Bayesian Estimation for Burr Distribution Type III Based on Trimmed Samples

Table 2

The posterior mean and posterior variance of the Burr distribution with two parameter distribution under doubly censored sample when (𝑐=1.2, 𝑘=1.5) in case of noninformative prior.

𝑛	𝑟	𝑆	𝑐		𝑘
			Posterior mean	Posterior variance	Posterior mean	Posterior variance
		5	1.017	0.685	0.671	0.765
10	2	7	0.701	0.514	0.569	0.648
		9	0.608	0.338	0.408	0.491
		10	1.010	0.742	0.948	0.785
20	2	15	0.871	0.537	0.653	0.676
		18	0.691	0.338	0.527	0.527
		20	0.437	0.674	0.741	0.576
40	3	30	0.288	0.582	0.687	0.477
		38	0.119	0.449	0.354	0.345
		30	0.609	0.762	0.671	0.758
60	3	45	0.547	0.684	0.507	0.862
		58	0.489	0.449	0.407	0.647
		40	0.827	0.761	0.718	0.901
80	5	65	0.667	0.895	0.651	0.763
		78	0.524	0.612	0.581	0.522
		50	0.718	0.761	0.718	0.901
100	5	75	0.651	0.895	0.651	0.763
		98	0.581	0.612	0.581	0.522