Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring

Table 7

MLE, St. E, K-S distance, values, and different criteria for the second data set.

	MOAPW	MOAPEx	WBXII	MOW	APW	Weibull
α	1.0045	251.6759	0.0159	—	10.9377	—
	(0.5185)	(426.8926)	(0.01526)		(12.6298)
β	3.22067	5.2737	1.87171	3.222	4.5126	5.8099
	(0.9337)	(0.4143)	(1.3751)	(0.9333)	(0.7583)	(0.5784)
θ	16.98863	559.823	1.14334	16.9565	—	—
	(27.502)	(356.482)	(0.9228)	(20.7189)
λ	1.119755	—	2.04906	1.1203	1.4394	1.626
	(0.2407)		(1.3997)	(0.2404)	(0.0923)	(0.0368)
c	—	—	2.05501	—	—	—
			1.652
D	0.0996	0.1552	0.13917	0.9948	0.1233	0.1537
p value	0.5589	0.0961	0.1742	0.000001	0.2939	0.1018
LL	11.5193	16.1572	13.9978	Not fitting	13.051	14.854
AIC	31.0385	38.3144	37.9956		32.1021	33.7081
CAIC	31.7282	38.7212	39.0482		32.5088	33.9081
HQIC	34.4102	40.8431	42.2101		34.6308	35.39391