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Download a pdf copy of this help file here |
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Download a pdf copy of this help file here |
Format: VoseLogGamma(a, b,
l,
U)
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.
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