Bayesian Inference of the Weibull Model Based on Interval-Censored Survival Data

Table 3

MSEs for (𝛽) under informative prior and MLE with interval-censoring.

𝑛	𝛼	𝛽	𝛽ML	𝛽BS	𝛽BL	𝛽BG	𝛽BL	𝛽BG	𝛽BL	𝛽BG	𝛽BL	𝛽BG
					𝑐=𝑘=0.6		𝑐=𝑘=−0.6		𝑐=𝑘=1.4		𝑐=𝑘=−1.4
25	2	0.8	0.07429	0.06822	0.07525	0.07488	0.06076	0.07060	0.07187	0.07383	0.07329	0.06216
		1.2	0.07955	0.07076	0.08011	0.08018	0.06258	0.07467	0.08170	0.08185	0.08246	0.06353
	4	0.8	0.07416	0.06799	0.07488	0.07387	0.06054	0.07032	0.07221	0.07403	0.07389	0.06336
		1.2	0.08130	0.07267	0.07853	0.07705	0.05980	0.07809	0.08272	0.07985	0.08483	0.06331
50	2	0.8	0.03147	0.03026	0.03166	0.03307	0.02986	0.03186	0.03202	0.03201	0.03282	0.02961
		1.2	0.03289	0.03123	0.04675	0.03278	0.03194	0.03298	0.03371	0.03457	0.03434	0.03072
	4	0.8	0.03248	0.03123	0.03222	0.03274	0.03005	0.03142	0.03266	0.03248	0.03229	0.03002
		1.2	0.03359	0.03188	0.03424	0.03420	0.03125	0.03242	0.03352	0.03423	0.03473	0.03105
100	2	0.8	0.02093	0.02041	0.02118	0.02061	0.01987	0.02062	0.02088	0.02057	0.02053	0.01986
		1.2	0.02142	0.02073	0.02148	0.02166	0.02062	0.02160	0.02165	0.02205	0.02144	0.02015
	4	0.8	0.02052	0.02001	0.02041	0.02055	0.02002	0.02053	0.02051	0.02069	0.02098	0.01958
		1.2	0.021534	0.02083	0.02224	0.02121	0.02052	0.02099	0.02166	0.02135	0.02186	0.01999

ML: Maximum Likelihood, BG: General Entropy Loss Function, BL: LINEX Loss Function, BS: Squared Error Loss Function.