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

Table 3

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	(1.352, 2.869)	2.086	(1.412, 2.891)	2.072
			0.158	1.517/96.30	0.154	1.479/97.30	0.265
			1.600	(0.958, 2.241)	1.588	(0.946, 2.310)	1.501
			0.151	1.283/94.40	0.144	1.364/95.90	0.575
	50		2.070	(1.550, 2.590)	2.058	(1.560, 2.586)	2.062
			0.079	1.040/96.20	0.077	1.026/96.70	0.104
			1.529	(1.101, 1.956)	1.522	(1.141, 1.993)	1.505
			0.051	0.855/96.20	0.049	0.852/97.90	0.092
	100		2.024	(1.664, 2.383)	2.017	(1.698, 2.415)	2.020
			0.034	0.719/96.10	0.033	0.717/97.50	0.039
			1.521	(1.221, 1.821)	1.518	(1.217, 1.827)	1.516
			0.025	0.600/95.80	0.025	0.610/96.60	0.032
25	25		2.156	(1.275, 3.038)	2.124	(1.331, 3.074)	2.099
			0.228	1.763/95.50	0.218	1.743/96.50	0.412
			1.596	(0.930, 2.261)	1.590	(0.931, 2.268)	1.412
			0.206	1.331/94.70	0.211	1.337/95.60	0.936
	50		2.070	(1.498, 2.642)	2.055	(1.541, 2.668)	2.057
			0.093	1.144/96.10	0.090	1.127/97.00	0.127
			1.542	(1.100, 1.983)	1.537	(1.105, 1.977)	1.512
			0.055	0.883/96.60	0.054	0.872/96.70	0.119
	100		2.034	(1.645, 2.423)	2.026	(1.662, 2.427)	2.030
			0.040	0.778/96.30	0.040	0.765/96.80	0.047
			1.523	(1.217, 1.828)	1.521	(1.245, 1.840)	1.517
			0.025	0.611/97.10	0.024	0.595/97.70	0.035
50	25		2.178	(1.217, 3.139)	2.138	(1.311, 3.250)	2.076
			0.309	1.922/94.40	0.295	1.939/97.00	0.575
			1.594	(0.915, 2.272)	1.590	(0.876, 2.263)	1.242
			0.193	1.357/95.60	0.190	1.387/95.70	3.589
	50		2.101	(1.477, 2.724)	2.082	(1.504, 2.775)	2.084
			0.119	1.247/95.70	0.115	1.271/97.40	0.166
			1.541	(1.091, 1.992)	1.539	(1.041, 2.019)	1.493
			0.064	0.901/94.80	0.063	0.978/95.80	0.175
	100		2.034	(1.615, 2.452)	2.025	(1.637, 2.471)	2.028
			0.048	0.836/96.20	0.047	0.833/97.30	0.058
			1.516	(1.206, 1.827)	1.515	(1.228, 1.851)	1.506
			0.027	0.621/96.10	0.027	0.622/97.20	0.043

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