Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples

Table 6

95% credible intervals under different priors and censoring techniques for Ψ=2.

𝑛	Left censored			Singly type II censored			Doubly type II censored
	LL	UL	UL−LL	LL	UL	UL−LL	LL	UL	UL−LL
	Uniform prior
20	1.56781	2.75938	1.19157	1.73877	2.84372	1.10495	1.73962	2.90945	1.16983
30	1.61913	2.59787	0.97874	1.79641	2.70600	0.90960	1.78866	2.72517	0.93650
50	1.62627	2.53449	0.90822	1.80163	2.66082	0.85919	1.79136	2.66332	0.87196
70	1.66166	2.45624	0.79458	1.83777	2.58974	0.75197	1.82279	2.59834	0.77556
100	1.70699	2.32667	0.61968	1.85560	2.41714	0.56155	1.83423	2.40771	0.57348
150	1.75676	2.25937	0.50262	1.88471	2.34154	0.45683	1.85867	2.33087	0.47219
	Jeffreys prior
20	1.56858	2.74542	1.17685	1.73708	2.80267	1.06559	1.73746	2.86972	1.13226
30	1.61875	2.58540	0.96664	1.79389	2.66752	0.87362	1.78579	2.68849	0.90270
50	1.62554	2.52254	0.89700	1.79889	2.62316	0.82427	1.78830	2.62765	0.83935
70	1.66030	2.44505	0.78476	1.83458	2.55341	0.71884	1.79885	2.54065	0.74180
100	1.70467	2.31670	0.61202	1.85182	2.38369	0.53187	1.79008	2.33228	0.54221
150	1.75374	2.25015	0.49640	1.88049	2.30946	0.42898	1.79945	2.24150	0.44204
	Exponential prior
20	1.55362	2.71593	1.16230	1.71997	2.74490	1.02493	1.72025	2.78576	1.06552
30	1.60306	2.55776	0.95470	1.77605	2.61266	0.83660	1.76796	2.61904	0.85109
50	1.60971	2.49562	0.88591	1.78096	2.56925	0.78830	1.77039	2.64202	0.87163
70	1.64399	2.41905	0.77506	1.81620	2.50101	0.68482	1.78077	2.49203	0.71126
100	1.68773	2.29219	0.60446	1.83315	2.33487	0.50173	1.77199	2.31768	0.54570
150	1.73618	2.22645	0.49027	1.86144	2.26223	0.40079	1.78120	2.25684	0.47564
	Gamma prior
20	1.62347	2.72707	1.10360	1.77884	2.78763	1.00880	1.77576	2.78477	1.00901
30	1.66664	2.57312	0.90648	1.83130	2.65756	0.82626	1.82029	2.62195	0.80166
50	1.67102	2.51219	0.84117	1.83474	2.61473	0.77998	1.82142	2.64617	0.82475
70	1.70210	2.43802	0.73592	1.86815	2.54765	0.67951	1.82981	2.49792	0.66811
100	1.74075	2.31468	0.57393	1.88157	2.38174	0.50017	1.81750	2.32602	0.50852
150	1.78615	2.25166	0.46551	1.90782	2.31004	0.40222	1.82464	2.26706	0.44242
	Inverse Levy prior
20	1.60787	2.69784	1.08996	1.76125	2.73853	0.97728	1.75811	2.70183	0.94372
30	1.65039	2.54567	0.89528	1.81304	2.61087	0.79783	1.80206	2.54396	0.74190
50	1.65467	2.48544	0.83077	1.81640	2.56882	0.75242	1.80314	2.56750	0.76436
70	1.68532	2.41214	0.72682	1.84939	2.50299	0.65360	1.81138	2.42371	0.61233
100	1.72340	2.29024	0.56684	1.86256	2.34007	0.47751	1.79911	2.25700	0.45789
150	1.77685	2.23660	0.45976	1.89728	2.27883	0.38156	1.81447	2.20874	0.39427