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

Table 8

MLL, Bayesian, and St.E and ACI based on the PCTI under various censoring schemes for data set I.

Sch.		Parm.	MLL			MCMC			Lindley
			Estimate	St.E	ACI	Estimate	St.E	HPD	Estimate
I	0		0.4720	0.0952	(0.2854, 1.1864)	0.6417	0.0165	(0.4024, 0.9145)	0.7053
			1.7210	0.2727	(0.6586, 2.2556)	1.0312	0.0555	(0.5647, 1.4825)	1.7534
	25		0.5186	0.1131	(0.2968, 1.0013)	0.6151	0.0216	(0.3353, 0.8893)	0.8423
			1.5560	0.2830	(0.7405, 2.1107)	1.0192	0.0671	(0.5144, 1.5035)	1.6146
	50		0.4557	0.1157	(0.2289, 1.0803)	0.5234	0.0198	(0.2898, 0.8476)	0.9699
			1.7423	0.3377	(0.6825, 2.4043)	1.2496	0.0945	(0.6814, 1.8303)	1.8185
II	0		0.5406	0.1072	(0.3304, 0.9283)	0.6486	0.0166	(0.4117, 0.9216)	0.7447
			1.4382	0.2601	(0.7507, 1.9482)	1.0257	0.0545	(0.5853, 1.4701)	1.4749
	25		0.6203	0.1207	(0.3838, 0.8324)	0.7199	0.0203	(0.4393, 0.9876)	0.8450
			1.3309	0.2543	(0.8569, 1.8294)	0.9202	0.0493	(0.5122, 1.3606)	1.3860
	50		0.5892	0.1442	(0.3065, 0.7183)	0.5459	0.0247	(0.2531, 0.8646)	0.9890
			1.3319	0.3130	(0.8720, 1.9455)	1.1908	0.0990	(0.6207, 1.8487)	1.4416
III	0		0.5406	0.1072	(0.3304, 0.9283)	0.6427	0.0176	(0.3972, 0.9138)	0.7527
			1.4382	0.2601	(0.7507, 1.9482)	1.0185	0.0561	(0.5831, 1.4811)	1.3028
	25		0.6217	0.1417	(0.3439, 0.6541)	0.6094	0.0211	(0.3299, 0.8943)	0.9460
			1.1831	0.2698	(0.8994, 1.7120)	1.0463	0.0623	(0.5815, 1.5315)	1.2913
	50		0.6971	0.1528	(0.3976, 0.5897)	0.6977	0.0288	(0.3841, 1.0246)	1.0644
			1.1005	0.2606	(0.9966, 1.6114)	0.9170	0.0671	(0.4681, 1.4697)	1.2497

Note: ACI: asymptotic confidence interval, Parm.: parameter, Schs.: scheme, and St.E: standard error.