Research Article

Bayesian Estimation of Gumbel Type-II Distribution under Type-II Censoring with Medical Applications

Table 2

Average ML and Bayesian estimates with corresponding MSEs (within parenthesis) using different percentages of failures for β = 1.5 (when a = b = c = d = 2, k = 1).

nPercentMLBSELFBGELFBLINEX

25401.5418 (0.1538)1.6030 (0.1852)1.3879 (0.1131)1.3988 (0.1042)
601.5907 (0.1522)1.6488 (0.1737)1.4357 (0.0886)1.4448 (0.0842)
801.5725 (0.1338)1.6280 (0.1651)1.4255 (0.0827)1.4346 (0.0782)

50401.5211 (0.0635)1.5473 (0.0684)1.4455 (0.0548)1.4521 (0.0526)
601.5396 (0.0575)1.5644 (0.0632)1.4677 (0.0467)1.4735 (0.0451)
801.5358 (0.0565)1.5609 (0.0624)1.4658 (0.0458)1.4715 (0.0442)

80401.5147 (0.0351)1.5303 (0.0371)1.4676 (0.0320)1.4721 (0.0312)
601.5215 (0.0349)1.5364 (0.0364)1.4774 (0.0311)1.4814 (0.0304)
801.5262 (0.0341)1.5415 (0.0363)1.4830 (0.0297)1.4869 (0.0291)

100401.5026 (0.0298)1.5149 (0.0306)1.4654 (0.0285)1.4691 (0.0279)
601.5220 (0.0260)1.5338 (0.0272)1.4868 (0.0237)1.4901 (0.0233)
801.5158 (0.0249)1.5278 (0.0262)1.4817 (0.0224)1.4850 (0.0221)

150401.5033 (0.0191)1.5114 (0.0194)1.4784 (0.0184)1.4809 (0.0182)
601.5118 (0.0165)1.5194 (0.0170)1.4886 (0.0157)1.4909 (0.0155)
801.5067 (0.0163)1.5145 (0.0168)1.4842 (0.0153)1.4865 (0.0151)

200401.5060 (0.0130)1.5121 (0.0133)1.4873 (0.0123)1.4892 (0.0122)
601.5105 (0.0119)1.5162 (0.0122)1.4931 (0.0113)1.4949 (0.0112)
801.5110 (0.0116)1.5169 (0.0118)1.4940 (0.0112)1.4958 (0.0111)