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

Table 1

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		2.102	(1.344, 2.861)	2.078	(1.348, 2.827)	2.062
			0.159	1.517/96.60	0.155	1.479/96.60	0.278
			1.590	(0.952, 2.228)	1.579	(1.003, 2.329)	1.504
			0.148	1.276/94.10	0.142	1.326/96.10	0.387
	50		2.053	(1.536, 2.570)	2.040	(1.536, 2.584)	2.042
			0.078	1.034/95.30	0.077	1.048/96.10	0.102
			1.541	(1.109, 1.972)	1.535	(1.137, 2.022)	1.522
			0.054	0.863/95.40	0.053	0.885/97.00	0.090
	100		2.029	(1.669, 2.389)	2.023	(1.655, 2.363)	2.026
			0.034	0.720/96.50	0.034	0.708/96.20	0.040
			1.513	(1.214, 1.811)	1.510	(1.207, 1.807)	1.507
			0.024	0.597/96.60	0.024	0.600/96.80	0.032
25	25		2.149	(1.328, 2.970)	2.123	(1.383, 3.074)	2.105
			0.216	1.642/95.50	0.211	1.691/97.30	0.367
			1.586	(0.937, 2.235)	1.577	(1.005, 2.320)	1.442
			0.140	1.298/95.10	0.134	1.315/97.00	0.691
	50		2.065	(1.509, 2.621)	2.051	(1.572, 2.679)	2.053
			0.085	1.112/96.00	0.084	1.107/97.90	0.118
			1.545	(1.103, 1.987)	1.541	(1.159, 2.027)	1.523
			0.057	0.884/95.20	0.056	0.868/97.00	0.104
	100		2.028	(1.647, 2.408)	2.021	(1.648, 2.414)	2.023
			0.039	0.761/96.40	0.039	0.766/96.80	0.047
			1.522	(1.217, 1.828)	1.520	(1.192, 1.833)	1.517
			0.027	0.611/95.90	0.026	0.641/96.20	0.037
50	25		2.167	(1.274, 3.059)	2.136	(1.274, 3.055)	2.091
			0.266	1.785/95.70	0.256	1.780/96.00	0.471
			1.578	(0.914, 2.243)	1.573	(0.922, 2.322)	1.298
			0.153	1.328/94.30	0.149	1.399/96.20	2.160
	50		2.071	(1.481, 2.660)	2.055	(1.506, 2.650)	2.054
			0.097	1.179/96.80	0.095	1.144/97.10	0.136
			1.541	(1.092, 1.990)	1.538	(1.112, 2.013)	1.505
			0.057	0.898/96.10	0.056	0.901/96.80	0.137
	100		2.047	(1.642, 2.452)	2.040	(1.630, 2.450)	2.044
			0.046	0.810/96.10	0.046	0.820/96.50	0.055
			1.518	(1.208, 1.828)	1.516	(1.206, 1.825)	1.510
			0.026	0.620/96.80	0.026	0.619/96.80	0.039

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