Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme

Table 1

Average estimates and MSEs (in the brackets) of the estimators of 𝛼 (in the first row of each cell) and 𝛽 (in the second row of each cell) under different Type-II censoring schemes for fixed values of 𝛼=2 and 𝛽=2.

(𝑛,𝑟)	MLE	Bayes
		Jeffrey's prior	Gamma-1	Gamma-2
20,20	2.16201 (0.19478)	2.12381 (0.18568)	2.11852 (0.16520)	2.12323 (0.18297)
	2.15231 (0.25599)	2.11832 (0.24964)	2.11214 (0.21910)	2.11751 (0.24560)
20,16	2.25425 (0.38927)	2.19812 (0.37041)	2.18709 (0.31676)	2.19695 (0.36310)
	2.20897 (0.35759)	2.16973 (0.34807)	2.15957 (0.30027)	2.16858 (0.34157)
20,12	2.42308 (0.86955)	2.33505 (0.82782)	2.31067 (0.66996)	2.33284 (0.80561)
	2.29886 (0.55647)	2.25176 (0.54174)	2.23387 (0.45669)	2.24973 (0.52982)
30,30	2.10084 (0.10210)	2.07541 (0.09830)	2.07318 (0.09054)	2.07517 (0.09720)
	2.09362 (0.13855)	2.07067 (0.13589)	2.0680 (0.123778)	2.07039 (0.13420)
30,24	2.16669 (0.22014)	2.12924 (0.21169)	2.12430 (0.189528)	2.12873 (0.20866)
	2.13586 (0.20569)	2.10924 (0.20143)	2.10460 (0.18104)	2.10875 (0.19861)
30,18	2.25330 (0.43040)	2.19459 (0.41323)	2.18513 (0.35242)	2.19370 (0.40483)
	2.17914 (0.27758)	2.14681 (0.27137)	2.13951 (0.23802)	2.14599 (0.26667)
50,50	2.05641 (0.05175)	2.04115 (0.05045)	2.04046 (0.04793)	2.04111 (0.05013)
	2.05189 (0.07560)	2.03798 (0.07468)	2.03712 (0.07043)	2.03793 (0.07413)
50,40	2.08371 (0.09921)	2.06117 (0.09674)	2.05986 (0.08995)	2.06105 (0.09583)
	2.06881 (0.10032)	2.05256 (0.09900)	2.05119 (0.09234)	2.05243 (0.09811)
50,30	2.14568 (0.18827)	2.11044 (0.18191)	2.10701 (0.16367)	2.11011 (0.17946)
	2.09982 (0.13099)	2.08009 (0.12866)	2.07740 (0.11804)	2.07982 (0.12722)