The Exponentiated Half-Logistic Family of Distributions: Properties and Applications

Table 4

MLEs of the model parameters for the carbon monoxide data, the corresponding SEs (given in parentheses) and the AIC, CAIC, and BIC statistics.

Model	𝛼	𝜆	𝑎	𝑏	AIC	CAIC	BIC
EHLF	0.7763	32571	0.2372	214859	2053.2	2053.3	2068.6
	(0.0231)	(39.0598)	(0.00083)	(258.3702)
Fréchet			0.6922	6.4136	2753.5	2753.6	2761.2
			(0.0199)	(0.5315)
	𝛼	𝜆	𝑎	𝑏
EHLLL	0.3606	1.7327	14.7483	6.4320	1965.6	1965.7	1981.0
	(0.0243)	(0.2559)	(0.5335)	(0.1514)
LL			11.0946	3.7223	2111.6	2111.7	2119.2
			(0.2693)	(0.1724)
	𝛼	𝜆	𝑎	𝑏
EHLGHN	0.6920	0.2596	2.2792	8.7710	1931.2	1931.4	1946.6
	(0.0856)	(0.0307)	(0.2490)	(0.8810)
GHN			2.4436	13.3254	1957.1	1957.2	1964.8
			(0.1117)	(0.2214)
	𝛼	𝛾	𝑎	𝑏
BW	7.5373	4.5942	0.3081	0.0644	1930.1	1930.2	1945.5
	(0.7844)	(0.2797)	(0.0434)	(0.0221)
	𝛼	𝛽	𝑎	𝑏
𝛽-BS	160.55	0.0064	319.49	212.23	2020.8	2020.9	2036.1
	(63.2068)	(0.0050)	(0.3590)	(0.0256)