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

Table 1

New contributed special cases of the Arctan-X family.

No.	Baseline model	cdf	Generated model	Support
1	Weibull		AT-Weibull
2	Log-logistic		AT-Log logistic
3	Lomax		AT-Lomax
4	Dagum		AT-Dagum
5	Uniform		AT-Uniform
6	Burr-XII		AT-BXII
7	Gamma		AT-Gamma
8	Gompertz		AT-Gompertz
9	Gumbel		AT-Gumbel
10	Lindley		AT-Lindley
11	Kumaraswamy		AT-Kumaraswamy
12	Pareto		AT-Pareto
13	Normal		AT-Normal
14	Rayleigh		AT-Rayleigh
15	Exponential		AT-Exponential