Справочник по специальным функциям - Абрамович М.
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30 0. 07157 0, 04769 0. 03107 0. 01983 0. 01240 0. 00762 0. 00460 0. 00273 0. 00160 0. 00092
x2 = = 62 64 66 68 70 72 74 76
V т- = 31 32 33 34 35 36 37 38
21 0. 00001
22 0. 00001 0. 00001
23 0. 00002 0. 00001 0. 00001
24 0. 00003 0. 00002 0. 00001
25 0. 00006 0. 00003 0. 00002 0. 00001
26 0. 00009 0, 00005 0. 00003 0. 00001 0. 00001
27 0. 00014 0. 00008 0. 00004 0. 00002 0. 00001 0. 00001
28 0. 00023 0. 00012 0. 00007 0. 00004 0. 00002 0. 00001 0. 00001
29 0. 00035 0. 00019 0. 00011 0. 00006 0. 00003 0, 00002 0. 00001 00001
30 0. 00052 0. 00029 0. 00016 0. 00009 0. 00005 0. 00003 0. 00001 0.
(,f(*2M=l-P(*2W=[25r(g)] '_["„<.• '^=[!'(2)] 'JtI2е '?2 ' M= Де-"™/JH- четно,c-4«. m=l*2)
Интерполяция по X8:
Ctf I »)-G Ml'vo -4>[-J ®aj+?(Xol v0- 2)[Ф- ФЧ+2МІ vo) Ji - Ф + ІФ»|. Интерполяция по двум аргументам: GCx'l v) = 2(х»I V« - 4) H-?(xSI vo - 2Нф - Фа -и-Ф] +
+ й(х{| v0- 1) Jj»*- J»+ w®] +SMI v») [1 - IVs - Ф + і Ф' + и-®! +2(xSI vo + 1) Ji Ws + і W - »Фj- 172
26. РАСПРЕДЕЛЕНИЕ ВЕРОЯТНОСТЕЙ
Таблица
26.8. Процентные точки х2-Раснределення; значения Xs как функции ? и v
л« 0.995 0.99 0.975 0 95
1 < -5)3.92704 ( -4)1.57088 I ;-4)9.62069 t [-3)3.93214
2 -2)1.00251 ( -2)2.01007 I [-2)5.06356 0.102587
3 I -2)7.17212 0.114832 0.215795 0.351846
4 0.206990 0.297110 0.484419 0.710721
5 0.411740 0.554300 0.831211 1.145476
6 0.675727 0.872085 1.237347 1.63539
7 0.989265 1.239043 1.68987 2.16735
8 1.344419 1.646482 2.17973 2.73264
9 1.734926 2.087912 2.70039 3.32511
10 2.15585 2.55821 3.24697 3.94030
11 2.60321 3.05347 3.81575 4.57481
12 3.07382 3.57056 4.40379 5.22603
13 3.56503 4.10691 5.00В74 5.89186
14 4.07468 4.66043 5.62872 6.57063
15 4.60094 5.22935 6.26214 7.26094
16 5.14224 5.81221 6.90766 7.96164
17 5.69724 6.40776 7.56418 8.67176 :
18 6.26481 7.01491 8.23075 9.39046
19 6.84398 7.63273 8.90655 10.1170
20 7.43386 8.26040 9.59083 10.8508
21 8.03366 8.89720 10.28293 11.5913
22 8.64272 9.54249 10.9823 12.3380
23 9.26042 10.19567 11.6885 13.0905
24 9.88623 10.8564 12.4011 13.8484
25 10.5197 11.5240 13.1197 14.6114
26 11.1603 12.1981 13.8439 15.3791
27 11.8076 12.8786 14.5733 16.151}
28 12.4613 13.5648 15.3079 16.9279
29 13.1211 14.2565 16.0471 17.7083
30 13.7867 14.9535 16.7908 18.4926
40 20.7065 22.164} 24.4331 26.509}
Io 27.9907 29.7067 32.3574 34.7642
60 35.5346 37.4848 40.4817 43.1879
70 43.2752 45.4418 48.7576 51.7393
80 51.1720 53.5400 57.1532 60.3915
90 59.1963 61.7541 65.6466 69.1260
100 67.3276 70.0643 74.2219 77.9295
X -2.5758 -2.3263 -1.9600 -1.6449
0(хг1*>
0.0 0.0157908 0.210720 0.584375 1.063623 1.61031
2.20413 2.83311 3.48954 4.16816 4.86518
5.57779 6.30380 7.04150 7.78953 8.54675
9.31223 10.0852 10.8649 11.6509 12.4426
13.2396 14.0415 14.8479 15.6587 16.4734
17.2919 18.1138 18.9392 19.7677 20.5992
29.0505 37.6886 46.4589 55.3290 64.2778
73.2912 82.3581
-1.2816
іfill''dl
0.75 0.101531 0.575364 1.212534 1.92255 2.67460
3.45460 4.25485 5.07064 5.89883 6.73720-
0.5 0.454937 1.38629 2.36597 3.35670 4.35146
5.34812 6.34581 7.34412 8.34283 9.34182
7.58412 10.3410 8.43842 11.3403 9.29906 12.3398
10.1653 13.3393
11.0365 14.3389
11.9122 12.7919 13.6753 14.5620 15.4518
16.3444 17.2396 18.1373 19.0372 19.9393
20.8434 21.7494 22.6572 23.5666 24.4776
33.6603 42.9421 52.2938 61.6983 71.1445
80.6247 90.1332
15.3385 16.3381 17.3379 18.3376 19.3374
20.3372 21.3370 22.3369 23.3367 24.3366
25.3364 26.3363 27.3363 28.3362 29.3360
39.3354 49.3349 59.3347 69.3344 79.3343
89.3342 99.3341
0.2.5 1.32330 2.77259 4.10835 5.38527 6.62568
7.84080 9.03715 10.2188 11.3887 12.5489
13.7007 14.8454 15.9839 17.1170 18.2451
19.3686 20.4887 21.6049 22.7178 23.8277
24.9348 26.0393 27.1413 28.2412 29.3389
30.4345 31.5284 32.6205 33.7109 34.7998
45.6160 56.3336 66.9814 77.5766 88.1303
98.6499 109.141
-0.6745 0.0000 0.6745
Взято из [26.11]. процентные точки х'-распределения
773
Таблица 26.8. Процентные точка /^-распределения; значения у.2 как функции Q в '
0.1 0.05 0.025 0.01 0 005 0.001 0.0005 0.0001
1 2.70554 3.84146 5.02389 6.63490 7.87944 10.828 12.116 15.137
2 4.60517 5.99147 7.37776 9.21034 10.5966 13.816 15.202 18.421
Э 6.25139 7.81473 9.34840 11.3449 12.8381 16.266 17.730 21.108
4 7.77944 9.48773 11.1433 13.2767 14.8602 18.467 19.997 23.513
5 9.23635 11.0705 12.8325 15.0863 16.7496 20.515 22.105 25.745
6 10.6446 12.5916 14.4494 16.8119 18.5476 22.458 24.103 27.856
7 12.0170 14.0671 16.0128 18.4753 20.2 777 24.322 26.018 29.877
8 13.3616 15.5073 17.5346 20.0902 21.9550 26.125 27.868 31.828
9 14.6837 16.9190 19.022В 21.6660 23.5893 27.877 29.666 33.720
10 15.9871 18.3070 20.4831 23.2093 25.1882 29.588 31.420 35.564
11 17.2750 19.6751 21.9200 24.7250 26.7569 31.264 33.137 37.367
12 18.5494 21.0261 23.3367 26.2170 28.2995 32.909 34.821 39.134
