New Weighted Burr XII Distribution: Statistical Properties, Applications, and Regression

Table 3

MLEs and goodness-of-fit statistics for data 1.

Distribution	Parameter	Estimates (standard error)	LL	AIC	BIC	AICc	CVM	AD	KS
MAPTBXII		3.5493 (3.42083)	−38.67247	83.34494	87.54853	84.26801	0.0179 (0.9988)	0.1289 (0.9996)	0.0695 (0.9987)
		1.9921 (0.4788)
		1.7503 (0.6556)
TLBXII		3.6562 (4.5116)	−39.3226	84.6453	88.8489	85.5683	0.0498 (0.8813)	0.3116 (0.9286)	0.1071 (0.8814)
	c	1.4767 (0.9438)
	k	0.9366 (0.7727)
WBXII		1.7914 (1.0932)	−38.1390	84.2779	89.8827	85.8779	0.0198 (0.9969)	0.1012 (0.9281)	0.0590 (0.9110)
	c	0.3592 (0.2740)
	k	1.9329 (3.0939)
		1.4312 (0.7448)
INW		−1.2170 (0.6186)	−39.0394	84.0788	88.2824	85.0018	0.0198 (0.9561)	0.1909 (0.9320)	0.0901 (0.9190)
	c	3.5163 (0.9899)
	k	0.0494 (0.0860)
EEBXII		6.5384 (5.1732)	−38.5193	85.0386	90.6434	86.6386	0.0262 (0.9882)	0.1703 (0.9966)	0.0880 (0.9743)
		0.38550 (3.0890)
		0.8343 (0.3642)
		1.6775 (0.9982)
Cauchy		0.54696 (0.12694)	−45.42425	94.8485	97.6509	95.29293	0.0982 (0.5970)	0.7734 (0.4994)	0.1464 (0.5407)
	c	1.42381 (0.16552)
IGD		0.8155 (0.2265)	−44.7779	93.5558	96.3582	94.0002	0.2199 (0.2324)	1.4123 (0.1989)	0.1945 (0.2066)
		0.4408 (0.2389)