delta_method.md
In weibulltools: Statistical Methods for Life Data Analysis

delta_method remains stable

[[1]]
 [1] 0.9164097 0.8911710 0.8105843 0.7319521 0.7074962 0.6697052 0.6590074
 [8] 0.5691703 0.5488356 0.5405618 0.5390291 0.5259885 0.5230402 0.4916299
[15] 0.4793032 0.4716210 0.4657753 0.4431228 0.4333918 0.3427039 0.3423083
[22] 0.3357129 0.3264348 0.3193287 0.3190757 0.3140997 0.3079214 0.3079214
[29] 0.3075580 0.3064055 0.3034196 0.3026637 0.3058597 0.3323382 0.3433150
[36] 0.3443387 0.3495601 0.3523657

[[2]]
 [1] 0.4312694 0.4186522 0.3790481 0.3417217 0.3304627 0.3134746 0.3087680
 [8] 0.2715444 0.2638364 0.2607950 0.2602380 0.2555838 0.2545534 0.2441299
[15] 0.2403465 0.2380869 0.2364212 0.2304464 0.2281383 0.2180933 0.2181215
[22] 0.2187608 0.2203242 0.2222720 0.2223577 0.2243608 0.2281560 0.2281560
[29] 0.2284563 0.2295007 0.2333202 0.2471826 0.2539689 0.2820327 0.2907291
[36] 0.2915051 0.2953898 0.2974315

[[3]]
 [1] 0.9824929 0.9542104 0.8643276 0.7774505 0.7506535 0.7095112 0.6979321
 [8] 0.6022601 0.5811121 0.5725773 0.5710011 0.5576540 0.5546532 0.5231171
[15] 0.5109890 0.5035127 0.4978694 0.4764214 0.4674415 0.3955890 0.3953569
[22] 0.3916875 0.3873193 0.3848712 0.3848037 0.3838501 0.3842058 0.3842058
[29] 0.3843167 0.3847752 0.3872473 0.4025335 0.4121386 0.4591209 0.4751152
[36] 0.4765644 0.4838670 0.4877353

[[4]]
 [1] 0.6977771 0.6892884 0.6599160 0.6275099 0.6165773 0.5987985 0.5935587
 [8] 0.5454579 0.5334162 0.5283767 0.5274339 0.5192916 0.5174200 0.4967213
[15] 0.4881873 0.4827398 0.4785247 0.4615710 0.4539556 0.3676959 0.3672186
[22] 0.3590127 0.3464948 0.3358112 0.3354071 0.3270071 0.3147569 0.3147569
[29] 0.3139320 0.3111940 0.3026592 0.2850580 0.2820336 0.2981146 0.3106824
[36] 0.3119485 0.3186200 0.3223417

[[5]]
 [1] 0.3603211 0.3553374 0.3383405 0.3201046 0.3140949 0.3044971 0.3017131
 [8] 0.2772758 0.2715265 0.2691713 0.2687342 0.2650064 0.2641618 0.2551525
[15] 0.2516291 0.2494436 0.2477881 0.2414655 0.2388142 0.2200200 0.2199922
[22] 0.2196932 0.2199539 0.2209799 0.2210353 0.2225013 0.2259271 0.2259271
[29] 0.2262255 0.2272896 0.2314831 0.2495742 0.2596378 0.3071485 0.3234429
[36] 0.3249287 0.3324422 0.3364411

[[6]]
 [1] 0.7539787 0.7438428 0.7089872 0.6709846 0.6582892 0.6377989 0.6317996
 [8] 0.5777315 0.5645305 0.5590528 0.5580313 0.5492528 0.5472465 0.5253701
[15] 0.5165329 0.5109535 0.5066710 0.4897787 0.4823806 0.4109028 0.4105976
[22] 0.4055787 0.3988572 0.3941968 0.3940432 0.3912829 0.3890544 0.3890544
[29] 0.3889995 0.3889210 0.3899105 0.4050487 0.4170750 0.4874901 0.5143632
[36] 0.5168550 0.5295464 0.5363579

[[7]]
 [1] 0.03555421 0.03688086 0.04149760 0.04664500 0.04839618 0.05126174
 [7] 0.05211080 0.06001763 0.06203413 0.06288319 0.06304239 0.06442210
[13] 0.06474050 0.06829592 0.06978177 0.07073696 0.07147988 0.07450464
[19] 0.07588436 0.09297160 0.09307773 0.09493504 0.09790674 0.10061310
[25] 0.10071924 0.10300107 0.10666263 0.10666263 0.10692796 0.10783008
[31] 0.11090791 0.12045978 0.12465199 0.14067792 0.14545386 0.14587839
[37] 0.14800103 0.14911541

[[1]]
 [1] 1942.735 1959.724 2005.645 2035.732 2041.587 2046.962 2047.627 2036.826
 [9] 2030.046 2026.809 2026.179 2020.431 2019.036 2002.009 1994.275 1989.172
[17] 1985.149 1968.522 1960.947 1899.775 1899.749 1900.323 1905.644 1915.690
[25] 1916.192 1929.044 1958.326 1958.326 1960.880 1970.014 2006.499 2173.878
[33] 2273.287 2787.655 2977.494 2995.088 3084.746 3132.918

[[2]]
 [1] 1564.541 1569.715 1584.710 1597.262 1600.859 1606.321 1607.881 1623.321
 [9] 1628.163 1630.397 1630.831 1634.798 1635.771 1648.376 1654.752 1659.254
[17] 1662.992 1680.586 1690.024 1914.299 1916.488 1956.725 2029.067 2103.996
[25] 2107.117 2177.687 2305.244 2305.244 2315.197 2349.772 2476.466 2960.961
[33] 3220.264 4506.284 4989.678 5035.084 5268.295 5394.924

[[3]]
 [1] 1871.515 1882.079 1908.758 1923.199 1925.143 1925.672 1925.272 1912.746
 [9] 1907.904 1905.774 1905.371 1901.845 1901.027 1892.118 1888.689 1886.638
[17] 1885.144 1880.227 1878.751 1933.580 1934.512 1952.360 1987.242 2026.293
[25] 2027.973 2066.919 2141.181 2141.181 2147.148 2168.045 2246.583 2566.122
[33] 2745.002 3671.855 4031.341 4065.360 4240.740 4336.425

[[4]]
 [1] 4788.507 4667.214 4279.481 3900.193 3781.948 3598.874 3546.957 3108.654
 [9] 3008.643 2967.833 2960.265 2895.763 2881.151 2724.691 2662.824 2624.108
[17] 2594.556 2479.176 2429.113 1931.905 1929.490 1888.520 1828.003 1778.214
[25] 1776.364 1738.439 1684.898 1684.898 1681.364 1669.693 1633.853 1560.159
[33] 1544.547 1563.433 1588.613 1591.200 1604.919 1612.623

[[5]]
 [1] 3271.092 3205.451 2992.451 2780.149 2713.415 2609.875 2580.512 2334.998
 [9] 2280.334 2258.281 2254.210 2219.772 2212.040 2131.231 2100.495 2081.691
[17] 2067.585 2014.900 1993.424 1864.145 1864.136 1865.523 1873.748 1887.496
[25] 1888.153 1904.402 1938.619 1938.619 1941.473 1951.547 1990.062 2146.393
[33] 2230.230 2615.935 2746.693 2758.603 2818.814 2850.852

[[6]]
 [1] 4264.559 4153.160 3799.184 3456.909 3351.243 3188.852 3143.102 2763.771
 [9] 2679.425 2645.309 2639.003 2585.532 2573.491 2446.432 2397.264 2366.851
[17] 2343.835 2255.814 2218.652 1906.601 1905.491 1887.656 1865.312 1851.451
[25] 1851.032 1844.225 1841.956 1841.956 1842.195 1843.406 1852.079 1920.530
[33] 1968.480 2235.010 2336.400 2345.849 2394.134 2420.167

[[7]]
 [1]   192.6362   216.2823   313.9829   454.3611   510.4902   612.2701
 [7]   644.8979  1007.8340  1118.7878  1167.9025  1177.2727  1260.6442
[13]  1280.4409  1516.1476  1622.8672  1694.1179  1750.9916  1996.0475
[19]  2115.2242  4018.8636  4033.3809  4293.2720  4732.5420  5158.4661
[25]  5175.6831  5555.4197  6203.8712  6203.8712  6252.7763  6421.0246
[31]  7018.3233  9112.3310 10152.7810 14879.6882 16535.5400 16688.5497
[37] 17468.1390 17887.2187

[[1]]
 [1] 0.1484855 0.1484855 0.1484855 0.1484855 0.1484855 0.1448143 0.1380983
 [8] 0.1369589 0.1362093 0.1319214 0.1315834 0.1238367 0.1236656 0.1233488
[15] 0.1222930 0.1222428 0.1223972 0.1225586 0.1234101 0.1236092 0.1251808
[22] 0.1255092 0.1258576 0.1262265 0.1274601 0.1294174 0.1294174 0.1311357
[29] 0.1317587 0.1337853 0.1345151 0.1352729 0.1360593 0.1360593 0.1368749
[36] 0.1377201 0.1377201 0.1434500 0.1467677 0.1467677 0.1467677 0.1467677
[43] 0.1558237 0.1558237 0.1603264 0.1603264 0.1687676 0.1706080 0.1744529
[50] 0.1744529 0.1764608 0.1785280 0.1785280 0.1851059 0.1874313 0.1922962
[57] 0.1974655 0.2029652 0.2217802 0.2289705 0.2289705 0.2408291 0.2451118
[64] 0.2451118 0.2591600 0.2697434 0.2951631 0.3310130 0.4319903 0.4319903
[71] 0.7139816 2.2182372

[[2]]
 [1] 0.2069512 0.2069512 0.2069512 0.2069512 0.2069512 0.1990173 0.1840685
 [8] 0.1814519 0.1797137 0.1694286 0.1685859 0.1459000 0.1452039 0.1438353
[15] 0.1369454 0.1358246 0.1327443 0.1318185 0.1293727 0.1290160 0.1272025
[22] 0.1269567 0.1267275 0.1265151 0.1259802 0.1255109 0.1255109 0.1253450
[29] 0.1253255 0.1253745 0.1254265 0.1254964 0.1255840 0.1255840 0.1256893
[36] 0.1258121 0.1258121 0.1269088 0.1276796 0.1276796 0.1276796 0.1276796
[43] 0.1300047 0.1300047 0.1312057 0.1312057 0.1334462 0.1339276 0.1349220
[50] 0.1349220 0.1354348 0.1359582 0.1359582 0.1375939 0.1381624 0.1393391
[57] 0.1405774 0.1418926 0.1465815 0.1485523 0.1485523 0.1521712 0.1536180
[64] 0.1536180 0.1589931 0.1637486 0.1776615 0.2010478 0.2540581 0.2540581
[71] 0.3068286 0.3552655

[[3]]
 [1] 0.3912176 0.3912176 0.3912176 0.3912176 0.3912176 0.3761233 0.3470873
 [8] 0.3419085 0.3384496 0.3176379 0.3159030 0.2666620 0.2650414 0.2618266
[15] 0.2449286 0.2420328 0.2337633 0.2311643 0.2239237 0.2228065 0.2167168
[22] 0.2158123 0.2149417 0.2141060 0.2118168 0.2093061 0.2093061 0.2078596
[29] 0.2074649 0.2065546 0.2063448 0.2061830 0.2060697 0.2060697 0.2060057
[36] 0.2059916 0.2059916 0.2069811 0.2081852 0.2081852 0.2081852 0.2081852
[43] 0.2128855 0.2128855 0.2157217 0.2157217 0.2215661 0.2229064 0.2257646
[50] 0.2257646 0.2272847 0.2288675 0.2288675 0.2340131 0.2358699 0.2398184
[57] 0.2441154 0.2488177 0.2663027 0.2737679 0.2737679 0.2873728 0.2927466
[64] 0.2927466 0.3123572 0.3293128 0.3776861 0.4578084 0.6442735 0.6442735
[71] 0.8433270 1.0411928

[[4]]
 [1] 2.883233e-01 2.883233e-01 2.883233e-01 2.883233e-01 2.883233e-01
 [6] 2.757267e-01 2.519331e-01 2.477342e-01 2.449350e-01 2.281395e-01
[11] 2.267398e-01 1.861507e-01 1.847511e-01 1.819518e-01 1.665560e-01
[16] 1.637567e-01 1.553590e-01 1.525597e-01 1.441620e-01 1.427623e-01
[21] 1.343646e-01 1.329650e-01 1.315653e-01 1.301657e-01 1.259669e-01
[26] 1.203684e-01 1.203684e-01 1.161695e-01 1.147699e-01 1.105710e-01
[31] 1.091714e-01 1.077717e-01 1.063721e-01 1.063721e-01 1.049725e-01
[36] 1.035729e-01 1.035729e-01 9.517511e-02 9.097623e-02 9.097623e-02
[41] 9.097623e-02 9.097623e-02 8.117886e-02 8.117886e-02 7.697999e-02
[46] 7.697999e-02 6.998186e-02 6.858224e-02 6.578299e-02 6.578299e-02
[51] 6.438336e-02 6.298374e-02 6.298374e-02 5.878486e-02 5.738524e-02
[56] 5.458599e-02 5.178674e-02 4.898749e-02 4.058974e-02 3.779049e-02
[61] 3.779049e-02 3.359162e-02 3.219200e-02 3.219200e-02 2.799312e-02
[66] 2.519387e-02 1.959537e-02 1.399688e-02 6.998757e-03 6.998757e-03
[71] 2.799895e-03 1.083632e-05

[[1]]
 [1] 23.289872 23.289872 23.289872 23.289872 23.289872 21.726492 18.940049
 [8] 18.472444 18.164931 16.393599 16.251889 12.573957 12.462882 12.244033
[15] 11.119944 10.930128 10.387482 10.215456  9.725372  9.647404  9.200959
[22]  9.129995  9.059976  8.990887  8.789020  8.531744  8.531744  8.346935
[29]  8.286754  8.110102  8.052419  7.995287  7.938674  7.938674  7.882547
[36]  7.826874  7.826874  7.500349  7.340195  7.340195  7.340195  7.340195
[43]  6.966624  6.966624  6.803490  6.803490  6.522309  6.464163  6.345473
[50]  6.345473  6.284801  6.223154  6.223154  6.031678  5.965433  5.828860
[57]  5.686308  5.537101  5.042124  4.858607  4.858607  4.562803  4.458221
[64]  4.458221  4.124632  3.884297  3.355747  2.760083  1.965443  1.965443
[71]  1.625458  1.688500

[[2]]
 [1] 31.395362 31.395362 31.395362 31.395362 31.395362 28.410368 23.378013
 [8] 22.569928 22.044260 19.106099 18.877721 13.310374 13.153453 12.846297
[15] 11.311901 11.060135 10.352478 10.131945  9.513942  9.417047  8.869912
[22]  8.784166  8.699897  8.617073  8.376964  8.075118  8.075118  7.861281
[29]  7.792207  7.591103  7.525987  7.461771  7.398416  7.398416  7.335887
[36]  7.274147  7.274147  6.918191  6.747861  6.747861  6.747861  6.747861
[43]  6.363447  6.363447  6.201987  6.201987  5.933953  5.880230  5.772442
[50]  5.772442  5.718325  5.664029  5.664029  5.499850  5.444633  5.333379
[57]  5.220976  5.107411  4.760897  4.644479  4.644479  4.471173  4.414304
[64]  4.414304  4.249277  4.146978  3.978461  3.906168  4.149619  4.149619
[71]  4.768152  5.911441

[[3]]
 [1] 42.777489 42.777489 42.777489 42.777489 42.777489 37.512876 29.181267
 [8] 27.905760 27.085137 22.628830 22.291600 14.464975 14.255112 13.846021
[15] 11.836644 11.512620 10.611273 10.333435  9.563704  9.444333  8.778242
[22]  8.675230  8.574402  8.475720  8.192154  7.841702  7.841702  7.598168
[29]  7.520447  7.297066  7.225725  7.155873  7.087465  7.087465  7.020460
[36]  6.954814  6.954814  6.587020  6.417916  6.417916  6.417916  6.417916
[43]  6.053477  6.053477  5.907369  5.907369  5.673026  5.627161  5.536118
[50]  5.536118  5.490863  5.445736  5.445736  5.310782  5.265830  5.175802
[57]  5.085447  4.994620  4.719133  4.626930  4.626930  4.490215  4.445634
[64]  4.445634  4.318109  4.241991  4.133990  4.152959  4.655853  4.655853
[71]  5.665450  7.397656

[[4]]
 [1] 30.65361746 30.65361746 30.65361746 30.65361746 30.65361746 28.90706959
 [7] 25.67746849 25.11729419 24.74551523 22.54353505 22.36230185 17.26755735
[13] 17.09769877 16.75920737 14.92744682 14.59999315 13.62833510 13.30808780
[19] 12.35857892 12.20199705 11.27281307 11.11969840 10.96709287 10.81500013
[25] 10.36183598  9.76502871  9.76502871  9.32312547  9.17693356  8.74174927
[31]  8.59783414  8.45450034  8.31175292  8.31175292  8.16959705  8.02803802
[37]  8.02803802  7.19152870  6.78179818  6.78179818  6.78179818  6.78179818
[43]  5.84908861  5.84908861  5.45983755  5.45983755  4.82590577  4.70142795
[49]  4.45486382  4.45486382  4.33279985  4.21156350  4.21156350  3.85294443
[55]  3.73514520  3.50224181  3.27303340  3.04765125  2.39596956  2.18747987
[61]  2.18747987  1.88365269  1.78487618  1.78487618  1.49654762  1.31141893
[67]  0.96005215  0.63767702  0.28670179  0.28670179  0.11500466  0.02714533