Classical and Bayesian Estimation of the Inverse Weibull Distribution: Using Progressive Type-I Censoring Scheme

Table 5

Numerical results of AVEs, ACIs, MSErs, ALs, and CPrs (in %) for and under number of stages .

		Parm.	MLLE		Bayesian: MCMC		Bayesian: Lindley
			AVE MSEr	ACI AL/CPr	AVE MSEr	HPD AL/CPr	AVE MSEr
0	25		1.074	(0.690, 1.458)	1.061	(0.683, 1.436)	1.036
			0.046	0.768/96.10	0.044	0.753/95.80	0.264
			2.161	(1.251, 3.071)	2.141	(1.326, 3.224)	2.149
			0.326	1.820/94.00	0.317	1.898/96.20	0.333
	50		1.027	(0.768, 1.285)	1.020	(0.762, 1.274)	1.005
			0.018	0.517/96.80	0.018	0.512/96.70	0.059
			2.075	(1.473, 2.676)	2.064	(1.526, 2.738)	2.071
			0.116	1.203/95.00	0.113	1.212/96.50	0.117
	100		1.016	(0.835, 1.196)	1.013	(0.835, 1.182)	1.010
			0.008	0.361/96.60	0.007	0.347/96.30	0.015
			2.027	(1.616, 2.437)	2.021	(1.633, 2.465)	2.025
			0.048	0.821/95.60	0.047	0.832/96.90	0.048
25	25		1.089	(0.661, 1.516)	1.074	(0.674, 1.538)	1.032
			0.060	0.855/94.90	0.057	0.864/96.10	0.475
			2.166	(1.241, 3.091)	2.150	(1.359, 3.343)	2.145
			0.334	1.850/94.10	0.328	1.984/97.10	0.351
	50		1.036	(0.756, 1.316)	1.029	(0.744, 1.310)	1.012
			0.022	0.560/95.90	0.021	0.566/96.40	0.083
			2.070	(1.465, 2.675)	2.060	(1.498, 2.777)	2.064
			0.118	1.210/94.70	0.115	1.279/96.60	0.121
	100		1.015	(0.824, 1.206)	1.011	(0.832, 1.238)	1.005
			0.011	0.382/95.60	0.010	0.406/97.60	0.022
			2.038	(1.622, 2.455)	2.034	(1.608, 2.441)	2.037
			0.051	0.833/95.90	0.050	0.833/96.00	0.052
50	25		1.083	(0.630, 1.536)	1.066	(0.630, 1.523)	0.976
			0.066	0.906/95.60	0.063	0.893/96.00	0.741
			2.173	(1.232, 3.113)	2.159	(1.288, 3.363)	2.148
			0.383	1.881/93.70	0.381	2.075/95.80	0.396
	50		1.040	(0.744, 1.336)	1.031	(0.742, 1.348)	1.010
			0.026	0.592/95.80	0.025	0.606/97.20	0.110
			2.066	(1.459, 2.673)	2.057	(1.498, 2.721)	2.060
			0.110	1.214/95.00	0.108	1.224/96.10	0.115
	100		1.019	(0.814, 1.223)	1.014	(0.806, 1.216)	1.009
			0.011	0.409/96.60	0.012	0.410/96.60	0.025
			2.030	(1.613, 2.447)	2.025	(1.646, 2.510)	2.028
			0.051	0.834/95.10	0.054	0.864/97.60	0.053

Note: Parm.: parameter, AV: average, and ACI: asymptotic confidence interval.