LogGamma distribution

MR_dice_icon.jpg Download a complete copy of this risk analysis resource for free here.

Format: VoseLogGamma(a, b, l, U)

LogGamma equations

image239.gif

Uses

A Variable X is LogGamma distributed if its natural log is Gamma distributed. In ModelRisk we include an extra minimum parameter l because a standard LogGamma distribution has (rather inconveniently) a minimum value of 1 when the Gamma variable = 0. Thus:

LogGamma(a, β, l) = EXP[Gamma(a, β)] +(l-1)

 

The LogGamma distribution is sometimes used to model the distribution of claim size in insurance. Set l= 1 to get the standard LogGamma(a, β) distribution.

VoseFunctions for this distribution

VoseLogGamma generates values from this distribution or calculates a percentile

VoseLogGammaObject constructs a distribution object for this distribution

VoseLogGammaProb returns the probability density or cumulative distribution function for this distribution

VoseLogGammaProb10 returns the log10 of the probability density or cumulative distribution function  

VoseLogGammaFit generates values from this distribution fitted to data, or calculates a percentile from the fitted distribution

VoseLogGammaFitObject constructs a distribution object of this distribution fitted to data

VoseLogGammaFitP returns the parameters of this distribution fitted to data