The Arctan-X Family of Distributions: Properties, Simulation, and Applications to Actuarial Sciences

Table 7

The AIC, BIC, CAIC, HQIC, and likelihood values for the insurance data.

Distribution
		AIC	BIC	CAIC	HQIC
AT-W	−277.467	558.934	563.054	559.152	560.539
Weibull	−279.439	562.878	566.483	563.096	564.483
Burr-XII	−278.724	563.449	569.630	563.893	565.856
Beta-W	−282.961	573.922	582.164	574.677	577.132
Kappa	−289.477	582.955	587.076	583.955	584.560