RiskBetaGeneral

Description

RiskBetaGeneral(alpha1,alpha2,minimum,maximum) specifies a beta distribution with the defined minimum and maximum and shape parameters alpha1 and alpha2. The BetaGeneral is directly derived from the Beta distribution by scaling the [0,1] range of the Beta distribution to instead have the specified minimum and maximum values. (The PERT distribution is a special case of the BetaGeneral distribution.)

Examples

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

RiskBetaGeneral(C12,C13,D12,D13) returns a beta 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

Density and Cumulative Distribution Functions

with

Here, B is the Beta Function and B_z is the Incomplete Beta Function.

Mean

Variance

Skewness

Kurtosis

Mode

min            or

max            or

Examples