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

Table 6

Standard errors 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	0.39065	0.37703	0.32118	0.39273	0.31689	0.43780	0.34444	0.29605	0.35674	0.38245
		1.2	0.38779	0.37700	0.45495	0.46317	0.46953	0.39625	0.57534	0.43380	0.63824	0.44722
	4	0.8	0.43193	0.42128	0.35109	0.39801	0.35516	0.43867	0.34216	0.37998	0.35709	0.41861
		1.2	0.45815	0.44019	0.51752	0.40865	0.52893	0.46122	0.58113	0.48520	0.66063	0.44205
50	2	0.8	0.28239	0.27899	0.25804	0.34324	0.25969	0.31017	0.25999	0.28062	0.26553	0.28327
		1.2	0.39845	0.39525	0.30510	0.31771	0.30861	0.36466	0.29946	0.35294	0.38685	0.31082
	4	0.8	0.29615	0.29352	0.25589	0.30983	0.25788	0.33484	0.25251	0.29724	0.25568	0.39005
		1.2	0.35876	0.35389	0.37364	0.36943	0.37841	0.35505	0.30358	0.37363	0.30968	0.32348
100	2	0.8	0.24735	0.24534	0.23836	0.21764	0.23967	0.25223	0.23995	0.28540	0.24323	0.21909
		1.2	0.29522	0.29258	0.32080	0.27977	0.32392	0.31330	0.25719	0.28065	0.26031	0.25282
	4	0.8	0.23126	0.22961	0.26014	0.22817	0.26224	0.22838	0.20963	0.25202	0.21198	0.26260
		1.2	0.27372	0.27095	0.26946	0.25135	0.27124	0.25875	0.27826	0.31875	0.28261	0.29688

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