n = 50, p = 0.01 | n = 50, p = 0.1 | ||||||
k | 精确值 | 近似值 | 相对误差(%) | k | 精确值 | 近似值 | 相对误差(%) |
0 | 0.605006067 | 0 | 100 | 0 | 0.005153775 | 0 | 100 |
1 | 0.910564687 | 0.52271066 | 42.59489004 | 1 | 0.03378586 | 0.020462157 | 39.43573775 |
2 | 0.986182729 | 0.744852201 | 24.4711777 | 2 | 0.111728756 | 0.069438541 | 37.85078876 |
3 | 0.998403827 | 0.761165147 | 23.76179589 | 3 | 0.250293906 | 0.16367823 | 34.60558709 |
4 | 0.999854311 | 0.761355003 | 23.85340595 | 4 | 0.431198407 | 0.309464881 | 28.23144138 |
5 | 0.999989103 | 0.76135533 | 23.86363738 | 5 | 0.616123008 | 0.490788937 | 20.34237788 |
6 | 0.999999315 | 0.76135533 | 23.86441484 | 6 | 0.770226842 | 0.672112993 | 12.73830556 |
7 | 0.999999963 | 0.76135533 | 23.8644642 | 7 | 0.877854916 | 0.817899644 | 6.829747272 |
8 | 0.999999998 | 0.76135533 | 23.86446688 | 8 | 0.942132794 | 0.912139334 | 3.183570375 |
9 | 1 | 0.76135533 | 23.86446701 | 9 | 0.975462064 | 0.961115718 | 1.470723152 |
10 | 1 | 0.76135533 | 23.86446701 | 10 | 0.990645398 | 0.981577875 | 0.915314792 |
11 | 1 | 0.76135533 | 23.86446701 | 11 | 0.996780079 | 0.98845007 | 0.83569177 |
12 | 1 | 0.76135533 | 23.86446701 | 12 | 0.99899538 | 0.990305223 | 0.869889617 |
13 | 1 | 0.76135533 | 23.86446701 | 13 | 0.99971488 | 0.990707717 | 0.90097317 |
14 | 1 | 0.76135533 | 23.86446701 | 14 | 0.999926161 | 0.990777892 | 0.914894484 |
15 | 1 | 0.76135533 | 23.86446701 | 15 | 0.999982503 | 0.990787723 | 0.919494092 |
16 | 1 | 0.76135533 | 23.86446701 | 16 | 0.999996197 | 0.99078883 | 0.920740274 |
17 | 1 | 0.76135533 | 23.86446701 | 17 | 0.99999924 | 0.99078893 | 0.921031784 |
18 | 1 | 0.76135533 | 23.86446701 | 18 | 0.99999986 | 0.990788937 | 0.921092477 |
n = 50, p = 0.5 | n = 300, p = 0.01 | ||||||
k | 精确值 | 近似值 | 相对误差(%) | k | 精确值 | 近似值 | 相对误差(%) |
0 | 8.88E−16 | 0 | 100 | 0 | 0.049040894 | 0 | 100 |
1 | 4.53E−14 | 4.91E−12 | 10733.67801 | 1 | 0.197649664 | 0.082057668 | 58.48327455 |
2 | 1.13E−12 | 3.80E−11 | 3251.164138 | 2 | 0.422063918 | 0.240008659 | 43.13452318 |
3 | 1.85E−11 | 2.44E−10 | 1214.970751 | 3 | 0.647233775 | 0.459138624 | 29.06139299 |
4 | 2.23E−10 | 1.43E−09 | 539.6450308 | 4 | 0.816111167 | 0.678268589 | 16.89017189 |
5 | 2.10E−09 | 7.71E−09 | 266.1820025 | 5 | 0.917096437 | 0.836219579 | 8.818795289 |
6 | 1.62E−08 | 3.85E−08 | 137.3876346 | 6 | 0.967249054 | 0.918277248 | 5.062998585 |
7 | 1.05E−07 | 1.78E−07 | 69.56462718 | 7 | 0.988525921 | 0.948996158 | 3.998859615 |
8 | 5.82E−07 | 7.61E−07 | 30.8052282 | 8 | 0.996397288 | 0.9572805 | 3.925822366 |
9 | 2.81E−06 | 3.01E−06 | 7.332600314 | 9 | 0.998976905 | 0.958889366 | 4.01285941 |
10 | 1.19E−05 | 1.10E−05 | 7.421363735 | 10 | 0.999735156 | 0.959114277 | 4.063164012 |
11 | 4.51E−05 | 3.75E−05 | 16.85055103 | 11 | 0.999937078 | 0.959136899 | 4.08027463 |
12 | 1.53E−04 | 0.000118017 | 22.83027301 | 12 | 0.999986199 | 0.959138536 | 4.084822704 |
13 | 0.000468111 | 0.000344257 | 26.45833731 | 13 | 0.999997191 | 0.959138621 | 4.085868503 |
14 | 0.001301086 | 0.000931423 | 28.4118542 | 14 | 0.999999467 | 0.959138624 | 4.086086499 |
15 | 0.003300224 | 0.002338867 | 29.13003779 | 15 | 0.999999905 | 0.959138624 | 4.086128535 |
16 | 0.007673339 | 0.005454749 | 28.91296421 | 16 | 0.999999984 | 0.959138624 | 4.0861361 |
17 | 0.016419569 | 0.011825808 | 27.97735139 | 17 | 0.999999998 | 0.959138624 | 4.086137377 |
18 | 0.032454324 | 0.02385744 | 26.48917766 | 18 | 1 | 0.959138624 | 4.08613758 |
19 | 0.059460226 | 0.044843011 | 24.58318158 | 19 | 1 | 0.959138624 | 4.08613758 |
20 | 0.101319376 | 0.078649604 | 22.37456744 | 20 | 1 | 0.959138624 | 4.08613758 |
21 | 0.16111816 | 0.128949518 | 19.96587008 | 21 | 1 | 0.959138624 | 4.08613758 |
22 | 0.239943831 | 0.198071955 | 17.45069924 | 22 | 1 | 0.959138624 | 4.08613758 |
23 | 0.335905517 | 0.285803822 | 14.91541278 | 23 | 1 | 0.959138624 | 4.08613758 |
24 | 0.443862414 | 0.388648705 | 12.43937458 | 24 | 1 | 0.959138624 | 4.08613758 |
25 | 0.556137586 | 0.5 | 10.09419031 | 25 | 1 | 0.959138624 | 4.08613758 |
26 | 0.664094483 | 0.611351295 | 7.942121167 | 26 | 1 | 0.959138624 | 4.08613758 |
27 | 0.760056169 | 0.714196178 | 6.033763489 | 27 | 1 | 0.959138624 | 4.08613758 |
28 | 0.83888184 | 0.801928045 | 4.40512509 | 28 | 1 | 0.959138624 | 4.08613758 |
29 | 0.898680624 | 0.871050482 | 3.074522958 | 29 | 1 | 0.959138624 | 4.08613758 |
30 | 0.940539774 | 0.921350396 | 2.040251543 | 30 | 1 | 0.959138624 | 4.08613758 |
31 | 0.967545676 | 0.955156989 | 1.280424031 | 31 | 1 | 0.959138624 | 4.08613758 |
32 | 0.983580431 | 0.97614256 | 0.756203672 | 32 | 1 | 0.959138624 | 4.08613758 |
33 | 0.992326661 | 0.988174192 | 0.418457911 | 33 | 1 | 0.959138624 | 4.08613758 |
34 | 0.996699776 | 0.994545251 | 0.216165916 | 34 | 1 | 0.959138624 | 4.08613758 |
35 | 0.998698914 | 0.997661133 | 0.103913377 | 35 | 1 | 0.959138624 | 4.08613758 |
36 | 0.999531889 | 0.999068577 | 0.046352868 | 36 | 1 | 0.959138624 | 4.08613758 |
37 | 0.999847068 | 0.999655743 | 0.019135421 | 37 | 1 | 0.959138624 | 4.08613758 |
38 | 0.999954893 | 0.999881983 | 0.007291305 | 38 | 1 | 0.959138624 | 4.08613758 |
39 | 0.999988069 | 0.999962493 | 0.002557624 | 39 | 1 | 0.959138624 | 4.08613758 |
40 | 0.999997193 | 0.999988955 | 0.000823822 | 40 | 1 | 0.959138624 | 4.08613758 |
41 | 0.999999418 | 0.999996987 | 0.00024311 | 41 | 1 | 0.959138624 | 4.08613758 |
42 | 0.999999895 | 0.999999239 | 6.56E−05 | 42 | 1 | 0.959138624 | 4.08613758 |
43 | 0.999999984 | 0.999999822 | 1.62E−05 | 43 | 1 | 0.959138624 | 4.08613758 |
44 | 0.999999998 | 0.999999961 | 3.64E−06 | 44 | 1 | 0.959138624 | 4.08613758 |
45 | 1 | 0.999999992 | 7.49E−07 | 45 | 1 | 0.959138624 | 4.08613758 |
46 | 1 | 0.999999999 | 1.41E−07 | 46 | 1 | 0.959138624 | 4.08613758 |
47 | 1 | 1 | 2.44E−08 | 47 | 1 | 0.959138624 | 4.08613758 |
48 | 1 | 1 | 3.95E−09 | 48 | 1 | 0.959138624 | 4.08613758 |
49 | 1 | 1 | 6.44E−10 | 49 | 1 | 0.959138624 | 4.08613758 |
50 | 1 | 1 | 1.54E−10 | 50 | 1 | 0.959138624 | 4.08613758 |