Statistical Inference of Reliability Parameter for the Skew-Normal Distribution under Progressive Type-II Censored Samples

Table 4

Compute MSE (bias) of the estimations and the average confidence length (coverage percentage), set .

		MLE	UMVUE	Bayes	CI
		0.0110	0.0118	0.0102	0.3942
		(0.0029)	(0.0019)	(−0.0070)	(0.9432)
		0.0111	0.0114	0.0100	0.3961
		(0.0024)	(−0.0025)	(−0.0059)	(0.9523)
		0.0112	0.0121	0.0104	0.3935
		(−0.0044)	(0.0006)	(−0.0089)	(0.9486)
		0.0107	0.0117	0.0098	0.3932
		(−0.0015)	(0.0035)	(-0.0062)	(0.9510)
		0.0108	0.0120	0.0101	0.3940
		(−0.0033)	(0.0017)	(−0.0077)	(0.9426)
		0.0114	0.0120	0.0105	0.3927
		(0.0002)	(0.0050)	(−0.0049)	(0.9421)
		0.0092	0.0101	0.0092	0.3731
		(0.0110)	(0.0119)	(0.0148)	(0.9558)
		0.0096	0.0106	0.0089	0.3723
		(0.0073)	(0.0002)	(0.0144)	(0.9526)
		0.0092	0.0102	0.0091	0.3729
		(0.0090)	(0.0020)	(0.0163)	(0.9571)
		0.0094	0.0107	0.0092	0.3727
		(0.0072)	(0.0004)	(0.0147)	(0.9514)
		0.0094	0.0102	0.0088	0.3722
		(0.0084)	(0.0015)	(0.0154)	(0.9556)
		0.0103	0.0109	0.0099	0.3717
		(0.0077)	(0.0002)	(0.0147)	(0.9421)
		0.0123	0.0134	0.0111	0.4012
		(−0.0030)	(−0.0003)	(−0.0053)	(0.9401)
		0.0131	0.0143	0.0119	0.4014
		(−0.0054)	(−0.0024)	(0.0075)	(0.9330)
		0.0109	0.0120	0.0106	0.4018
		(0.0004)	(−0.0021)	(−0.0035)	(0.9492)
		0.0113	0.0125	0.0105	0.4017
		(0.0025)	(−0.0004)	(0.0050)	(0.9517)
		0.0123	0.0135	0.0115	0.4012
		(−0.0027)	(0.0003)	(−0.0058)	(0.9403)
		0.0116	0.0131	0.0109	0.4020
		(−0.0043)	(0.0023)	(−0.0070)	(0.9602)