Bayesian Estimation Based on Rayleigh Progressive Type II Censored Data with Binomial Removals

Table 2

Averaged values of MSEs for estimates of the parameters 𝜃 and 𝑝.

	𝑛	𝑚	𝜎 MSE	𝜎𝑆 MSE	𝜎𝐸 MSE	𝜎𝑃 MSE	CI	𝑝 MSE	𝑝𝑆 MSE	𝑝𝐸 MSE	𝑝𝑃 MSE
P = 0.1	10	5	0.9727	1.0484	1.0749	1.0019	(0.6796, 1.7070)	0.1333	0.2500	0.2105	0.1336
			0.0514	0.0416	0.0469	0.0359		0.0011	0.0225	0.0122	0.0011
		7	0.9794	1.0334	1.0520	0.9996	(0.7170, 1.5447)	0.0769	0.2222	0.1764	0.1139
			0.0343	0.0292	0.0319	0.0263		0.0005	0.0149	0.0058	0.0001
	20	10	0.9873	1.0250	1.0379	1.0009	(0.7554, 1.4258)	0.1228	0.1612	0.1475	0.0673
			0.0251	0.0226	0.0239	0.0209		0.0005	0.0037	0.0022	0.0010
		15	0.9889	1.0141	1.0226	0.9979	(0.7902, 1.3218)	0.0975	0.1521	0.1333	0.0627
			0.0165	0.0153	0.0158	0.0146		5 × 10^−6	0.0027	0.0011	0.0013
P = 0.4	10	5	0.9700	1.0461	1.0726	0.9997	(0.6778, 1.7024)	0.5000	0.5333	0.5000	0.4000
			0.0522	0.0419	0.0471	0.0363		0.01000	0.0177	0.0100	0.0000
		7	0.9805	1.0345	1.0532	1.0006	(0.7178, 1.5463)	0.2500	0.3846	0.3333	0.2517
			0.0371	0.0318	0.0346	0.0287		0.0225	0.0002	0.0044	0.0219
	20	10	0.9842	1.0221	1.0349	0.9980	(0.7530, 1.4213)	0.3703	0.4062	0.3870	0.2646
			0.0243	0.0216	0.0229	0.0202		0.0008	0.0009	0.0001	0.0183
		15	0.9897	1.0149	1.0234	0.9986	(0.7909, 1.3230)	0.4545	0.5000	0.4666	0.3638
			0.0163	0.0151	0.0157	0.0144		0.0029	0.0100	0.0044	0.0013
P = 0.6	10	5	0.9706	1.0466	1.0730	1.0001	(0.6782, 1.7034)	0.7142	0.6666	0.6363	0.5547
			0.0511	0.0411	0.0462	0.03557		0.0130	0.0044	0.0013	0.0020
		7	0.9818	1.0356	1.0542	1.0017	(0.7188, 1.5485)	0.2727	0.3750	0.3333	0.2406
			0.0343	0.0296	0.0323	0.0265		0.1071	0.0506	0.0711	0.1291
	20	10	0.9906	1.0280	1.0409	1.0038	(0.7579, 1.4305)	0.6666	0.6500	0.6315	0.5307
			0.0240	0.0219	0.0233	0.0201		0.0044	0.0025	0.0009	0.0047
		15	0.9913	1.0164	1.0249	1.0001	(0.7922, 1.3251)	0.4545	0.5000	0.4666	0.3638
			0.0161	0.0150	0.0156	0.0143		0.0211	0.0100	0.0177	0.0557
P = 0.9	10	5	0.9746	1.0500	1.0766	1.0034	(0.6810, 1.7104)	0.7142	0.6666	0.6363	0.5547
			0.0499	0.0408	0.0461	0.0349		0.0344	0.0544	0.0695	0.1192
		7	0.9779	1.0322	1.0508	0.9984	(0.7159, 1.5423)	0.7500	0.6666	0.6250	0.5577
			0.0370	0.0315	0.0341	0.0285		0.0225	0.05447	0.0756	0.1171
	20	10	0.9882	1.0258	1.0387	1.0017	(0.7560, 1.4270)	0.9090	0.8125	0.8000	0.7373
			0.0248	0.0223	0.0237	0.0207		8 × 10^−5	0.0076	0.0100	0.0264
		15	0.9931	1.0181	1.0266	1.0018	(0.7936, 1.3274)	0.6250	0.6153	0.5833	0.4934
			0.0153	0.0143	0.0149	0.0136		0.0756	0.0810	0.1002	0.1653