Добавил:
Upload Опубликованный материал нарушает ваши авторские права? Сообщите нам.
Вуз: Предмет: Файл:

Мат_Стат

.pdf
Скачиваний:
11
Добавлен:
23.02.2015
Размер:
1.05 Mб
Скачать

182

ПРИЛОЖЕНИЕ 5 (продолжение)

Уровень значимости a = 0,05

 

 

 

 

 

 

 

 

k1

 

 

 

 

 

 

 

k2

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

1

161,45 199,5 215,71224,58230,16233,99236,77238,88240,54241,88242,98 243,9 244,69245,36245,95

2

18,513

19

19,16419,24719,29619,32919,35319,37119,38519,39619,40519,41219,41919,42419,429

3

10,1289,55219,27669,11729,01348,94078,88678,84528,81238,78558,76338,74478,72868,71498,7028

4

7,70866,94436,59146,38826,25616,16316,0942 6,041 5,99885,96445,93585,91175,89115,87335,8578

5

6,60795,78615,40945,19225,05034,95034,87594,81834,77254,7351 4,704 4,67774,65524,63584,6188

6

5,98745,14324,75714,53374,38744,28394,20674,1468 4,099

4,06

4,02743,99993,97643,95593,9381

7

5,59154,73744,34684,12033,9715 3,866 3,78713,72573,67673,6365 3,603 3,57473,55033,52923,5107

8

5,3176 4,459 4,06623,83793,68753,58063,50053,43813,38813,34723,31293,2839 3,259 3,23743,2184

9

5,11744,25653,86253,63313,48173,37383,29273,22963,17893,13733,10253,07293,04753,02553,0061

10

4,96464,10283,7083 3,478 3,32583,21723,13553,07173,02042,9782 2,943

2,913 2,88722,8647 2,845

11

4,84433,98233,58743,35673,20393,09463,0123 2,948 2,89622,85362,81792,78762,76142,73862,7186

12

4,74723,88533,49033,25923,10592,99612,91342,84862,79642,75342,71732,68662,66022,63712,6169

13

4,66723,80563,41053,17913,02542,91532,83212,76692,7144 2,671 2,63462,60372,57692,55362,5331

14

4,60013,73893,34393,11222,95822,84772,76422,69872,64582,60222,56552,53422,50732,4837 2,463

15

4,54313,68233,28743,05562,90132,79052,70662,64082,58762,54372,50682,47532,44812,42442,4034

16

4,494 3,63373,23893,00692,85242,74132,65722,59112,53772,49352,45642,42472,39732,37332,3522

17

4,45133,59153,19682,9647

2,81

2,69872,6143 2,548 2,49432,44992,41262,38072,3531 2,329 2,3077

18

4,41393,55463,15992,92772,77292,66132,57672,51022,45632,41172,37422,34212,3143

2,29

2,2686

19

4,38083,52193,12742,89512,74012,62832,54352,47682,42272,37792,3402 2,308

2,28

2,25562,2341

20

4,35133,49283,09842,86612,7109 2,599

2,514 2,44712,39282,3479

2,31

2,27762,2495 2,225 2,2033

Приложения

183

 

 

 

ПРИЛОЖЕНИЕ 5 (продолжение)

Уровень значимости a = 0,1

 

 

 

 

 

 

 

 

k1

 

 

 

 

 

 

 

k2

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

139,864 49,5 53,593 55,833 57,24 58,204 58,906 59,439 59,857 60,195 60,473 60,705 60,902 61,073 61,22

28,5263 9 9,1618 9,2434 9,2926 9,3255 9,3491 9,3668 9,3805 9,3916 9,4006 9,4082 9,4145 9,42 9,4247

35,5383 5,4624 5,3908 5,3427 5,3091 5,2847 5,2662 5,2517 5,24 5,2304 5,2224 5,2156 5,2098 5,2047 5,2003

44,5448 4,3246 4,1909 4,1072 4,0506 4,0097 3,979 3,9549 3,9357 3,9199 3,9067 3,8955 3,8859 3,8776 3,8704

54,0604 3,7797 3,6195 3,5202 3,453 3,4045 3,3679 3,3393 3,3163 3,2974 3,2816 3,2682 3,2567 3,2468 3,238

63,776 3,4633 3,2888 3,1808 3,1075 3,0546 3,0145 2,983 2,9577 2,9369 2,9195 2,9047 2,892 2,8809 2,8712

73,5894 3,2574 3,0741 2,9605 2,8833 2,8274 2,7849 2,7516 2,7247 2,7025 2,6839 2,6681 2,6545 2,6426 2,6322

83,4579 3,1131 2,9238 2,8064 2,7264 2,6683 2,6241 2,5893 2,5612 2,538 2,5186 2,502 2,4876 2,4752 2,4642

93,3603 3,0064 2,8129 2,6927 2,6106 2,5509 2,5053 2,4694 2,4403 2,4163 2,3961 2,3789 2,364 2,351 2,3396

10 3,285 2,9245 2,7277 2,6053 2,5216 2,4606 2,414 2,3771 2,3473 2,3226 2,3018 2,2841 2,2687 2,2553 2,2435

11 3,2252 2,8595 2,6602 2,5362 2,4512 2,3891 2,3416 2,304 2,2735 2,2482 2,2269 2,2087 2,193 2,1792 2,1671

12 3,1766 2,8068 2,6055 2,4801 2,394 2,331 2,2828 2,2446 2,2135 2,1878 2,166 2,1474 2,1313 2,1173 2,1049

13 3,1362 2,7632 2,5603 2,4337 2,3467 2,283 2,2341 2,1953 2,1638 2,1376 2,1155 2,0966 2,0802 2,0658 2,0532

14 3,1022 2,7265 2,5222 2,3947 2,3069 2,2426 2,1931 2,1539 2,122 2,0954 2,073 2,0537 2,037 2,0224 2,0095

15 3,0732 2,6952 2,4898 2,3614 2,273 2,2081 2,1582 2,1185 2,0862 2,0593 2,0366 2,0171 2,0001 1,9853 1,9722

16 3,0481 2,6682 2,4618 2,3327 2,2438 2,1783 2,128 2,088 2,0553 2,0281 2,0051 1,9854 1,9682 1,9532 1,9399

17 3,0262 2,6446 2,4374 2,3077 2,2183 2,1524 2,1017 2,0613 2,0284 2,0009 1,9777 1,9577 1,9404 1,9252 1,9117

18 3,007 2,6239 2,416 2,2858 2,1958 2,1296 2,0785 2,0379 2,0047 1,977 1,9535 1,9333 1,9158 1,9004 1,8868

19 2,9899 2,6056 2,397 2,2663 2,176 2,1094 2,058 2,0171 1,9836 1,9557 1,9321 1,9117 1,894 1,8785 1,8647

20 2,9747 2,5893 2,3801 2,2489 2,1582 2,0913 2,0397 1,9985 1,9649 1,9367 1,9129 1,8924 1,8745 1,8588 1,8449

184

ПРИЛОЖЕНИЕ 6

Критерий Колмогорова

 

K (x)= lim P (λn < x)=1+2(1)k e2k 2 x2 , x 0 .

n→∞

k =1

 

 

 

 

 

Приложения

185

 

 

 

ПРИЛОЖЕНИЕ 6 (продолжение)

x

K(x)

x

K(x)

x

K(x)

 

 

 

 

 

 

0.200

5.0515148e-13

0.825

0.4959458

1.450

0.9701585

 

 

 

 

 

 

0.225

2.9067959e-10

0.850

0.5346808

1.475

0.9742187

 

 

 

 

 

 

0.250

2.6823810e-8

0.875

0.5718426

1.500

0.9777820

 

 

 

 

 

 

0.275

7.4978976e-7

0.900

0.6072693

1.525

0.9809007

 

 

 

 

 

 

0.300

9.3058013e-6

0.925

0.6408494

1.550

0.9836226

 

 

 

 

 

 

0.325

6.5259653e-5

0.950

0.6725145

1.575

0.9859917

 

 

 

 

 

 

0.350

3.0285263e-4

0.975

0.7022323

1.600

0.9880480

 

 

 

 

 

 

0.375

1.0351449e-3

1.000

0.7300003

1.625

0.9898279

 

 

 

 

 

 

0.400

2.8076732e-3

1.025

0.7558406

1.650

0.9913643

 

 

 

 

 

 

0.425

6.3737237e-3

1.050

0.7797944

1.675

0.9926870

 

 

 

 

 

 

0.450

0.0125894

1.075

0.8019187

1.700

0.9938226

 

 

 

 

 

 

0.475

0.0222693

1.100

0.8222818

1.725

0.9947948

 

 

 

 

 

 

0.500

0.0360548

1.125

0.8409611

1.750

0.9956250

 

 

 

 

 

 

0.525

0.0543280

1.150

0.8580401

1.775

0.9963320

 

 

 

 

 

 

0.550

0.0771832

1.175

0.8736065

1.800

0.9969324

 

 

 

 

 

 

0.575

0.1044449

1.200

0.8877503

1.825

0.9974409

 

 

 

 

 

 

0.600

0.1357172

1.225

0.9005625

1.850

0.9978705

 

 

 

 

 

 

0.625

0.1704469

1.250

0.9121336

1.875

0.9982323

 

 

 

 

 

 

0.650

0.2079870

1.275

0.9225530

1.900

0.9985364

 

 

 

 

 

 

0.675

0.2476524

1.300

0.9319078

1.925

0.9987912

 

 

 

 

 

 

0.700

0.2887648

1.325

0.9402825

1.950

0.9990041

 

 

 

 

 

 

0.725

0.3306849

1.350

0.9477581

1.975

0.9991816

 

 

 

 

 

 

0.750

0.3728330

1.375

0.9544122

2.000

0.9993291

 

 

 

 

 

 

0.775

0.4147012

1.400

0.9603181

2.025

0.9994514

 

 

 

 

 

 

0.800

0.4558576

1.425

0.9655452

2.050

0.9995525