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

Table 2

Absolute biases 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	0.00600	0.00605	0.00609	0.00613	0.00602	0.00600	0.00607	0.00614	0.00640	0.00602
		1.2	0.00461	0.00460	0.00471	0.00478	0.00440	0.00469	0.00459	0.00464	0.00472	0.00474
	4	0.8	0.01177	0.01175	0.01211	0.01234	0.01219	0.01186	0.01212	0.01209	0.01273	0.01189
		1.2	0.00920	0.01251	0.00947	0.00934	0.01033	0.00955	0.00941	0.00965	0.01053	0.01102
50	2	0.8	0.00300	0.00300	0.00303	0.00297	0.00299	0.00300	0.00301	0.00305	0.00296	0.00303
		1.2	0.00232	0.00230	0.00232	0.00231	0.00229	0.00232	0.00230	0.00228	0.00262	0.00248
	4	0.8	0.00595	0.00595	0.00605	0.00598	0.00608	0.00601	0.00599	0.00602	0.00580	0.00604
		1.2	0.00469	0.00520	0.00465	0.00469	0.00471	0.00465	0.00459	0.00464	0.00463	0.00454
100	2	0.8	0.00202	0.00202	0.00199	0.00201	0.00200	0.00198	0.00199	0.00200	0.00200	0.00198
		1.2	0.00153	0.00154	0.00155	0.00154	0.00152	0.00158	0.00152	0.00181	0.00197	0.00154
	4	0.8	0.00399	0.00400	0.00402	0.00404	0.00402	0.00398	0.00404	0.00399	0.00394	0.00399
		1.2	0.00307	0.00304	0.00305	0.00309	0.00306	0.01164	0.00307	0.00310	0.00309	0.00302

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