Table 2. Comparison results of the 95% two-sided confidence intervals for the difference between the coefficients of variation of Weibull distributions for a = 2.
| (n, m) | k | Coverage probability (Expected length) | |||||
|---|---|---|---|---|---|---|---|
| CIδ(gci) | CIδ(pb) | CIδ(bs) | CIδ(m.HR) | CIδ(MCMC) | CIδ(HPD) | ||
| (10,10) | 0.5 | 0.9512 | 0.6242 | 0.6852 | 0.8266 | 0.9368 | 0.9466 |
| (7.9720) | (1.6763) | (1.6970) | (2.3414) | (5.2853) | (4.5489) | ||
| 1 | 0.9514 | 0.9630 | 0.9034 | 0.9632 | 0.9338 | 0.9674 | |
| (2.3568) | (1.1613) | (1.1622) | (1.3561) | (1.8368) | (1.7938) | ||
| 2 | 0.9430 | 0.8992 | 0.8744 | 0.9330 | 0.9300 | 0.9482 | |
| (1.7036) | (0.9226) | (0.9261) | (1.0758) | (1.3570) | (1.2881) | ||
| 2.5 | 0.9476 | 0.8730 | 0.8622 | 0.9128 | 0.9348 | 0.9396 | |
| (1.6354) | (0.8877) | (0.8907) | (1.0342) | (1.3011) | (1.2200) | ||
| 4 | 0.9474 | 0.8532 | 0.8490 | 0.8958 | 0.9294 | 0.9290 | |
| (1.5569) | (0.8388) | (0.8411) | (0.9825) | (1.2356) | (1.1332) | ||
| 9 | 0.9472 | 0.8552 | 0.8830 | 0.9058 | 0.9402 | 0.9388 | |
| (0.6355) | (0.5167) | (0.5229) | (0.5159) | (0.5988) | (0.5770) | ||
| (10,20) | 0.5 | 0.9500 | 0.7112 | 0.8002 | 0.8624 | 0.9398 | 0.9596 |
| (3.6607) | (1.5948) | (1.1618) | (1.7329) | (3.0961) | (2.9601) | ||
| 1 | 0.9502 | 0.9366 | 0.9000 | 0.9358 | 0.9394 | 0.9576 | |
| (1.8261) | (1.0249) | (1.0273) | (1.1529) | (1.4955) | (1.451) | ||
| 2 | 0.9512 | 0.8626 | 0.8586 | 0.9088 | 0.9380 | 0.9370 | |
| (1.5731) | (0.8627) | (0.8655) | (1.0039) | (1.2633) | (1.1696) | ||
| 2.5 | 0.9470 | 0.8464 | 0.8390 | 0.8936 | 0.9330 | 0.9260 | |
| (1.5644) | (0.8484) | (0.8518) | (0.9886) | (1.2476) | (1.1432) | ||
| 4 | 0.9604 | 0.8326 | 0.8300 | 0.8782 | 0.9324 | 0.9186 | |
| (1.5208) | (0.8193) | (0.8219) | (0.9596) | (1.2102) | (1.0956) | ||
| 9 | 0.9544 | 0.8356 | 0.8326 | 0.8840 | 0.9382 | 0.9204 | |
| (1.5123) | (0.8095) | (0.8134) | (0.9496) | (1.1960) | (1.0712) | ||
| (20,20) | 0.5 | 0.9538 | 0.6378 | 0.7808 | 0.8274 | 0.9440 | 0.9484 |
| (3.2994) | (1.5021) | (1.5258) | (1.5847) | (2.8817) | (2.6754) | ||
| 1 | 0.9478 | 0.9510 | 0.9156 | 0.9420 | 0.9402 | 0.9598 | |
| (1.2330) | (0.8735) | (0.8781) | (0.9134) | (1.1231) | (1.1132) | ||
| 2 | 0.9514 | 0.9008 | 0.9038 | 0.9346 | 0.9420 | 0.9526 | |
| (0.9275) | (0.6855) | (0.6899) | (0.7258) | (0.8490) | (0.8271) | ||
| 2.5 | 0.9512 | 0.8846 | 0.8936 | 0.9220 | 0.9414 | 0.9460 | |
| (0.8922) | (0.6606) | (0.6657) | (0.6971) | (0.8163) | (0.7900) | ||
| 4 | 0.9506 | 0.8738 | 0.8844 | 0.9186 | 0.9430 | 0.9468 | |
| (0.8582) | (0.6286) | (0.6334) | (0.6660) | (0.7847) | (0.7507) | ||
| 9 | 0.9486 | 0.8564 | 0.8692 | 0.9058 | 0.9370 | 0.9314 | |
| (0.8336) | (0.6079) | (0.6133) | (0.6444) | (0.7584) | (0.7186) | ||
| (30,30) | 0.5 | 0.9540 | 0.6384 | 0.8140 | 0.8240 | 0.9494 | 0.9486 |
| (2.3309) | (1.3775) | (1.4077) | (1.2727) | (2.1542) | (2.0485) | ||
| 1 | 0.9482 | 0.9486 | 0.9278 | 0.9346 | 0.9458 | 0.9600 | |
| (0.9231) | (0.7463) | (0.7532) | (0.7347) | (0.8719) | (0.8667) | ||
| 2 | 0.9570 | 0.9056 | 0.9134 | 0.9316 | 0.9508 | 0.9520 | |
| (0.7005) | (0.5752) | (0.5798) | (0.5827) | (0.6629) | (0.6512) | ||
| 2.5 | 0.9568 | 0.8922 | 0.9074 | 0.9314 | 0.9530 | 0.9536 | |
| (0.6806) | (0.5584) | (0.5636) | (0.5635) | (0.6437) | (0.6293) | ||
| 4 | 0.9484 | 0.8700 | 0.8902 | 0.9090 | 0.9404 | 0.9376 | |
| (0.6537) | (0.5371) | (0.5435) | (0.5374) | (0.6176) | (0.5992) | ||
| 9 | 0.9528 | 0.8602 | 0.8876 | 0.9068 | 0.9436 | 0.9378 | |
| (0.6341) | (0.5199) | (0.5262) | (0.5194) | (0.5916) | (0.5747) | ||
| (30,50) | 0.5 | 0.9532 | 0.6688 | 0.8768 | 0.8408 | 0.9496 | 0.9568 |
| (1.7003) | (1.2713) | (1.3092) | (1.0311) | (1.6218) | (1.5842) | ||
| 1 | 0.9540 | 0.9416 | 0.9306 | 0.9352 | 0.9500 | 0.9576 | |
| (0.8051) | (0.6830) | (0.6899) | (0.6549) | (0.7671) | (0.7609) | ||
| 2 | 0.9504 | 0.8884 | 0.9036 | 0.9200 | 0.9464 | 0.9444 | |
| (0.6717) | (0.5544) | (0.5595) | (0.5569) | (0.6366) | (0.6212) | ||
| 2.5 | 0.9512 | 0.8738 | 0.8988 | 0.9168 | 0.9462 | 0.9412 | |
| (0.6576) | (0.5405) | (0.5464) | (0.5436) | (0.6227) | (0.6055) | ||
| 4 | 0.9528 | 0.8776 | 0.8914 | 0.9124 | 0.9474 | 0.9436 | |
| (0.6435) | (0.5277) | (0.5341) | (0.5288) | (0.6088) | (0.5888) | ||
| 9 | 0.9472 | 0.8552 | 0.8830 | 0.9058 | 0.9402 | 0.9388 | |
| (0.6355) | (0.5167) | (0.5229) | (0.5159) | (0.5988) | (0.5770) | ||
| (50,50) | 0.5 | 0.9532 | 0.6506 | 0.8538 | 0.8144 | 0.9484 | 0.9532 |
| (1.6366) | (1.2485) | (0.9732) | (0.9766) | (1.5637) | (1.5147) | ||
| 1 | 0.9498 | 0.9378 | 0.9380 | 0.9338 | 0.9470 | 0.9564 | |
| (0.6698) | (0.6120) | (0.6178) | (0.5627) | (0.6484) | (0.6458) | ||
| 2 | 0.9512 | 0.9012 | 0.9158 | 0.9288 | 0.9476 | 0.9486 | |
| (0.5152) | (0.4690) | (0.4729) | (0.4476) | (0.4990) | (0.4931) | ||
| 2.5 | 0.9498 | 0.8882 | 0.9198 | 0.9300 | 0.9478 | 0.9500 | |
| (0.4994) | (0.4542) | (0.4588) | (0.4320) | (0.4834) | (0.4764) | ||
| 4 | 0.9484 | 0.8852 | 0.9108 | 0.9212 | 0.9464 | 0.9436 | |
| (0.4791) | (0.4367) | (0.4416) | (0.4116) | (0.4637) | (0.4549) | ||
| 9 | 0.9496 | 0.8812 | 0.9072 | 0.9142 | 0.9446 | 0.9430 | |
| (0.4689) | (0.4254) | (0.4299) | (0.4005) | (0.4520) | (0.4416) | ||
| (50,100) | 0.5 | 0.9546 | 0.7092 | 0.9182 | 0.8404 | 0.9522 | 0.9566 |
| (1.1315) | (1.1025) | (1.1526) | (0.7399) | (1.1044) | (1.0913) | ||
| 1 | 0.9506 | 0.9314 | 0.9384 | 0.9272 | 0.9508 | 0.9562 | |
| (0.5698) | (0.5402) | (0.5444) | (0.4860) | (0.5548) | (0.5511) | ||
| 2 | 0.9450 | 0.8936 | 0.9102 | 0.9134 | 0.9414 | 0.9390 | |
| (0.4902) | (0.4502) | (0.4552) | (0.4232) | (0.4749) | (0.4670) | ||
| 2.5 | 0.9530 | 0.8856 | 0.9162 | 0.9254 | 0.9524 | 0.9490 | |
| (0.4802) | (0.4380) | (0.4432) | (0.4141) | (0.4659) | (0.4572) | ||
| 4 | 0.9512 | 0.8882 | 0.9138 | 0.9198 | 0.9470 | 0.9454 | |
| (0.4730) | (0.4317) | (0.4369) | (0.4052) | (0.4579) | (0.4482) | ||
| 9 | 0.9504 | 0.8750 | 0.9034 | 0.9094 | – | – | |
| (0.4658) | (0.4256) | (0.4319) | (0.3979) | – | – | ||
| (100,100) | 0.5 | 0.9468 | 0.6818 | 0.9048 | 0.8158 | 0.9496 | 0.9468 |
| (1.0733) | (1.0585) | (1.1081) | (0.6835) | (1.0506) | (1.0325) | ||
| 1 | 0.9498 | 0.9374 | 0.9524 | 0.9300 | 0.9496 | 0.9512 | |
| (0.4518) | (0.4644) | (0.4673) | (0.3944) | (0.4446) | (0.4432) | ||
| 2 | 0.9552 | 0.9142 | 0.9438 | 0.9364 | 0.9538 | 0.9544 | |
| (0.3505) | (0.3527) | (0.3548) | (0.3145) | (0.3449) | (0.3424) | ||
| 2.5 | 0.9530 | 0.9043 | 0.9424 | 0.9294 | 0.9504 | 0.9504 | |
| (0.3393) | (0.3447) | (0.3475) | (0.3032) | (0.3340) | (0.3310) | ||
| 4 | 0.9472 | 0.8916 | 0.9320 | 0.9166 | 0.9446 | 0.9428 | |
| (0.3259) | (0.3323) | (0.3351) | (0.2889) | (0.3206) | (0.3170) | ||
| 9 | 0.9484 | 0.8944 | 0.9304 | 0.9170 | – | – | |
| (0.3189) | (0.3253) | (0.3286) | (0.2810) | – | |||