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

Table 4

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		1.072	(0.688, 1.456)	1.060	(0.644, 1.455)	1.013
			0.051	0.768/95.20	0.050	0.811/95.60	0.323
			2.166	(1.251, 3.081)	2.148	(1.285, 3.286)	2.155
			0.359	1.830/93.80	0.356	2.001/95.70	0.365
	50		1.037	(0.776, 1.299)	1.031	(0.764, 1.288)	1.023
			0.021	0.523/96.20	0.020	0.524/96.00	0.062
			2.086	(1.480, 2.692)	2.075	(1.502, 2.736)	2.082
			0.131	1.212/94.60	0.128	1.234/96.10	0.132
	100		1.011	(0.830, 1.190)	1.007	(0.852, 1.202)	1.002
			0.009	0.360/96.90	0.008	0.350/98.20	0.016
			2.025	(1.615, 2.436)	2.021	(1.614, 2.436)	2.025
			0.046	0.821/95.80	0.046	0.822/96.10	0.047
25	25		1.074	(0.663, 1.485)	1.061	(0.692, 1.483)	1.011
			0.052	0.822/96.10	0.053	0.791/96.70	0.386
			2.156	(1.236, 3.077)	2.150	(1.387, 3.158)	2.142
			0.356	1.841/95.10	0.357	1.771/96.60	0.363
	50		1.042	(0.762, 1.322)	1.035	(0.760, 1.310)	1.025
			0.022	0.560/96.90	0.021	0.550/96.90	0.079
			2.090	(1.476, 2.703)	2.081	(1.491, 2.813)	2.085
			0.130	1.227/94.30	0.127	1.322/97.10	0.133
	100		1.013	(0.820, 1.199)	1.006	(0.831, 1.193)	0.999
			0.010	0.379/96.50	0.009	0.362/96.60	0.019
			2.029	(1.615, 2.443)	2.024	(1.608, 2.435)	2.028
			0.046	0.828/96.50	0.045	0.827/96.60	0.047
50	25		1.086	(0.637, 1.535)	1.071	(0.657, 1.649)	0.964
			0.071	0.898/94.10	0.070	0.992/97.00	0.756
			2.153	(1.225, 3.082)	2.140	(1.316, 3.179)	2.132
			0.303	1.857/95.00	0.301	1.863/96.20	0.322
	50		1.034	(0.739, 1.329)	1.026	(0.744, 1.339)	0.994
			0.025	0.590/95.80	0.025	0.595/96.90	0.122
			2.078	(1.464, 2.693)	2.070	(1.446, 2.738)	2.072
			0.127	1.229/95.20	0.124	1.292/96.30	0.132
	100		1.014	(0.813, 1.215)	1.010	(0.814, 1.211)	1.002
			0.010	0.402/96.90	0.010	0.397/96.70	0.024
			2.036	(1.616, 2.455)	2.031	(1.594, 2.455)	2.034
			0.054	0.839/95.30	0.053	0.861/95.40	0.055

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