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

Table 6

MLE, standard error (St. E), KS distance, values, and different criteria for the first data set.

	MOAPW	MOAPEx	WBXII	MOW	APW	Weibull
α	187.2428	225.635	100.24	—	257.1313	—
	(30.4985)	(202.8139)	(191.960)		(252.805)
β	1.1396	0.06031	0.6383	2.180439	3.3823	6.0859
	(0.091)	(0.00298)	(0.3306)	(0.3621)	(0.3482)	(0.4238)
	21869.64	503.0672	151.42	97.3626	—	—
	(1228.397)	(191.592)	(12.817)	(77.8902)
λ	18.7292	—	0.0024	66.57344	107.656	143.2649
	(2.8363)		(0.0067)	(12.7838)	(5.2713)	(2.4816)
c	—	—	13.23	—	—	—
			(5.6938)
D	0.0535	0.10482	0.05642	0.9948	0.06559	0.1006
p value	0.9342	0.2171	0.9053	0.000001	0.7776	0.2584
LL	455.6693	461.4193	455.1338	Not fitting	456.861	462.2396
AIC	919.3385	928.8386	920.268		919.729	928.4791
CAIC	919.7552	929.086	920.92		919.9693	928.6016
HQIC	922.5732	932.014	925.561		922.8979	930.5965