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

Table 1

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

𝑛	𝛼	𝛽	𝛼ML	𝛼BS	𝛼BL	𝛼BG	𝛼BL	𝛼BG	𝛼BL	𝛼BG	𝛼BL	𝛼BG
					𝑐=𝑘=0.6		𝑐=𝑘=−0.6		𝑐=𝑘=1.4		𝑐=𝑘=−1.4
25	2	0.8	0.00203	0.00210	0.00209	0.00211	0.00210	0.00202	0.00207	0.00213	0.00202	0.00204
		1.2	0.00125	0.00145	0.00129	0.00135	0.00118	0.00134	0.00127	0.00128	0.00122	0.00162
	4	0.8	0.00783	0.00790	0.00816	0.00857	0.00839	0.00788	0.00826	0.00826	0.00795	0.00801
		1.2	0.00501	0.00633	0.00529	0.00511	0.00556	0.00633	0.00523	0.00548	0.00489	0.00606
50	2	0.8	0.00096	0.00096	0.00097	0.00094	0.00095	0.00096	0.00097	0.00099	0.00096	0.00098
		1.2	0.00059	0.00058	0.00059	0.00058	0.00064	0.00059	0.00058	0.00057	0.00058	0.00058
	4	0.8	0.00375	0.00375	0.00388	0.00379	0.00392	0.00383	0.00382	0.00386	0.00387	0.00389
		1.2	0.00241	0.00240	0.00237	0.00240	0.00277	0.00235	0.00231	0.00237	0.00228	0.00272
100	2	0.8	0.00064	0.00064	0.00062	0.00063	0.00063	0.00061	0.00062	0.00063	0.00064	0.00061
		1.2	0.00037	0.00041	0.00038	0.00039	0.00037	0.00037	0.00037	0.00037	0.00047	0.00045
	4	0.8	0.00249	0.00251	0.00253	0.00255	0.00253	0.00248	0.00256	0.00249	0.00244	0.00248
		1.2	0.00150	0.00149	0.00149	0.00152	0.00260	0.00149	0.00150	0.00153	0.00147	0.00152

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