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

Table 6

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		1.054	(0.675, 1.432)	1.042	(0.695, 1.435)	0.952
			0.042	0.757/95.90	0.041	0.740/97.00	0.836
			2.170	(1.259, 3.080)	2.151	(1.409, 3.194)	2.164
			0.271	1.821/94.60	0.262	1.785/96.80	0.280
	50		1.027	(0.768, 1.287)	1.021	(0.760, 1.295)	1.005
			0.019	0.519/95.30	0.019	0.535/96.20	0.061
			2.072	(1.471, 2.673)	2.063	(1.492, 2.710)	2.070
			0.117	1.202/94.60	0.115	1.218/96.20	0.120
	100		1.017	(0.836, 1.197)	1.014	(0.842, 1.196)	1.011
			0.009	0.361/96.90	0.008	0.353/97.20	0.016
			2.048	(1.632, 2.464)	2.043	(1.640, 2.456)	2.047
			0.049	0.831/96.80	0.048	0.815/96.80	0.049
25	25		1.092	(0.648, 1.537)	1.077	(0.687, 1.621)	1.002
			0.071	0.889/93.10	0.068	0.934/97.00	0.677
			2.171	(1.240, 3.103)	2.157	(1.299, 3.244)	2.149
			0.345	1.863/93.70	0.342	1.945/96.10	0.363
	50		1.041	(0.753, 1.328)	1.033	(0.757, 1.357)	1.018
			0.024	0.575/95.50	0.023	0.600/97.00	0.093
			2.089	(1.477, 2.702)	2.079	(1.472, 2.729)	2.085
			0.117	1.225/95.30	0.114	1.257/96.30	0.120
	100		1.019	(0.824, 1.214)	1.015	(0.831, 1.207)	1.012
			0.010	0.390/96.80	0.009	0.376/96.60	0.020
			2.036	(1.620, 2.452)	2.032	(1.617, 2.486)	2.035
			0.051	0.832/95.50	0.051	0.869/96.60	0.052
50	25		1.112	(0.622, 1.602)	1.092	(0.665, 1.701)	1.009
			0.091	0.980/93.90	0.085	1.036/96.80	0.951
			2.188	(1.233, 3.144)	2.177	(1.319, 3.410)	2.154
			0.410	1.911/93.40	0.415	2.091/96.50	0.430
	50		1.052	(0.740, 1.365)	1.043	(0.740, 1.369)	1.030
			0.031	0.625/95.30	0.030	0.629/95.90	0.126
			2.079	(1.466, 2.693)	2.071	(1.509, 2.775)	2.071
			0.120	1.227/94.80	0.118	1.266/96.60	0.125
	100		1.024	(0.813, 1.234)	1.019	(0.797, 1.231)	1.014
			0.013	0.421/96.30	0.012	0.434/96.60	0.030
			2.043	(1.623, 2.464)	2.039	(1.612, 2.480)	2.041
			0.056	0.841/95.30	0.055	0.868/96.60	0.057

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