Таблица А.55
Оптимальные граничные точки
интервалов группирования при проверке сложных гипотез по критериям типа c 2 (при оценивании масштабного
параметра гамма-распределения и известных значениях основного параметра q 0)
и соответствующие значения относительной асимптотической информации A
k |
ti |
q 0 |
||||||||||||
0,1 |
0,25 |
0,5 |
0,75 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
||
2 |
t1 |
0,7065 |
0,8525 |
1,0982 |
1,3455 |
1,5936 |
2,5897 |
3,5881 |
4,5877 |
5,5870 |
6,5859 |
7,5862 |
8,5859 |
9,5857 |
A |
0,6598 |
0,6563 |
0,6522 |
0,6495 |
0,6476 |
0,6435 |
0,6416 |
0,6405 |
0,6398 |
0,6393 |
0,6390 |
0,6387 |
0,6385 |
|
3 |
t1 |
0,3798 |
0,4780 |
0,6499 |
0,8305 |
1,0178 |
1,8046 |
2,6312 |
2,6312 |
3,4804 |
4,3449 |
5,2218 |
6,1064 |
6,9992 |
t2 |
1,4817 |
1,6753 |
1,9909 |
2,3027 |
2,6117 |
3,8120 |
4,9820 |
4,9820 |
6,1305 |
7,2633 |
8,3868 |
9,4992 |
10,6068 |
|
A |
0,8308 |
0,8279 |
0,8244 |
0,8220 |
0,8203 |
0,8164 |
0,8146 |
0,8146 |
0,8136 |
0,8129 |
0,8125 |
0,8121 |
0,8119 |
|
4 |
t1 |
0,2500 |
0,3231 |
0,4566 |
0,6008 |
0,7530 |
1,4224 |
2,1483 |
2,9086 |
3,6932 |
4,4963 |
5,3143 |
6,1450 |
6,9826 |
t2 |
0,8951 |
1,0374 |
1,2808 |
1,5254 |
1,7695 |
2,7638 |
3,7603 |
4,7580 |
5,7561 |
6,7558 |
7,7565 |
8,7582 |
9,7563 |
|
t3 |
2,1030 |
2,3188 |
2,6760 |
3,0230 |
3,3606 |
4,6854 |
5,9544 |
7,1908 |
8,4032 |
9,6011 |
10,7828 |
11,9543 |
13,1133 |
|
A |
0,8992 |
0,8969 |
0,8943 |
0,8924 |
0,8910 |
0,8880 |
0,8865 |
0,8857 |
0,8851 |
0,8847 |
0,8844 |
0,8842 |
0,8840 |
|
5 |
t1 |
0,1814 |
0,2397 |
0,3493 |
0,4702 |
0,6009 |
1,1887 |
1,8439 |
1,8439 |
2,5439 |
3,2734 |
4,0293 |
4,7968 |
5,5778 |
t2 |
0,6258 |
0,7412 |
0,9408 |
1,1456 |
1,3552 |
2,2182 |
3,1084 |
3,1084 |
4,0131 |
4,9275 |
5,8543 |
6,7808 |
7,7121 |
|
t3 |
1,3482 |
1,5201 |
1,8053 |
2,0892 |
2,3734 |
3,4899 |
4,5910 |
4,5910 |
5,6816 |
6,7625 |
7,8416 |
8,9114 |
9,9743 |
|
t4 |
2,6117 |
2,8443 |
3,2256 |
3,5998 |
3,9653 |
5,3694 |
6,7061 |
6,7061 |
8,0054 |
9,2782 |
10,5214 |
11,7564 |
12,9657 |
|
A |
0,9332 |
0,9315 |
0,9294 |
0,9280 |
0,9269 |
0,9245 |
0,9233 |
0,9233 |
0,9226 |
0,9222 |
0,9219 |
0,9216 |
0,9214 |
Продолжение таблицы А.55
k |
ti |
q 0 |
||||||||||||
0,1 |
0,25 |
0,5 |
0,75 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
||
6 |
t1 |
0,1397 |
0,1880 |
0,2802 |
0,3846 |
0,4991 |
1,0287 |
1,6324 |
2,2861 |
2,9731 |
3,6884 |
4,4221 |
5,1685 |
5,9306 |
t2 |
0,4723 |
0,5687 |
0,7375 |
0,9159 |
1,0989 |
1,8751 |
2,6869 |
3,5271 |
4,3810 |
5,2533 |
6,1283 |
7,0103 |
7,9015 |
|
t3 |
0,9797 |
1,1220 |
1,3614 |
1,6074 |
1,8527 |
2,8453 |
3,8373 |
4,8364 |
5,8320 |
6,8391 |
7,8333 |
8,8296 |
9,8291 |
|
t4 |
1,7436 |
1,9343 |
2,2447 |
2,5606 |
2,8691 |
4,0795 |
5,2552 |
6,4136 |
7,5539 |
8,6922 |
9,8063 |
10,9170 |
12,0216 |
|
t5 |
3,0400 |
3,2810 |
3,6791 |
4,0753 |
4,4615 |
5,9323 |
7,3220 |
8,6669 |
9,9786 |
11,2763 |
12,5327 |
13,7804 |
15,0086 |
|
A |
0,9525 |
0,9512 |
0,9496 |
0,9484 |
0,9476 |
0,9456 |
0,9447 |
0,9441 |
0,9437 |
0,9435 |
0,9433 |
0,9432 |
0,9430 |
|
7 |
t1 |
0,1131 |
0,1535 |
0,2327 |
0,3256 |
0,4289 |
0,9116 |
1,4752 |
1,4752 |
2,0898 |
2,7453 |
3,4230 |
4,1327 |
4,8496 |
t2 |
0,3774 |
0,4584 |
0,6042 |
0,7635 |
0,9301 |
1,6347 |
2,3887 |
2,3887 |
3,1734 |
3,9861 |
4,8075 |
5,6502 |
6,4924 |
|
t3 |
0,7654 |
0,8835 |
1,0901 |
1,3105 |
1,5337 |
2,4264 |
3,3424 |
3,3424 |
4,2660 |
5,2083 |
6,1476 |
7,1031 |
8,0461 |
|
t4 |
1,3102 |
1,4654 |
1,7321 |
2,0130 |
2,2901 |
3,3666 |
4,4352 |
4,4352 |
5,4938 |
6,5580 |
7,6079 |
8,6690 |
9,7087 |
|
t5 |
2,1079 |
2,2992 |
2,6297 |
2,9770 |
3,3091 |
4,5805 |
5,8134 |
5,8134 |
7,0140 |
8,2107 |
9,3769 |
10,5512 |
11,6878 |
|
t6 |
3,4340 |
3,6717 |
4,0807 |
4,5037 |
4,8997 |
6,4177 |
7,8427 |
7,8427 |
9,2242 |
10,5817 |
11,8875 |
13,2029 |
14,4619 |
|
A |
0,9645 |
0,9634 |
0,9622 |
0,9613 |
0,9606 |
0,9590 |
0,9582 |
0,9582 |
0,9577 |
0,9574 |
0,9572 |
0,9571 |
0,9569 |
|
8 |
t1 |
0,0928 |
0,1287 |
0,1984 |
0,2806 |
0,3728 |
0,8186 |
1,3521 |
1,9358 |
2,5678 |
3,2212 |
3,8961 |
4,5905 |
5,3113 |
t2 |
0,3073 |
0,3808 |
0,5100 |
0,6507 |
0,7986 |
1,4483 |
2,1644 |
2,9061 |
3,6879 |
4,4737 |
5,2738 |
6,0845 |
6,9238 |
|
t3 |
0,6139 |
0,7233 |
0,9067 |
1,0983 |
1,2961 |
2,1198 |
2,9845 |
3,8549 |
4,7574 |
5,6484 |
6,5509 |
7,4522 |
8,3854 |
|
t4 |
1,0279 |
1,1720 |
1,4081 |
1,6492 |
1,8963 |
2,8816 |
3,8846 |
4,8743 |
5,8884 |
6,8772 |
7,8721 |
8,8570 |
9,8751 |
|
t5 |
1,5906 |
1,7692 |
2,0609 |
2,3535 |
2,6486 |
3,7983 |
4,9392 |
6,0508 |
7,1773 |
8,2659 |
9,3493 |
10,4202 |
11,5211 |
|
t6 |
2,3979 |
2,6129 |
2,9689 |
3,3173 |
3,6638 |
4,9957 |
6,2884 |
7,5340 |
8,7777 |
9,9785 |
11,1583 |
12,3244 |
13,5127 |
|
t7 |
3,7311 |
3,9860 |
4,4222 |
4,8452 |
5,2560 |
6,8140 |
8,2993 |
9,7080 |
11,1068 |
12,4460 |
13,7466 |
15,0296 |
16,3311 |
|
A |
0,9725 |
0,9716 |
0,9706 |
0,9698 |
0,9693 |
0,9679 |
0,9673 |
0,9669 |
0,9666 |
0,9665 |
0,9663 |
0,9662 |
0,9662 |
Окончание таблицы А.55
k |
ti |
q 0 |
||||||||||||
0,1 |
0,25 |
0,5 |
0,75 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
||
9 |
t1 |
0,0787 |
0,1105 |
0,1732 |
0,2468 |
0,3317 |
0,7477 |
1,2542 |
1,2542 |
1,8125 |
2,4090 |
3,0500 |
3,7153 |
4,3829 |
t2 |
0,2591 |
0,3247 |
0,4424 |
0,5680 |
0,7048 |
1,3128 |
1,9916 |
1,9916 |
2,6985 |
3,4307 |
4,2015 |
4,9899 |
5,7656 |
|
t3 |
0,5125 |
0,6105 |
0,7786 |
0,9500 |
1,1321 |
1,9002 |
2,7182 |
2,7182 |
3,5447 |
4,3833 |
5,2588 |
6,1427 |
7,0020 |
|
t4 |
0,8458 |
0,9750 |
1,1920 |
1,4057 |
1,6306 |
2,5477 |
3,4928 |
3,4928 |
4,4258 |
5,3630 |
6,3299 |
7,3017 |
8,2363 |
|
t5 |
1,2812 |
1,4412 |
1,7062 |
1,9630 |
2,2298 |
3,2927 |
4,3622 |
4,3622 |
5,3998 |
6,4329 |
7,4887 |
8,5432 |
9,5533 |
|
t6 |
1,8630 |
2,0541 |
2,3699 |
2,6730 |
2,9815 |
4,1986 |
5,3936 |
5,3936 |
6,5420 |
7,6728 |
8,8184 |
9,9642 |
11,0508 |
|
t7 |
2,6943 |
2,9094 |
3,2901 |
3,6410 |
3,9971 |
5,3871 |
6,7224 |
6,7224 |
7,9931 |
9,2315 |
10,4797 |
11,7227 |
12,8984 |
|
t8 |
4,0599 |
4,2886 |
4,7684 |
5,1767 |
5,5918 |
7,1980 |
8,7046 |
8,7046 |
10,1363 |
11,5204 |
12,8944 |
14,2592 |
15,5515 |
|
A |
0,9781 |
0,9773 |
0,9765 |
0,9758 |
0,9754 |
0,9742 |
0,9737 |
0,9737 |
0,9734 |
0,9732 |
0,9730 |
0,9729 |
0,9728 |
|
10 |
t1 |
0,0688 |
0,0954 |
0,1512 |
0,2198 |
0,2986 |
0,6874 |
1,1730 |
1,7117 |
2,2813 |
2,9098 |
3,5438 |
4,2105 |
4,8959 |
t2 |
0,2248 |
0,2791 |
0,3834 |
0,5018 |
0,6306 |
1,1971 |
1,8453 |
2,5302 |
3,2241 |
3,9814 |
4,7306 |
5,5070 |
6,2958 |
|
t3 |
0,4410 |
0,5213 |
0,6695 |
0,8323 |
1,0042 |
1,7168 |
2,4972 |
3,2967 |
4,0903 |
4,9485 |
5,7853 |
6,6483 |
7,5161 |
|
t4 |
0,7198 |
0,8247 |
1,0138 |
1,2192 |
1,4307 |
2,2753 |
3,1775 |
4,0800 |
4,9588 |
5,9058 |
6,8241 |
7,7616 |
8,6968 |
|
t5 |
1,0737 |
1,2005 |
1,4309 |
1,6780 |
1,9290 |
2,9025 |
3,9192 |
4,9213 |
5,8812 |
6,9146 |
7,9042 |
8,9150 |
9,9149 |
|
t6 |
1,5258 |
1,6740 |
1,9473 |
2,2374 |
2,5283 |
3,6316 |
4,7651 |
5,8642 |
6,9038 |
8,0252 |
9,0883 |
10,1727 |
11,2369 |
|
t7 |
2,1200 |
2,2914 |
2,6096 |
2,9480 |
3,2830 |
4,5230 |
5,7806 |
6,9823 |
8,1053 |
9,3172 |
10,4638 |
11,6243 |
12,7553 |
|
t8 |
2,9522 |
3,1494 |
3,5210 |
3,9151 |
4,3071 |
5,6989 |
7,0952 |
8,4071 |
9,6315 |
10,9424 |
12,1842 |
13,4376 |
14,6399 |
|
t9 |
4,3042 |
4,5387 |
4,9765 |
5,4556 |
5,9238 |
7,4973 |
9,0832 |
10,5148 |
11,8868 |
13,3275 |
14,6888 |
16,0601 |
17,3658 |
|
A |
0,9821 |
0,9815 |
0,9807 |
0,9802 |
0,9798 |
0,9789 |
0,9784 |
0,9781 |
0,9779 |
0,9778 |
0,9777 |
0,9776 |
0,9776 |
[Предыдущая][Содержание][Следующая]