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

Table 4

MLEs and goodness-of-fit statistics for data 2.

Distribution	Parameter	Estimates (standard error)	LL	AIC	BIC	AICc	CVM	AD	KS
MAPTBXII		0.6254 (0.5596)	−14.82152	35.6431	39.3000	36.7859	0.0134 (0.9999)	0.0988 (0.9999)	0.0658 (0.9999)
		2.6675 (0.6979)
		1.2310 (1.0149)
TLBXII		3.0443 (7.3218)	−14.94482	35.8896	39.4463	36.6325	0.013647 (0.9999)	0.10498 (0.9891)	0.0681 (0.9998)
	c	1.3370 (1.3994)
	k	1.6508 (1.6972)
WBXII		4.0853 (5.7271)	−14.9478	37.8956	42.7711	39.8956	0.0197 (0.9978)	0.1288 (0.9967)	0.0899 (0.9574)
	c	0.2537 (1.0058)
	k	3.0761 (11.5223)
		0.5274 (0.8721)
INW		−0.9218 (0.4865)	−14.8267	35.6544	39.3100	36.7963	0.1929 (0.9789)	0.1009 (0.9620)	0.070126 (0.9567)
	c	4.4347 (1.5007)
	k	0.1682 (0.3402)
EEBXII		1.8269 (2.0841)	−14.7537	37.5073	42.3828	39.5073	0.0135 (0.9999)	0.1039 (0.9999)	0.0720 (0.9999)
		0.1951 (0.2949)
		1.9949 (0.7099)
		10.3041 (14.3761)
Cauchy		0.2466 (0.0655)	−19.8268	43.6537	46.0914	44.1991	0.1077 (0.5518)	0.1077 (0.5518)	0.1484 (0.6411)
	c	0.6602 (0.0766)
IGD		0.3864 (0.1193)	−19.2401	42.4802	44.9179	43.0256	0.1704 (0.3346)	1.1093 (0.3041)	0.1726 (0.4457)
		0.2533 (0.1334)