RiskDagum

Description

RiskDagum specifies a Dagum distribution with the parameters , , , and . The Dagum distribution is most commonly used in the modeling of income distribution and actuarial statistics.

 

Examples

RiskDagum(0,1,2,3) returns a Dagum distribution with a location parameter of 0, a scale parameter of 1, and shape parameters 2 and 3.

 

Parameters

      continuous location parameter

      continuous scale parameter           

      continuous shape parameter           

      continuous shape parameter           

 

Domain

           continuous

 

Definitions

where B is the beta function

 

Density and Cumulative Distribution Functions

when

 

Mean

for

 

Variance

for

 

Skewness

for

 

Kurtosis

for

 

Mode

for

for

 

Examples