A Mixture of Two Burr Type III Distributions: Identifiability and Estimation under Type II Censoring

Table 1

The averages and estimated risks of the estimates of the parameters and reliability function for different sample and censoring sizes when and .

30	20	Ave.	MLE	0.5163	0.4874	0.4884	1.7028	1.7021	0.2816
			Bayes	0.5521	0.4901	0.4925	1.8210	1.7810	0.1562
		ER	MLE	0.0023	0.0307	0.0310	0.6486	0.5998	0.0079
			Bayes	0.0070	0.0056	0.0058	0.2152	0.3150	0.0510
30	30	Ave.	MLE	0.5144	0.5069	0.5071	1.5342	1.5337	0.2936
			Bayes	0.5416	0.5620	0.5646	1.5431	1.5111	0.3254
		ER	MLE	0.0018	0.0160	0.0159	0.1131	0.0951	0.0036
			Bayes	0.0052	0.0038	0.0042	0.0321	0.0028	0.0071
50	40	Ave.	MLE	0.5127	0.4905	0.4906	1.5657	1.5649	0.2855
			Bayes	0.5564	0.4890	0.4873	1.6397	1.6300	0.1019
		ER	MLE	0.0005	0.0159	0.0158	0.2591	0.2345	0.0039
			Bayes	0.0070	0.0021	0.0032	0.1159	0.1347	0.0323
50	50	Ave.	MLE	0.5103	0.5029	0.5029	1.4917	1.4915	0.2927
			Bayes	0.5108	0.4572	0.4634	1.5303	1.4470	0.2529
		ER	MLE	0.0001	0.0093	0.0093	0.0605	0.0517	0.0021
			Bayes	0.0032	0.0018	0.0013	0.0055	0.0011	0.0059
100	80	Ave.	MLE	0.5102	0.4967	0.4969	1.4964	1.4956	0.2902
			Bayes	0.4959	0.4675	0.4921	1.6132	1.5273	0.3736
		ER	MLE	0.0001	0.0064	0.0063	0.0775	0.0674	0.0015
			Bayes	0.0034	0.0025	0.0008	0.0990	0.0138	0.0131
100	100	Ave.	MLE	0.5100	0.5021	0.5022	1.4851	1.4852	0.2933
			Bayes	0.4724	0.4720	0.4937	1.4784	1.4768	0.2466
		ER	MLE	0.0001	0.0038	0.0039	0.0368	0.0297	0.0009
			Bayes	0.0021	0.0014	0.0004	0.0061	0.0018	0.0047