On the Usefulness of the Logarithmic Skew Normal Distribution for Describing Claims Size Data

Table 2

Parameter estimates and their standard errors (in brackets), negative of the maximum of the log likelihood function, and AIC without covariates.

				NLL	AIC	CAIC	KS	AD
Danish data
−1.324	3.121	2.075	0.993	3361.486	6730.970	6757.700	0.029	0.001
(0.308)	(0.097)	(0.222)	(0.004)				(0.319)	(0.136)
Norwegian data
657.218	1894.500	1.239	318.836	20966.835	41941.700	41969.100	0.031	0.001
(18.987)	(43.876)	(0.027)	(9.600)				(0.148)	(0.049)