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

Table 2

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		2.110	(1.349, 2.871)	2.086	(1.315, 2.841)	2.107
			0.168	1.522/96.10	0.164	1.526/96.20	0.313
			1.605	(0.960, 2.249)	1.593	(0.906, 2.295)	1.497
			0.153	1.289/93.60	0.148	1.389/95.30	2.667
	50		2.057	(1.539, 2.576)	2.045	(1.516, 2.563)	2.048
			0.077	1.036/96.00	0.076	1.047/96.00	0.101
			1.536	(1.106, 1.966)	1.530	(1.100, 1.974)	1.515
			0.055	0.860/95.60	0.053	0.874/95.90	0.091
	100		2.025	(1.666, 2.385)	2.019	(1.688, 2.363)	2.031
			0.032	0.719/97.30	0.032	0.675/97.00	0.039
			1.513	(1.215, 1.812)	1.510	(1.243, 1.823)	1.501
			0.023	0.596/96.90	0.023	0.580/98.00	0.033
25	25		2.158	(1.308, 3.007)	2.127	(1.267, 3.025)	2.102
			0.245	1.699/95.10	0.237	1.758/96.00	0.427
			1.586	(0.931, 2.242)	1.578	(0.917, 2.249)	1.385
			0.169	1.311/95.50	0.169	1.331/96.10	1.224
	50		2.083	(1.520, 2.645)	2.069	(1.566, 2.702)	2.072
			0.096	1.125/95.80	0.094	1.136/97.70	0.131
			1.552	(1.109, 1.995)	1.548	(1.125, 2.068)	1.529
			0.061	0.886/94.70	0.059	0.943/97.10	0.113
	100		2.032	(1.650, 2.413)	2.025	(1.607, 2.409)	2.033
			0.042	0.763/96.00	0.042	0.802/96.30	0.046
			1.517	(1.213, 1.821)	1.515	(1.218, 1.810)	1.523
			0.028	0.608/96.60	0.027	0.592/96.30	0.037
50	25		2.175	(1.271, 3.078)	2.141	(1.369, 2.995)	2.108
			0.239	1.807/96.60	0.227	1.626/96.30	0.425
			1.576	(0.917, 2.234)	1.571	(0.928, 2.283)	1.298
			0.140	1.317/94.80	0.136	1.354/96.20	1.758
	50		2.071	(1.481, 2.659)	2.054	(1.518, 2.643)	2.055
			0.090	1.178/96.70	0.088	1.125/96.60	0.128
			1.527	(1.085, 1.970)	1.524	(1.143, 1.965)	1.491
			0.053	0.884/96.80	0.052	0.821/97.00	0.120
	100		2.030	(1.622, 2.437)	2.022	(1.604, 2.408)	2.031
			0.047	0.815/97.00	0.047	0.804/96.50	0.056
			1.522	(1.212, 1.833)	1.521	(1.222, 1.864)	1.519
			0.029	0.621/95.80	0.028	0.642/97.20	0.039

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