฌ ุงู„ุญุตุงุฆูŠ ุงู„ R

268
00:17:28,880 --> 00:17:32,100
ุฌูˆุงุชู‡ ุงู„ function ุงู„ู„ูŠ ุงุณู…ู‡ุง ุงุฑูŠู…ุฉ .. ุงุฑูŠู…ุฉ ุฐุงุช

269
00:17:32,100 --> 00:17:35,980
ู†ูุณู‡ุง .. ููŠ function ุงุณู…ู‡ุง ุงุฑูŠู…ุฉ ูุงู„ุงุฑูŠู…ุฉ ุจุฅู…ูƒุงู†ูƒ

270
00:17:35,980 --> 00:17:39,840
ุชุฏุฎู„ ููŠู‡ุง ู…ูŠู†ุŸ ุงู„ู„ูŠ ู‡ูˆ ุงู„ differencing ูˆ ุชุนู…ู„

271
00:17:39,840 --> 00:17:46,340
seasonal ูˆ non seasonal ูู…ุฌุงุฒุฉ .. ู‡ู„ุง ุจุนุฏ ู‡ูŠูƒ ู†ุญุฏุฏ

272
00:17:46,340 --> 00:17:51,150
.. ู†ุญุฏุฏ ู…ูŠู†ุŸุงู„ orders ุชุจุนูˆู† ุงู„ P ูˆ ุงู„ Q ูˆ ุนุงุฑููŠู†

273
00:17:51,150 --> 00:17:55,210
ู…ูŠู† ุงู„ P ุงู„ P ู…ูŠู† ู‡ู…ุง ุงู„ order excessive ุงู„ order

274
00:17:55,210 --> 00:17:59,330
ุชุจุน ูˆ ุงู„ Q ุงู„ู„ูŠ ู…ูŠู† ุจู„ุนุจ ุฏูˆุฑ ูƒุจูŠุฑ ุฌุฏุง ูู‰ ุชุญุฏูŠุฏ ุงู„

275
00:17:59,330 --> 00:18:07,210
orders ู‡ุฏูˆู„ู‡ ุฑุณู…ุฉ ุงู„ ACF ูˆ ุงู„ partial ACF ู†ุญูŠุง ุงู„

276
00:18:07,210 --> 00:18:10,930
ACF ูˆ ุงู„ partial ACF ุญู‚ูŠู‚ุฉ ูŠุง ุจู†ุงุช theoretically

277
00:18:10,930 --> 00:18:15,310
ุจุฎุชู„ู ุดูˆูŠุฉ ุนู† ู…ูŠู† ุนู† ุงู„ sample ูŠุนู†ูŠ ุนุงู„ู… ุงู„

278
00:18:15,310 --> 00:18:20,600
population ุนุงู„ู… ุงู„ู…ุฌุชู…ุน ุนุงู„ู… ุงู„ู†ุธุฑูŠุฉุฃู‡ ุนุงู„ู… ู…ุซุงู„ูŠ

279
00:18:20,600 --> 00:18:24,240
ูุงู‡ู…ุชูˆู† ุฅูŠู‡ุŸ ูุงุญู†ุง ุจุงู„ English ุจู†ู‚ูˆู„ ุงู„ ACF ูŠุฌุจ ุฃู†

280
00:18:24,240 --> 00:18:27,060
ุชูƒูˆู† ุณูุ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 ุณูุ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 ูˆ ุงู„ partial ACF ุญู‚ูŠู‚ุฉ theory ุงุญู†ุง ููŠู†ุง ุงู‡ ู…ุด

285
00:18:44,680 --> 00:18:47,920
ุงู†ุง ุงู†ุง ู‚ุฏุงู… ุดูˆูŠุฉ ู†ุนู… ูˆ ุงู†ุง ูƒู†ุช ุงุชูˆู‚ุน ุงู„ slide

286
00:18:47,920 --> 00:18:51,660
ุงู„ู„ูŠ ุฌุงูŠ ุทูŠุจ ุงู„ slide ุงู„ู„ูŠ ุงู†ุง ุฌู„ุจุช ุนู„ูŠู‡ ู‡ุฐู‡

287
00:18:51,660 --> 00:18:56,980
ู…ุงููŠู‡ุง ุญุงุฌุงุช ูƒุชูŠุฑุฉ ู‡ูŠ ู…ุฌุฑุฏ ุงู† ุงู„ plot ูŠุจูŠู† ู„ูŠ ุงู„

288
00:18:56,980 --> 00:19:02,440
outliers ุงู„ outliers ุงู„ู„ูŠ ู‡ูŠ ู‚ูŠู… ุงู„ุดุงุฒุฉ ุงู„ุดูˆุงุฒ

289
00:19:02,440 --> 00:19:08,150
ุงู„ู‚ูŠู… ุงู„ู…ุชุทุฑูุฉุงู„ู€ missing values ุงู„ stationary

290
00:19:08,150 --> 00:19:12,650
ุงู„ุฑุณู… ุงู„ู„ูŠ ู‚ู„ุชู‡ ู‚ุจู„ ุดูˆูŠุฉ ูู‡ุฐุง ุงู„ slide ู…ุงููŠู‡ุง

291
00:19:12,650 --> 00:19:17,850
ุตุฑุงุญุฉ ุงุดูŠ ุฌุฏูŠุฏ ูˆู„ูƒู† ุงู†ูŠ ุฃู†ุง ุจุณ ุจุฏูŠ ุงุญุฏุฏ ุงู†ู‡ ุงุฑูƒุฒูƒู…

292
00:19:17,850 --> 00:19:22,930
ุนู„ู‰ ุงู†ู‡ ููŠ ุงู„ R ุนุดุงู† ุณู„ุณู„ ุ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 plotูููŠ ุงู„ุญุงู„ุฉ ู‡ูŠ ุฏูŠ

295
00:19:34,680 --> 00:19:38,340
ุจูŠุญูˆู„ู‡ุง ุงู„ู‰ ู…ูŠู† ุงู„ time series ู‡ุฐุง ุงู„ูุฑู‚ ุจูŠู†ู‡ู…

296
00:19:38,340 --> 00:19:41,400
ุจุงู„ู…ู†ุงุณุจุฉ ู‡ูŠู‡ ูŠุนู†ูŠ ุงู†ุง ุนุดุงู† ุงูˆุฑูŠูƒูˆุง ุงู„ูุฑู‚ ุงู†ุง

297
00:19:41,400 --> 00:19:45,660
ุงุนุชู‚ุฏ ุนู…ู„ุชู‡ ู‡ุฐุง ุงุนุชู‚ุฏ ุตุญ ุงู‡ ุงู‡ ุนู…ู„ุชู‡ ุงุนุทูŠุชูƒูˆุง

298
00:19:45,660 --> 00:19:53,120
ุงุนุชู‚ุ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
ูŠุชุทู„ุน ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ูุงู„ุฃูˆู„ุงู†ูŠ ุงู„ุฃูˆู„ุงู†ูŠ

302
00:20:14,450 --> 00:20:17,330
ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ู†ู‚ุงุท ุจูŠู†ู…ุง ู‡ุฐุง ู‡ูŠุณู…ูˆู‡ุง as ุงูŠู‡

303
00:20:17,330 --> 00:20:22,390
ูŠุง ุนุดุงู†ุŸ term series object ุชู…ุงู…ุŸ ุฒูŠ ู…ุง ุงู†ุชูˆุง

304
00:20:22,390 --> 00:20:25,190
ุดุงูŠููŠู†ู‡ ู…ุน ุงู„ุนู„ู… ุงู†ู‡ ู…ุงุญุฏุด ุงุฐูƒุฑ ุงู† ุงู†ุง ุงุนุทูŠุชูƒูˆุง

305
00:20:25,190 --> 00:20:27,930
ุงูŠู‡ุง ุฎู„ุงุต ุงุนุทูŠุชูƒูˆุง ู…ุญุงุถุฑุชูŠู† ุนู„ู‰ ุงู„ R ูˆุฎู„ุตู†ุงู‡ุง

306
00:20:27,930 --> 00:20:32,670
ู…ุงููŠุด ุฏู‡ ุนู†ูŠ ุงู† ุดุงุก ุงู„ู„ู‡ ุจุฑูƒู†ู†ุงูŠุนู†ูŠ ููŠ ุฃุฎุฑ ุดู‡ุฑ

307
00:20:32,670 --> 00:20:37,630
ุฃุฑุจุนุฉ ุนู…ู„ู†ุง ุงู†ุง ู…ุญุงุถุฑุชูŠู† ุฃูˆ ุชู„ุงุชุฉ ุ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… ุงู† ุดุงุก ุงู„ู„ู‡ุŒ

309
00:20:40,290 --> 00:20:44,200
ุงู† ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„ุจุฏุกุŒ ููŠ ุงู„ุจุฏุกุทูŠุจ ุฅุฐุง ู‡ุฐู‡ ุฎู„ูŠู†ูŠ

310
00:20:44,200 --> 00:20:47,060
ุฃู†ุง ู…ุงุฃุญูƒูŠุด ุนู„ูŠู‡ุง ูƒุชูŠุฑ ู„ุฅู†ู‡ุ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…ุงู†ูŠุฉ ู…ุซู„ุง ุฑุณู…ุชู‡

313
00:20:55,300 --> 00:20:58,600
ุณู„ุณู„ุฉ ุฒู…ุงู†ู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 ุงุทู„ุ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„ุฏู‡ุจุนุจุฑ

317
00:21:10,290 --> 00:21:16,070
ุงู„ุฒู…ู† ุงูˆ ู…ุซู„ุง ุณุนุฑ ุงู„ุฏู‡ุจ ู†ุณูŠุช ุจุตุฑุงุญุฉ ุงูˆ ู…ุงุงู‡ุชู…ุชุด

318
00:21:16,070 --> 00:21:19,990
ุงูŠุด ุงู„ุจูŠุงู†ุงุช ุจุชุญูƒูŠ ูƒู„ ุงู„ู„ูŠ ุดูุชูˆุง ุงู„ gold ูˆ ุงู„ time

319
00:21:19,990 --> 00:21:22,730
ู‚ูˆู„ุช ู‡ู‡ ู‡ู‰ outlier ู„ุฌูŠู†ุง ุงู†ู†ุง ู…ุซู„ ุงู„ outlier

320
00:21:22,730 --> 00:21:26,290
ูุนุทูŠุชูƒูˆุง ูŠุนู†ู‰ ุจุนูŠู†ูƒูˆุง ุงู„ู„ู‡ ุจุชุดูˆููˆุง ุงู†ุชูˆุง ูุทุจุนุง ู„ูˆ

321
00:21:26,290 --> 00:21:29,130
ุฑุณู…ุชูˆุง ุงู„ุณู„ุณู„ุฉ ุฒู‰ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ููŠู‡ ุงู†ุง ู‡ู†ุง ุนู†ุฏูŠ

322
00:21:29,130 --> 00:21:33,830
ุงูŠุด outlier ู‚ูŠู…ุฉ ุดุฒุฉ ุตุญุŸ ู„ุฃู†ู‡ ุฒู…ุงู† .. ูู‰ trend ู„ุดูƒ

323
00:21:33,830 --> 00:21:38,570
ูˆู„ูƒู† ูุฌุฃุฉ ู‡ู†ุง ู…ุซู„ุง ุณุนุฑ ุงู„ุฏู‡ุจ ุนู„ู‰ ุงูุชุฑุงุถ ุงู† ู‡ูˆ ุณุนุฑ

324
00:21:38,570 --> 00:21:43,770
ุงู„ุฏู‡ุจูุฌุฃุฉ ุณุงู„ ุงู„ุฏู‡ุจ ู…ุงู„ู‡ ุงู‡ ุทู„ุน ุนู„ูŠู‡ ุนุงู„ูŠ ุฌุฏุง ูู‡ุฐู‡

325
00:21:43,770 --> 00:21:49,070
outlier ู‚ุฏ ูŠูƒูˆู† ุ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
ูˆ ุจุนุจู‡ ุ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… ุงู†ุ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†ุง ุ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„ูˆู‡ุ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 ูˆ ุฃู†ุชูˆุง

335
00:22:28,940 --> 00:22:32,880
ุจุชุนู…ู„ูˆุง ุจุชุนู…ู„ูˆุง ูƒู„ ุงู„ู‚ูŠู… ุฃุตู„ุง ู…ูˆุฌุจุฉ ูุฌุฃุฉ ู„ุฌูŠุชูˆุง

336
00:22:32,880 --> 00:22:37,470
ู‚ูŠู…ุฉ ุณุงู„ุจุฉ ูŠุนู†ูŠ ููŠ ุฎุทุฃ ู‡ู†ุงูŠุนู†ู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†ุชูˆุง ุนุงุฑููŠู† ุฃู†ู‡ ู…ุซู„ุง ุฅูŠุด ููŠ ุนู†ุฏู‰ ุ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† ุงูˆ ุ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‡ู„ุงูƒุงู„ุงู†ุณุงู† ุงุณุชู‡ู„ุงูƒู‡

343
00:23:06,340 --> 00:23:11,540
ู„ู„ู…ุงู„ .. ู„ู„ุทุนุงู… ุฏุงุฆู…ุง ู…ูˆุฌุจ ูˆู„ุง ุจูŠุงูƒู„ .. ุงู‡ ุฏุงุฆู…ุง

344
00:23:11,540 --> 00:23:15,580
ู‡ุฐุง ู…ูˆุฌุจ ุฎู„ุงุต ูุงุณุชู‡ู„ุงูƒ ู„ู„ุฒู…ู† ุนุจุฑ .. ุนููˆุง ู„ู„ุทุนุงู…

345
00:23:15,580 --> 00:23:18,700
ุนุจุฑ ุงู„ุฒู…ู† ุฏุงุฆู…ุง ู…ูˆุฌุจ ูˆุงู†ุช ุจุชุฑุณู… ุงูŠู‡ ููŠ ู‚ูŠู…

346
00:23:18,700 --> 00:23:22,340
ุงู„ุงุณุชู‡ู„ุงูƒ ุงู„ consumption ู‡ู†ุง ูˆุฌุฏุชูŠู„ูƒ ุงู† ููŠ ุณู†ุฉ ู…ู†

347
00:23:22,340 --> 00:23:25,500
ุงู„ุณู†ุชูŠู† .. ููŠ ุณู†ูˆุงุช .. ู…ู† ุงู„ุณู†ูˆุงุช ุนููˆุง ุงูˆ ููŠ ุงูƒุซุฑ

348
00:23:25,500 --> 00:23:31,800
ู…ู† ู…ุฑุฉ ู„ู‚ูŠุช ู‚ูŠู… ุณุงู„ุจุฉ ุดูˆ ู…ุนู†ุงุชู‡ุŸ ู‡ู†ุง ููŠ ุฎุทุฃูู„ุงุฒู…

349
00:23:31,800 --> 00:23:34,900
ููŠ ุงู„ุจุฏุงูŠุฉ ุชุญู„ูŠู‡ุŒ ู‡ุฐุง ุจูˆุฑูŠู†ูŠ ุทุจุนุง ุงู„ plot ุฃูƒูŠุฏ

350
00:23:34,900 --> 00:23:38,000
ุฃู†ุชูˆุง ุ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 ูˆ ุฌุจู†ุ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…ู†ูŠุฉุฑุงูˆ

354
00:23:51,970 --> 00:23:55,990
ุฃุฑู‚ุงู… ุ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
ูˆูˆุฑุงุช ุ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 ู…ุธุจูˆุทุŸูู„ู…ุ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 ู‚ู„ุชู„ู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 Riverุฃู‡ ุงู„ linux ู‡ุฐุง ุฃู‡ ุชุฒู…ุน ุนุจุฑ

366
00:24:41,640 --> 00:24:45,960
ุงู„ุณู†ูˆุงุช ูู‡ุฐู‡ period ููŠู‡ ูˆุงุถุญ ุฃู†ู‡ ูƒู„ ุฃูƒุชุฑ ู…ู† ุ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 ุทุจุนุง ุ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† ุนู„ู‰

370
00:24:58,880 --> 00:25:03,400
ุงู„ุบุงุฑู…ุฉ ูˆ ู‡ู†ุ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 ูˆ ู‡ู†ุง ู„ุงุฒู…

372
00:25:06,480 --> 00:25:10,670
ุฃุญู„ ู…ุดูƒู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ trendูˆ ู‡ูƒุฐุง ู‚ุจู„ ู…ุง ุฃุจู„ุด ุฃุญูƒูŠ

373
00:25:10,670 --> 00:25:14,430
ุทุจุนุง ู‡ุฐู‡ ูˆุงุถุญุฉ ุฃู†ู‡ ููŠ trend ูˆ ูู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 ุงู†ุช ุญุชู‰ ู„ู…ุง ุชุฑูˆุญ

376
00:25:21,910 --> 00:25:24,190
ุชุญุฌุฒ ูˆ ุชุฐุงูƒุฑ ุงู„ุทูŠุฑุงู† ูƒุงู† ุจูŠู‚ูˆู„ูƒ high season ูˆ ู„ูŠู‡

377
00:25:24,190 --> 00:25:27,610
season ุชุฐุงูƒุฑ ุงู„ุทูŠุฑุงู† ููŠ ุงู„ high season ูˆ ู„ูŠู‡

378
00:25:27,610 --> 00:25:29,650
season ู…ุง ุฃู†ุชูˆุง ูุงู‡ู…ูŠู† ู‡ุฐุง ุงู„ูƒู„ุงู… ุฎุตูˆุตุง ุงู„ู„ูŠ

379
00:25:29,650 --> 00:25:34,710
ุจูŠุณุงูุฑูˆุง ู‡ุฐูŠ ูˆุงุถุญุฉ ุฃู†ู‡ ููŠ ุนู†ุฏูŠ ู‡ู†ุง outliers ุฏู‡ ู‡ูˆ

380
00:25:34,710 --> 00:25:39,320
ู…ุธุจูˆู… ูˆ ููŠ ู‡ู†ุง volatility ุนุงู„ูŠุฉู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุชุชุนู„ู‚

381
00:25:39,320 --> 00:25:42,300
ุจุงู„ arts ูˆ ุงู„ arts ููŠู…ุง ุจุนุฏ ูˆ ุงู„ู„ู‡ ู…ุง ุงุธู† ุงู† ุงุญู†ุง

382
00:25:42,300 --> 00:25:47,420
ู‡ู†ุฎู„ุตู‡ุง ุงู„ู…ุญุงุถุฑุงุช ุงู„ู„ูŠ ููŠ ู…ุงุฏุชู†ุง ุงุฐุง ูƒู„ ุงู„ุฑุณู…ุงุช

383
00:25:47,420 --> 00:25:50,080
ู‡ุฐู‡ ู…ู…ูƒู† ุงู† ุงู†ุง .. ุงู†ุง ู…ู† ุฎู„ุงู„ู‡ุง .. ูŠุนู†ูŠ ุงู†ุ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„ู ุชุนู…ุงู…ุง ุนู† ุงู„arma ูŠุนู†ูŠ ู…ุด ุงู„ ..

386
00:25:58,940 --> 00:26:03,020
ูŠุนู†ูŠ ุงู„arma ู…ุงุจูŠุนู…ู„ุ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 artsู…ูˆุฏูŠู„ ุงุณู…ู‡ Arch ูˆ Garch ู‡ูˆ ุจุฏู„ ู…ุง ู‡ู‰

389
00:26:12,380 --> 00:26:16,900
R .. ุงูŠู‡ R ูŠุนู†ู‰ุŸ ู„ุฌูŠุชู‡ุง Arch ุจุชุตูŠุจ ุงุณู…ู‡ุงุŒ

390
00:26:16,900 --> 00:26:22,490
heterostaticityุŒ ุงู„ู…ู‡ู…ุนููˆุง ..ุงู„ุงู† ุงุญู†ุง ุงู„ุฑุณู…ุฉ ุงู„ู„ู‰

391
00:26:22,490 --> 00:26:27,830
ุงู…ุงู…ูƒูˆุง ุญูƒูŠู†ุง ูƒุชูŠุฑ ูˆ .. ูˆ .. ูˆ ู†ุจุญุซ ุตูˆุชู†ุง ูˆ ุงุญู†ุง

392
00:26:27,830 --> 00:26:32,210
ู†ู‚ูˆู„ ุฑุณู…ุฉ ุงู„ ACF ูˆ ุฑุณู…ุฉ ุงู„ partial ACF ู„ู„ auto

393
00:26:32,210 --> 00:26:34,870
-regressive ูˆ ู„ู„ moving average ู‚ูˆู„ุชู„ูƒูˆุง ูู‰ ุฐุงูƒ

394
00:26:34,870 --> 00:26:38,490
ุงู„ูˆู‚ุช ุงู†ู‡ ุนู„ู‰ ุฑุบู… ุงู†ู‡ ุงุญู†ุง ุฃุฎุฏู†ุงู‡ุง ุจุณุฑุนุฉ ุงู„ุง ุงู†ู‡

395
00:26:38,490 --> 00:26:42,090
ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ู…ุฑุน ุนู„ูŠู‡ ุนุงูŠุด ุชูุตูŠู„ ุฃูƒุชุฑ ูŠูˆู… ู†ูŠุฌูŠ

396
00:26:42,090 --> 00:26:45,710
ู†ุดุฑุญ ุนู„ู‰ ู…ูŠู† ุงู„ identification ู„ู„ R model ู…ู†ู‰ ุ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 ุงู†ู‡ุง ู†ุธุฑูŠุฉ ู„ู„ table ู‡ุฐุง ูุฑุณู…ุฉ ุงู„ ACF ุงู„

399
00:26:55,480 --> 00:26:59,560
auto correlation function ูˆ ุงู„ BACF ุ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 ุงู† ูƒู„ ุฃูŠุงุชู‡ู… ุฃุตูุฑ ู…ุตุจูˆุทุŸ ูŠุนู†ูŠ ุฃู†ุง

403
00:27:13,720 --> 00:27:19,400
ุตุฑุงุญุฉ ู„ูˆ ุฑุณู…ุช ุงู„ ACFูˆ ุทู„ุนุช ูƒู„ู‡ุง ุฃุณูุงุฑ white noise

404
00:27:19,400 --> 00:27:23,620
ูˆ ู„ุญุงู„ู‡ุง ุงู„ ASF ู„ุฃ ู…ุด ู„ุญุงู„ู‡ุง ู„ุงุฒู… ุชูƒูˆู† ุฃูŠุถุง ู…ู† ุงู„

405
00:27:23,620 --> 00:27:27,180
partial ูุฑุณู…ุฉ ุงู„ autocorrelation function ูˆ ุงู„

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
ุฃุณูุ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 ุจูƒูˆู†ุด zero ุจูƒูˆู† ุดูˆ ุนุงุฏ ุจูŠู† ุงู„ุฎุทูŠู†

409
00:27:40,200 --> 00:27:44,100
ุงู„ุฒุฑุนูŠู†ุฅุฐุง ูˆุฌูˆุฏ ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ู‡ุฏูˆู‡ุง ุงู„ู„ูŠ ูƒู…ุงู† ู…ุฑุฉ

410
00:27:44,100 --> 00:27:48,230
ุงุณู…ู‡ู… ู…ุด ุฎุทูŠู† ุฒุฑู‚ ุงุณู…ู‡ู… confidence limitุงู„

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 ุดุฆุชูŠ ู‡ุฏูˆู„ู‡ ุฌูˆุงู‡ู… ู†ุนุชุจุฑู‡ zero negligable

413
00:27:57,710 --> 00:28:03,550
ุฅู‡ู…ุงู„ ู†ู‡ู…ู„ู‡ ูˆูƒุฃู†ู‡ zero ุจุฑุงู‡ู… ุนุฏุงู‡ู… ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ ุฃู†ู‡

414
00:28:03,550 --> 00:28:07,150
ู…ุด zero ุนู„ู…ุŸ ู…ุนู†ุงุชู‡ ู…ุด white noise ูŠุจู‚ู‰ ุฃูŠ ุฃุดูŠ

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 ุฏู‡ ู†ุนุชุจุฑู‡ุง white noise ู‡ุฐุง ุงู„ูƒู„ุงู… ุนู„ู‰ ุนุงู„ู…

417
00:28:15,390 --> 00:28:19,120
ุงู„ sample ุทุจุนุงูุงู„ sample ุจูŠุตูŠุฑ ุงู„ุญุฏูŠุซ ุนู† ุงู„ู„ูŠ ุงู†ุง

418
00:28:19,120 --> 00:28:22,980
ุญุงูˆู„ ุงุชูƒู„ู… ุ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 ุงู† ุชูƒูˆู† tail off ูŠุนู†ูŠ ุงูŠุด ุชู†ุฒู„

421
00:28:33,220 --> 00:28:39,080
exponentially decay ุชุซุจูŠุช ูŠุนู†ูŠ ุชู†ุฒูˆู„ ูŠุนู†ูŠ ุชุซุจูŠุช

422
00:28:39,080 --> 00:28:42,540
ูŠุนู†ูŠ ููŠ ุงูŠ ุดูŠ ุจู†ุฒู„ ููŠู‡ ููŠ ุงู„ู‚ูŠุงู… ุจุดูƒู„ ู…ุง ู„ู‡

423
00:28:42,540 --> 00:28:49,490
exponentially ูู‡ู…ุฃูˆ .. ุฃูˆ ูŠูƒูˆู† ุนู„ู‰ ุดูƒู„ ู…ูŠู† ุงู„ sign

424
00:28:49,490 --> 00:28:53,990
ุจุณ ุจุทุฑูŠู‚ุฉ ู…ุงู„ู‡ุง ุฃูŠุถุง ุนู…ู„ู†ุงู‡ุง ุฒูŠ ุงู„ุณุงุจู‚ุฉ ู‡ู„ุฃ ุฃู†ุง

425
00:28:53,990 --> 00:28:57,770
ูƒู…ุงู† ุดูˆูŠุฉ ู‡ุงุฌูˆู… ุนู„ู‰ ู„ูˆุญู‡ ู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 OCF ุชุจุน ุงู„ auto

429
00:29:07,430 --> 00:29:11,930
-regressive ุฃู†ู‡ ู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„ู‡ ุทุจุนุงูƒู„ ุงู„ู„ูŠ ุฌุงุจู„ู‡ ูŠุนู†ูŠ

431
00:29:15,840 --> 00:29:19,560
ู…ุซู„ุง ุงู„ู„ุงุฌ B ูŠุง ุจู†ุงุช ุงู„ B ุชุฑุถูˆู„ูŠ ุจุงู„ู„ู‡ ุฅู†ู‡ุง ุชู„ุงุชุฉ

432
00:29:19,560 --> 00:29:23,360
ูŠุนู†ูŠ ุนู†ุฏ ุงู„ู„ุงุฌ ูˆุงุญุฏ ู„ุงุฒู… ุฃุนุฏ ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ูˆุนู†ุฏ

433
00:29:23,360 --> 00:29:27,200
ุงู„ู„ุงุฌ ุงุชู†ูŠู† ุจูŠุนุฏ ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ู„ุงุฒู… ุฃุนุฏู‡ู… ูˆุงู„ู„ูŠ ุฃุฏูŠ

434
00:29:27,200 --> 00:29:31,360
ุชู„ุงุชุฉ ุจูŠุนุฏ .. ุจูŠุนุฏ ุงู„ุฎุท ุงู„ุฃุฒุฑู‚ ุจุนุฏ ุงู„ุชู„ุงุชุฉ cut

435
00:29:31,360 --> 00:29:36,780
ูŠุนู†ูŠ ุ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 ุชู†ุชูŠู† ู…ุน ุจุนุถ ูˆู„ูŠุณ ูˆุงุญุฏุฉู…ูˆุฌูˆุฏู‡ู… ู…ุน ุจุนุถ

438
00:29:44,200 --> 00:29:49,600
ุงู„ุชู†ุชูŠู† ุงู‚ุชุฑุญู„ูŠ ุงู‚ุชุฑุงุญ ุงู†ูˆ ุงูŠุดุŸ autoregression ู‡ู„ุง

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
ุงู†ุ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 ุงูˆ damped sine wave ุจุดูƒู„ sine wave

443
00:30:11,800 --> 00:30:15,450
ูŠุนู†ูŠ ููŠู‡ ุชู†ุงู‚ุตูู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‚ูˆุง ูƒู…ุงู† ุดูˆูŠุฉ ุฃุนู…ู„ู‡ุงุŒ ู‡ู„ุฃ ุจุงู„ู†ุณุจุฉ ู„ู„ุงุฑู…ู‰ุŒ

447
00:30:27,550 --> 00:30:33,210
ุงู„ุชู†ุชูŠู† ู…ุงูู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
ุฃู‡ ุชู†ุงู‚ุต ุฃูˆ ุชุซุจูŠุช ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ุดูƒู„ ู…ุงู„ู‡ sign with

451
00:30:45,790 --> 00:30:49,750
ู…ูู‡ูˆู… ูŠุง ุจู†ุงุชุŸ ุฃูˆ tail of speak ู…ู† Q ู†ุงู‚ุต ุจูŠู‡ุง ุฏูŠ

452
00:30:49,750 --> 00:30:55,470
ู…ุง ุชุญูุธูˆู‡ุงุด ุฎู„ุงุต ุงุญูุธูˆุง ุงู†ู‡ ู…ูŠู† tail of ูˆ ุจุฏูˆู† ุญุชู‰

453
00:30:55,470 --> 00:30:59,650
ู…ุง ุชู‡ุชู…ูŠ ุจุนุฏ ู…ุฌุฏู‡ุด ู„ู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 afterP ู†ู‚ุ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 ุงู†ุชูˆุง ุงูู‡ู…ูˆุง ุฅูŠุด tail off

460
00:31:30,450 --> 00:31:35,790
ูˆุฅูŠุด tail off ุฃูˆ ุงูู‡ู…ูˆุง ุฅู†ู‡ ูู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 ุน ุงู„ุง

466
00:31:43,790 --> 00:31:50,150
X ุงูˆ ุ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 ุงูƒูŠุฏ not stationary random walk

468
00:31:52,950 --> 00:31:59,390
ุจุงู„ู†ุณุจุฉ ู„ู„ ACF ู„ู† ูŠูƒูˆู† ู‡ู†ุงูƒ decayู…ูู‡ูˆู…ุŸ ูŠุนู†ูŠ ุชุฌุฏูˆุง

469
00:31:59,390 --> 00:32:02,710
ุงู„ุนู…ุฏุงู† ู…ุนุงู‡ู… ุฌุฑูŠุจูŠู† ุฌุฏุง ุ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†ุชูˆุง ุฐุงูƒุฑูŠู†ู‡ุง ุทู„ุนุช

473
00:32:15,990 --> 00:32:20,470
ุฌุฒุฑ ุฌุฒุฑ ูƒุฃู†ู‡ุง sigma ุชุฑุจูŠุน ุฃูˆ ู…ุง ุจุนุฑู ุฅุฐุง ููŠ sigma

474
00:32:20,470 --> 00:32:24,830
ุชุฑุจูŠุน ูˆู„ุง ู„ุง ุจุณ ููŠ ุงู„ู…ู‚ุงู… ููŠ ุงู„ู…ู‚ุงู… ูˆุงุญุฏ ู†ุงุฌุณ H

475
00:32:24,830 --> 00:32:30,150
ุนู„ู‰ Tูˆ ุงู„ T ู‡ูŠ ุงู„ุฒู…ู† ูˆ ุงู„ H ู‡ูŠ ุงู„ lab ู„ู…ุง ู‚ู„ุชู„ูƒูˆุง

476
00:32:30,150 --> 00:32:35,290
ู„ู…ุง ุชูƒุจุฑ ุงู„ T ูˆ ุงู„ H ุตุบูŠุฑุฉ ู…ู‚ุงุจู„ .. ู…ุด ุฏุงูŠู…ุง ู‡ุฐุง

477
00:32:35,290 --> 00:32:39,670
ุงู„ู…ู‚ุฏุงุฑ ุจูŠุณุงูˆุญู‡ุง ูุฏุงูŠู…ุง ุงู„ raw ุงู„ู„ูŠ ู‡ูŠ ุงู„ S ูŠุนู†ูŠ

478
00:32:39,670 --> 00:32:43,890
ููŠ ุงู„ raw ู‚ุฑูŠุจุฉ ู„ู„ุบุฉ .. ุฐุงูƒุฑูŠู†ู‡ ูˆู„ุง ู†ุณูŠุชู‡ุŸ ูˆุงู„ู„ู‡

479
00:32:43,890 --> 00:32:46,330
ู…ุง ู‡ูˆ ุจุนูŠุฏ ุญุงูƒูŠู†ุงู‡ ุงุญู†ุง ู…ู† ุฒู…ุงู† ูŠุนู†ูŠ ู…ุด ู…ู† ุฒู…ุงู†

480
00:32:46,330 --> 00:32:50,810
ุฌุฏูŠุด ู„ูŠู‡ ุตุฑุงุญุฉ ูƒุฏู‡ ุงุณู…ู‡ ุงู„ู…ุงุถูŠ ุงุนุชู‚ุฏ ุตุญ ูุฑุณู…ุฉ ุงู„

481
00:32:50,810 --> 00:32:57,190
random walk ุบุงู„ุจุง ู†ุชูˆู‚ุน ุงู† ุชูƒูˆู†ู‚ุฑูŠุจุฉ ู„ู„ูˆุงุญุฏ ุงูˆ ุงู‚ู„

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„ ุฌุฏุง ูˆ ู…ุงููŠุด cut .. ู…ุงููŠุด ู…ูƒุงู† ูŠุณูŠ cut ูˆ

484
00:33:06,750 --> 00:33:09,470
ุชู‚ุฑูŠุจุง ูƒู„ู‡ู… ูˆุงุญุฏ ุงูˆ ุงู‚ู„ ุดูˆูŠุฉ ู…ู† ุงู„ูˆุงุญุฏ ุงู‚ู„ ุจู†ุฒู„

485
00:33:09,470 --> 00:33:14,150
ู†ุฒู„ ุจุณ ู‡ูŠ ู…ุงุจูŠู† ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ู„ู„ูˆุงุญุฏ ู…ุซู„ุง ูƒุฏู‡ ..

486
00:33:14,150 --> 00:33:18,310
ุงุญู†ุง ู‡ุดูˆู ู†ุดูˆู ุณู…ุงุนุงุชู†ุง ุงู† ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„ู…ู‚ุงุจู„ ูŠุง

487
00:33:18,310 --> 00:33:22,460
ุจู†ุงุช ูˆ ุงู†ุง ุจุชุฑูƒู‡ุง ุงู„ sixersers ุนู„ูŠูƒู… ุณู‡ู„ ุชุซุจุชูˆู‡ุงููŠ

488
00:33:22,460 --> 00:33:27,380
ุงู„ู…ู‚ุงุจู„ ุงู„ random walk ุณุชุฌุฏูˆุง ุงู†ู‡ ุ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† ุงูŠู‡ ุงุด

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 ุงู†ูŠ ู‚ู„ุช ู‚ุจู„ ุดู‡ุฑ ุงุจุฏุง ุงุชุฑูƒ

492
00:33:43,440 --> 00:33:48,560
ุญุงู„ูŠูƒู… ุจุณ ุนู„ู‰ ุงู„ุณุฑูŠุน ุงู„ partial ุดูˆ ุชุนุฑูŠูู‡ุŸ ุงู„

493
00:33:48,560 --> 00:33:53,140
partialุงู„ู„ู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† ุฃุชู‡ู… ุ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† ุฃุชู‡ู… ุ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 walkู‡ูˆ random walk ู…ุด ู‡ูˆ ุชุนุฑูŠูู‡ ู…ู† ุงู„ุฃุณุงุณ

500
00:34:23,080 --> 00:34:30,660
XT ุชุณุงูˆูŠ XT ู†ุงุฌุณ ูˆุงุญุฏ ุฒุงุฏ Y ู…ุด XT ูˆ ุงู„ู„ูŠ ุฌุงุจู„ู‡ XT

501
00:34:30,660 --> 00:34:34,740
ู†ุงุฌุณ ูˆุงุญุฏ ูู„ู…ุง ุจุนู…ู„ partial ุจุนู…ู„ ุจูŠู† ู…ูŠู† ูˆ ู…ูŠู† ุจูŠู†

502
00:34:34,740 --> 00:34:41,020
XT ูˆ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ูˆ ู„ุฐู„ูƒ ุฅูŠุด ุจุชุชูˆู‚ุน ุฑุณู…ุฉ ุงู„ partial

503
00:34:41,020 --> 00:34:46,940
ู„ุฅู† ุงุณุชุนุจุชู‡ ุฃู†ู‡ ุจุณ ุจูŠู† ู…ูŠู† ูˆ ู…ูŠู†XT ุงูŠู‡ุŸ ูˆ XT ู†ุ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 ุชุจุฑูˆุญ ุ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
ู†ุจุชุด ู†ุญูƒูŠ ููŠ ุงู„ุฑุณู…ุงุช ูˆ ู†ูˆุฑูŠู‡ุงุทูŠุจ ุงู†ุง ุจุฏู‡ ุงูˆุฑูŠ ุงู„ุงู†

510
00:35:13,120 --> 00:35:15,760
ุงู„ุฑุณูˆู…ุงุช ุงู„ู„ูŠ ุงู…ุงู…ู†ุง ุจุณ ู‚ุจู„ ู…ุง ุงูˆุฑูŠู‡ุง ุจุฏู‡ ุงุทู„ุน

511
00:35:15,760 --> 00:35:19,480
ุงู„ู„ูˆุญ ูˆ ุงุนู…ู„ูƒูˆุง ุจุดูƒู„ ุนุงู… ุงู„ summary ู„ู„ table ู‡ุฐุง

512
00:35:19,480 --> 00:35:27,340
ู‡ู„ุง ุงุญู†ุง ุดูˆ ุฑุงูŠูƒูˆุง ุงู†ุง ุจุฑุณู… ุงู„ ACF ู„ุงู† ูˆ ู…ู† ุซู… ุงู„

513
00:35:27,340 --> 00:35:32,060
partial ACF ุฎู„ูŠู†ูŠ ุงู†ุง ุนุดุงู† ุงู†ุง ู…ุชุถุฑุจ ุฑุณู…ุชูŠู† ุฌู†ุจ

514
00:35:32,060 --> 00:35:39,360
ุจุนุถ ุจุชุนู…ู„ู‡ู… ู‡ู‰ ุงู„ ACF ูˆ

515
00:35:39,360 --> 00:35:40,580
ู‡ู‰ ุงู„ partial ACF

516
00:35:45,470 --> 00:35:49,790
ู†ูŠุญุŸ ุทุจุนุง ุงู†ุชูˆุง ูุงู‡ู…ูŠู† ุงู†ู‡ ูู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‚ ูˆ ุชุญุช ู‡ู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„ุตูŠู† ุงู„ู„ูŠ ุฃุนู…ู„ู‡ู… ุชุญุชุŒ ุจุชุนุฑููŠู†ุŸ ุฎู„ูŠู†ูŠ ุฃุนู…ู„ู‡ู… ุชุญุช

521
00:36:04,130 --> 00:36:12,010
ุนุดุงู† ุฃุณู‡ู„ ุนู„ูŠุง ููŠ ุงู„ุฑุณู… ุตุฑุงุญุฉ ู†ูŠุญ

522
00:36:12,010 --> 00:36:15,850
ู‡ุฐู‡ ACFุŸุงู„ุฎุทูŠู† ุงู„ู…ุชู‚ุทุนุงุช ู‡ู…ุง ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู† ุงู„

523
00:36:15,850 --> 00:36:19,290
confidence limit ูˆ ุจุงู„ู…ู†ุงุณุจุฉ ุชู‚ูˆู„ ู‡ุฐู‡ ู‡ูŠ ุนุจุงุฑุฉ ุนู†

524
00:36:19,290 --> 00:36:25,190
ุชู†ูŠู† ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู† ุงูˆ ุชุญุฏูŠุฏุง ู‡ูŠ ุงุฐุง ุจุชุญุจ 1.96 ูˆ ู‡ุฐู‡

525
00:36:25,190 --> 00:36:31,150
ุงูŠุด ุจุงู„ุซุงู„ุซ ุทุจุนุง ูˆ ู‡ุฐู‡ 1.96 ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู† ู…ุธุจูˆุท ูˆ

526
00:36:31,150 --> 00:36:33,270
ู‡ุฐู‡ ู…ุซู„ุง ุนู„ู‰ ุงูุชุฑุงุถ ู†ุฒูŠู„ุฉ ุนุงุฑูู‰ ุงู†ู‡ ู‡ุฐุง ุงู„ุดุบู„

527
00:36:33,270 --> 00:36:38,710
ุงู„ู…ู‡ู… ูˆ ู‡ุฐู‡ ุจุงู„ู…ุฑุฉ ุงู„ู„ูŠ

528
00:36:38,710 --> 00:36:45,320
ู‡ู…ุง ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ู‡ูŠูƒ confidence limitูˆ ู‡ุฐุง ุงู„ุขู† ุงู„

529
00:36:45,320 --> 00:36:49,400
partial case ุงู„ู„ูŠ ูŠุง ุจู†ุงุช ุงุชูˆู‚ุนูˆุง ุงู†ุง ุทุจุนุง ู‡ุฑุณู… ูˆ

530
00:36:49,400 --> 00:36:53,720
ู‡ู…ุญ ุจุณุฑุนุฉ ุนุดุงู† ุงุฎู„ุต ุงู‡ ุงุชูˆู‚ุนูˆุง ุงู†ู‡ ุ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‡ู… ุงู„ู„ูŠ ุนู†ุฏ ุงู„ legs ู‡ุฏูˆู„

533
00:36:58,860 --> 00:37:02,940
ุงู„ legs ู‡ุฏูˆู„ ุงู„ H ูŠุนู†ูŠ ุงู„ legs ุนู†ุฏ ุงู„ leg ูˆุงุญุฏ ุนู†ุฏ

534
00:37:02,940 --> 00:37:07,000
ุงู„ leg ุชู†ูŠู† ูˆ ู‡ูƒุฐุง ุงุชูˆู‚ุนูˆุง ุงู†ู‡ู… ูŠูƒูˆู† ู…ุงู„ู‡ู… ุตุบูŠุฑุฉ

535
00:37:07,000 --> 00:37:11,670
ุฃุตูุฑ ู‡ูŠ theoryูˆู„ู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 ุงูˆ ุจูŠุงู†ุงุช ู…ุด ู…ุงู„ูŠุฉ ุจูŠุงู†ุงุช ุนุจุฑ

537
00:37:14,610 --> 00:37:19,550
ุงู„ุฒู…ู† ุงู‡ ูˆุทู„ุนุช ุนู…ู„ูŠุง ู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 ุงูŠุถุง ู…ู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‚ ุงุตุบุฑ ู‚ูŠู… ูุงู‡ู…ูŠู†ูŠู‡ุŸ ููŠ ุญุงู„ุฉ ู…ู† ุงู„ุญู„ุงุช ู…ู…ูƒู†

541
00:37:32,550 --> 00:37:36,250
ูŠูƒูˆู† ู‡ุฐุง ู…ุซู„ุง ุฌุฑูŠุจ ุฌุฏุง ุนู„ู‰ ุงู„ุฎุท ุจุณ ุงู„ู…ู‡ู… ู…ุงูŠุนุฏูˆุด

542
00:37:36,250 --> 00:37:40,770
ูˆู…ู…ูƒู† ูŠู„ู…ุณู‡ุฃู‡ ุจู†ู‚ูˆู„ ู‡ู†ุง ููŠู‡ ุฎูˆู ุฃู†ู‡ุง ู…ุง ุชูƒูˆู†ุด

543
00:37:40,770 --> 00:37:44,410
white noise ุดูˆูŠุฉ ุดุฒูˆุฒ ุ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 ูˆ ุจูŠุตูŠุฑ ุงู„ุฎุจุฑุฉ

545
00:37:47,590 --> 00:37:51,630
.. ุฎุจุฑุชูƒ ููŠ ุงู„ุชุนู„ูŠู… ูุงู†ุชูˆุง ู…ุนุฐูˆุฑูŠู† ุฃู†ู‡ ุงู†ุชูˆุง ุชุดูƒูˆุง

546
00:37:51,630 --> 00:37:56,370
ูˆ ุชู„ุชุฎู…ูˆุง ุญุชู‰ ุงู„ุฎุจุฑุงุก ุจูŠุนู…ู„ูˆุง .. ูŠุนู†ูŠ ุจูŠุดูƒูˆุง ูˆ

547
00:37:56,370 --> 00:38:00,170
ุจูŠุฎุงููˆุง ูˆ ุจูŠุนุฑููˆุง ูˆ ุจูŠูƒูˆู†ูˆุง ู…ุด ู…ุชุฃูƒุฏ .. uncertain

548
00:38:00,170 --> 00:38:04,150
.. uncertain ุจุชูƒูˆู† ุงู†ุช ูŠุนู†ูŠ .. ู…ุด .. ู…ุด .. ู…ุด ..

549
00:38:04,150 --> 00:38:08,400
ุดูˆุฉ .. ู…ุด ู…ุชุฃูƒุฏุฉุงู„ู…ู‡ู… ูุงู‡ู…ูŠู† ู‡ู„ุฃ ุดูˆ ู‡ุฏู‰ white

550
00:38:08,400 --> 00:38:12,340
noise ุฎู„ุงุต ุฃู…ุญูŠู‡ุง ู‡ู„ุฃ ุจุงู„ู…ู‚ุตุฏุฉ ู‡ุฏู‰ ุงู„ white noise

551
00:38:12,340 --> 00:38:15,260
ุจุฏู‰ ู†ุ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„ ู‡ู†ุง ูˆุงุญุฏ ุทุจุนุง ุฑุณู…ุฉ ุงู„ ACF ุชูƒูˆู† ุนู†ุฏ ุงู„ leg zero

554
00:38:23,820 --> 00:38:29,100
ุงู„ leg zero ุชูƒูˆู† exactly ูˆุงุญุฏ ูˆ ุจุงู‚ู‰ ุงู„ leg ุทุจุนุง

555
00:38:29,100 --> 00:38:33,160
ุฌุฑูŠู ุฌุฏุง ู„ู„ูˆุงุญุฏ ุจุณ ุฃุฌู„ุณ ุดูˆูŠุฉ ู…ู† ุงู„ูˆุงุญุฏ ูŠุนู†ูŠ ู…ุซู„ุง

556
00:38:33,160 --> 00:38:43,960
point 9 9 9ูƒู„ู‡ู… ู‡ูŠูƒ ุจุชูˆู‚ุนุŒ ูƒู„ู‡ู… ุนู„ูŠุงุช ุฌุฏุงุŒ ูุงู„ุฏุงู…

557
00:38:43,960 --> 00:38:48,780
ุฏู‡ุงู†ุฉ ุชุซุจูŠุช ุทุจุน ุงู„ู‚ูŠู… ู‚ู„ูŠู„ ุฌุฏุงุŒ ูŠุนู†ูŠ almost ูˆุงุญุฏุŒ

558
00:38:48,780 --> 00:38:55,560
ุตุญ ููŠ ู‚ูŠู… ุชุชู†ุงุฒู„ุŒ ุจุณ ุฅูŠู‡ุŒ ุชู†ุงุฒู„ ุจุทูŠุก ุฌุฏุงุŒ ู…ุงููŠุด

559
00:38:55,560 --> 00:39:00,500
ู…ู…ูƒู† ูŠูƒูˆู† cutู‡ุฐู‡ ุฑุณู…ุฉ ุงูŠุด ู„ุญุงู„ู‡ุง ู…ุด ูƒูุงูŠุฉ ุงู†ู‡ุ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 ู…ุนุฏู‰ ุฎุงู†ุต ูˆ ุจุงู‚ู‰ ุงู„ู‚ูŠู… ู…ุงู„ู‡ู… ุนุงุฏ

562
00:39:08,680 --> 00:39:13,460
ุฃุณูุงุฑ ูŠุนู†ูŠ ุฌูˆุงุช ุงู„ุฎุทูŠู† ุงู„ุฒุฑู‚ ุฑุณู…ุชูŠู† ู…ุน ุจุนุถ ู‡ุฏูˆู„ุฉ

563
00:39:13,460 --> 00:39:17,220
ุจู‚ุชุฑุญูˆุง ุนู„ูŠ ู…ู† random walk ุทุจุนุง ุงู„ random walk

564
00:39:17,220 --> 00:39:20,660
ู…ูˆุถูˆุน ู…ู‡ู… ุฌุฏุง ุฌุฏุง ููŠ ุงู„ stock marketููŠ ุงู„ stock

565
00:39:20,660 --> 00:39:24,060
prices ููŠ ุณุนุฑ ุงู„ุนู…ู„ุฉ ูˆ ุงู„ุฃุณู‡ู… ูˆ ุงู„ุจูˆุฑุตุฉ ูˆ ุงู„ุ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…ุงุฏุง

567
00:39:27,020 --> 00:39:32,680
ูƒู„ูŠุง ุนู„ู‰ ุณุนุฑ ูˆ ู…ูŠู† ุจุงู„ุงู…ุณ ุฒูŠ ู‡ูŠ ู…ุงุดูŠ ุงู„ุจูˆุฑุตุฉ ุงู„ูŠูˆู…

568
00:39:32,680 --> 00:39:35,780
ุจุชุนุชู…ุฏ ุนู„ู‰ ุจุงู„ุงู…ุณ ูุงู„ stock market ุฏุงุฆู…ุง ูˆ ุบุงู„ุจุง

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 ุฃูŠู‡ ู‡ูˆ

573
00:39:48,360 --> 00:39:53,410
ุฃู‡ู…ูŠุชู‡ ุงู„ุฎุงุตุŸุทูŠุจ ุ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 ูˆ ุงู„ BACF ู„ู…ู†ุŸ ู„ู„

575
00:39:58,130 --> 00:40:03,070
auto-regressive ู„ู„ AR ูŠุนู†ูŠ ู„ู„ AR model ูˆ ู„ู„ 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 ุชู„ุงุชุฉูุจุชูˆู‚ุน ุฑุณู…ุฉ ุงู„

580
00:40:19,690 --> 00:40:25,790
partial ุงู†ู‡ ุงู†ู‡ ุนู†ุฏูŠ ู„ุงุฌ ูˆุงุญุฏ ู…ุนุฏูŠ ุนู†ุฏูŠ ู„ุงุฌ ุงุชู†ูŠู†

581
00:40:25,790 --> 00:40:28,810
ู…ุซู„ุง ู…ู…ูƒู† ู…ุนุฏูŠ ู‡ุงู† ูˆุนู†ุฏูŠ ู„ุงุฌ ุชู„ุงุชุฉ ู…ู…ู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„ุชุงู†ูŠ ุณุงู„ุจ ูˆู‡ุงูƒุฐุง ุงู„ู…ู‡ู… ู…ุนุฏูŠุงุช ุซู… ุจุงู‚ูŠ ุงู„

584
00:40:37,290 --> 00:40:41,970
lags ู…ุงู„ู‡ู… ุฃุตูุฑ ู‡ุ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 ุทุจุนุง lag zero ู…ุนุฑูˆู ุงู†ู‡ ูˆุงุญุฏ ุนู†ุฏูŠ lag ูˆุงุญุฏ ู‡ู†ุง

589
00:41:00,860 --> 00:41:07,200
ูˆ lag ุงุชู†ูŠู† ู‡ู†ุง ูˆ ู‡ู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
generalู„ูƒู† ู…ู…ูƒู† ุชู„ุงู‚ูŠ ุฑุณู…ุฉ ุชุงู†ูŠุฉ ูŠุง ุจู†ุงุช ุงู†ู‡

593
00:41:19,380 --> 00:41:25,480
ุชู„ุงู‚ูˆู‡ุง ุงูŠุด ุนู„ู‰ ุดูƒู„ ุงู„ sign ู‡ูŠูƒ ุทู„ุนู‡ ุทุจุนุง ุงู† ุงู†ุชูˆุง

594
00:41:25,480 --> 00:41:29,260
ุนุงุฑููŠู† ู‡ุฐู‡ ู‡ูŠ ุฏูŠ ุงูŠุด ุจูŠูƒูˆู† ุงู„ legs ู‡ุฏูˆู„ุฉ ู…ุนุงู‡

595
00:41:29,260 --> 00:41:35,580
ุงู†ุ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 ุงูˆ

597
00:41:39,800 --> 00:41:45,900
exponential ุฒูŠ ู‡ูŠูƒ ู…ุน ุฑุณู…ุฉ ุงู„ partialู‡ูˆ ุจูŠุนุทูŠู†ูŠ

598
00:41:45,900 --> 00:41:49,940
meaning autoregressive ุงุนูƒุณ ุ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ูˆุง ุนู„ู‰ ุฃู†ู‡ุง

601
00:41:59,420 --> 00:42:04,380
partial ุจูŠุตูŠุฑ moving average ุชู…ุงู…ุŸ ู…ุงููŠุด ุฏุงุนูŠ ุฃุนู…ู„

602
00:42:04,380 --> 00:42:10,020
ูˆุฎู„ุงุต ูˆุงุถุญุฉ ุงู„ู„ูŠ ู‡ูˆ ุฑุณู… ุงู„ุงุฑู…ุฉ ุงู„ุงุฑู…ุฉ ุงู„ุชู†ุชูŠู† ุฒูŠ

603
00:42:10,020 --> 00:42:16,240
ุฑุณู… ุงู„ sign ุงูˆ ุงู„ decay of ุฒูŠ ู‡ุงุชูู„ู…ุง ุชุฑุณู… ู‡ู†ุง ูˆ

604
00:42:16,240 --> 00:42:20,460
ุชุฑุณู… ุงู„ุชุงู†ูŠุฉ ุงู„ุชู†ุชูŠู† ู„ุงุฒู… ูŠูƒูˆู† ุดุจูŠู‡ุงุช ู…ุน ุจุนุถ ู…ูู‡ูˆู…

605
00:42:20,460 --> 00:42:25,560
ูˆ ู…ุด ุดุฑุท ูŠูƒูˆู† ุงู„ุชู†ุชูŠู† ุฒูŠ ุจุนุถ ุจุงู„ู…ู†ุงุณุจุฉ ู…ู…ูƒู† ุชูƒูˆู†

606
00:42:25,560 --> 00:42:29,840
ูˆุงุญุฏุฉ DK ูˆ ูˆุงุญุฏุฉ sign ูˆ ู…ู…ูƒู† ุชูƒูˆู† ุตุนุจ ุนู„ูŠูƒูˆุง

607
00:42:29,840 --> 00:42:34,620
ุชุดูˆููˆุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชู†ุงู‚ุต ุงู„ sign ุงูˆ ุ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„ุงุจุชู„ุชุฎู…ูˆุง ูˆู‡ุฐุง ุจูŠุตูŠุฑ ุทุจุนุง ุนุงุฏูŠ ู…ุงููŠุด

610
00:42:42,150 --> 00:42:47,450
ููŠู‡ุง ู…ุดูƒู„ุฉ ูุจุชุตูŠุฑ ุงู„ู…ู„ุงุญุธุฉ ูˆู…ู† ู‡ู†ุง ุงู†ุง ู…ุงุนู‚ุฏ ุงุนุชู‚ุฏ

611
00:42:47,450 --> 00:42:51,690
ู‡ุฏูˆู„ ุงู„ูŠู‡ ูˆู…ู† ู‡ู†ุง ุจุชูŠุฌูŠ ุงู„ุฎุจุฑุงุช ูˆู…ู† ู‡ู†ุง ุงู†ุช

612
00:42:51,690 --> 00:42:55,670
ุจุชุนู…ู„ูŠุด fitting ู„ model ูˆุงุญุฏ ุจุชุนู…ู„ูŠ ุงูƒุชุฑ ู…ู† model

613
00:42:55,670 --> 00:43:00,350
ุงู†ูƒ ุดุงูƒู‡ ุ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 ุงู†ุง ู‡ู†ุง ุงุนู…ู„

615
00:43:05,410 --> 00:43:11,240
autoregressive order ูˆุงุญุฏูˆุงู„ู„ู‡ ุงู„ .. ุงู„ูˆุฌุฏ ุฃุฏุฑูƒู†ูŠ

616
00:43:11,240 --> 00:43:16,140
ู…ุงููŠ ูˆุฌุฏ ูƒุชูŠุฑ ุ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…ู„ูŠุง ุงู„ู…ูˆุถูˆุน ุดุจู‡ ุฎู„ุต ุตุญุŸ ูˆ ู‡ุฐุง ุนู…ู„ูŠุง ุฅู†

619
00:43:25,660 --> 00:43:29,460
ุฅุญู†ุง ุนู…ู„ู†ุงู‡ ู…ุงุจุนุฑู ุฃู…ุฑ ุนู„ูŠู‡ู… ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุจุณุฑุนุฉ

620
00:43:29,460 --> 00:43:34,740
ุดุฏูŠุฏุฉ ูˆ ุฎู„ุตู†ุง ุฃู‡ุŸ ุนู„ู‰ ุฅูุชุฑุงุถ ุฅู†ู‡ ุฅุญู†ุง ู…ุบุทูŠู†ู‡ู… ุทุจุนุง

621
00:43:34,740 --> 00:43:38,820
ุงู„ุฑุณู… ู‡ุฐูŠ ู„ู„ seasonุฎู„ุงุต ุจู‚ุนุฏุชูƒูˆุง ูŠุนุทูŠูƒูˆุง ู„ู‡ุง

622
00:43:38,820 --> 00:43:39,460
ุงูุนุงู„ูŠุฉ ุงู„ูŠูˆู