RiskKumaraswamy

Description

RiskKumaraswamy specifies a Kumaraswamy distribution with the defined minimum and maximum and shape parameters and . The Kumaraswamy is a very flexible distribution that can be used as a mathematically simpler replacement for the BetaGeneral distribution.

Examples

RiskKumaraswamy(1,2,0,100) returns a Kumaraswamy distribution over the range from 0 to 100 with shape parameters 1 and 2.

RiskKumaraswamy(C12,C13,D12,D13) returns a Kumaraswamy distribution with its four parameters taken from cells C12, C13, D12, and D13.

Guidelines

     continuous shape parameter      

     continuous shape parameter      

min      continuous boundary parameter      min < max

max      continuous boundary parameter

Domain

min ≤ x ≤ max      continuous

Defintions

where is the beta function

Density and Cumulative Distribution Functions

with

Mean

Variance

Skewness

Kurtosis

Mode

for

min for or

max for or

not defined for or

Examples