Research Article
Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples
Table 2
Bayes estimators and posterior risks under Jeffreys prior.
| | Left censored | Singly type II censored | Doubly type II censored | LLF | PLF | QLF | LLF | PLF | QLF | LLF | PLF | QLF |
| | | 20 | 2.15700 | 2.23948 | 2.10472 | 2.18567 | 2.25330 | 2.14392 | 2.17414 | 2.24852 | 2.12774 | (0.09013) | (0.08687) | (0.06096) | (0.07425) | (0.07059) | (0.05276) | (0.08150) | (0.07791) | (0.05330) | 30 | 2.10207 | 2.18245 | 2.05113 | 2.13001 | 2.19592 | 2.08932 | 2.11878 | 2.19126 | 2.07356 | (0.06081) | (0.05861) | (0.04064) | (0.05009) | (0.04762) | (0.03517) | (0.05499) | (0.05256) | (0.03044) | 50 | 2.07404 | 2.15335 | 2.02377 | 2.10161 | 2.16664 | 2.06146 | 2.09052 | 2.16204 | 2.04591 | (0.05236) | (0.05047) | (0.02439) | (0.04313) | (0.04101) | (0.01953) | (0.04735) | (0.04526) | (0.02168) | 70 | 2.05268 | 2.13117 | 2.00293 | 2.07996 | 2.14432 | 2.04022 | 2.06899 | 2.13977 | 2.02483 | (0.04008) | (0.03863) | (0.01742) | (0.03301) | (0.03139) | (0.01507) | (0.03624) | (0.03464) | (0.01304) | 100 | 2.01068 | 2.08757 | 1.96822 | 2.03545 | 2.09843 | 2.00487 | 2.01425 | 2.05122 | 1.98975 | (0.02438) | (0.02435) | (0.01219) | (0.02007) | (0.01979) | (0.00976) | (0.02204) | (0.02184) | (0.01084) | 150 | 2.00195 | 2.07850 | 1.96066 | 2.02049 | 2.08301 | 1.99716 | 1.99994 | 2.02645 | 1.98209 | (0.01604) | (0.01613) | (0.00813) | (0.01321) | (0.01311) | (0.00651) | (0.01449) | (0.01447) | (0.00723) |
| | | 20 | 4.19681 | 4.35729 | 4.09510 | 4.25259 | 4.38418 | 4.17136 | 4.23016 | 4.37488 | 4.13988 | (0.14933) | (0.14393) | (0.10101) | (0.12301) | (0.11695) | (0.08741) | (0.13503) | (0.12907) | (0.08831) | 30 | 4.17403 | 4.33363 | 4.07286 | 4.22950 | 4.36038 | 4.14870 | 4.20719 | 4.35113 | 4.11741 | (0.10075) | (0.09711) | (0.06734) | (0.08299) | (0.07890) | (0.05827) | (0.09110) | (0.08708) | (0.05043) | 50 | 4.13910 | 4.29737 | 4.03879 | 4.19411 | 4.32389 | 4.11399 | 4.17199 | 4.31472 | 4.08295 | (0.08675) | (0.08362) | (0.04040) | (0.07146) | (0.06794) | (0.03235) | (0.07844) | (0.07499) | (0.03593) | 70 | 4.13752 | 4.29573 | 4.03724 | 4.19251 | 4.32224 | 4.11242 | 4.17039 | 4.31307 | 4.08139 | (0.06640) | (0.06400) | (0.02886) | (0.05470) | (0.05200) | (0.02497) | (0.06004) | (0.05739) | (0.02161) | 100 | 4.06049 | 4.21575 | 3.99442 | 4.11049 | 4.23769 | 4.04875 | 4.06770 | 4.14235 | 4.01821 | (0.04039) | (0.04034) | (0.02020) | (0.03326) | (0.03279) | (0.01618) | (0.03651) | (0.03618) | (0.01795) | 150 | 4.04284 | 4.19743 | 3.99179 | 4.08028 | 4.20654 | 4.03317 | 4.03879 | 4.09232 | 4.00275 | (0.02657) | (0.02673) | (0.01346) | (0.02188) | (0.02172) | (0.01078) | (0.02402) | (0.02397) | (0.01198) |
| | | 20 | 6.48226 | 6.73013 | 6.32516 | 6.56842 | 6.77167 | 6.44294 | 6.53377 | 6.75730 | 6.39433 | (0.28372 | (0.27346) | (0.19191) | (0.23372) | (0.22220) | (0.16608) | (0.25655) | (0.24524) | (0.16779) | 30 | 6.44706 | 6.69359 | 6.29081 | 6.53275 | 6.73489 | 6.40795 | 6.49829 | 6.72061 | 6.35961 | (0.19142 | (0.18450) | (0.12794) | (0.15768) | (0.14991) | (0.11072) | (0.17309) | (0.16546) | (0.09582) | 50 | 6.39312 | 6.63758 | 6.23817 | 6.47809 | 6.67854 | 6.35434 | 6.44391 | 6.66438 | 6.30640 | (0.16483 | (0.15887) | (0.07676) | (0.13578) | (0.12909) | (0.06147) | (0.14905) | (0.14247) | (0.06826) | 70 | 6.32657 | 6.56848 | 6.17324 | 6.41065 | 6.60902 | 6.28819 | 6.37684 | 6.59500 | 6.24075 | (0.12616 | (0.12160) | (0.05483) | (0.10393) | (0.09880) | (0.04745) | (0.11408) | (0.10905) | (0.04106) | 100 | 6.14588 | 6.38089 | 6.04589 | 6.22157 | 6.41409 | 6.12811 | 6.15679 | 6.26978 | 6.08189 | (0.07673 | (0.07664) | (0.03838) | (0.06319) | (0.06230) | (0.03074) | (0.06936) | (0.06875) | (0.03411) | 150 | 6.07266 | 6.30486 | 6.03308 | 6.12889 | 6.31854 | 6.05813 | 6.06656 | 6.14697 | 6.01243 | (0.05048 | (0.05079) | (0.02558) | (0.04158) | (0.04127) | (0.02048) | (0.04563) | (0.04554) | (0.02275) |
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