Generalized Gamma Distribution

Parameters

Domain

Four-Parameter Generalized Gamma Distribution

Probability Density Function

Cumulative Distribution Function

Three-Parameter Generalized Gamma Distribution

Probability Density Function

Cumulative Distribution Function

Worksheet and VBA Functions

The following worksheet and VBA functions are available for this distribution:

Description	VBA Functions	Worksheet Functions
Distribution Fitting	-	=DistFit("GenGamma";Data;[Options]1)
Probability Density Function	GenGammaPdf(x,k,alpha,beta,[gamma])	=GenGammaPdf(k;alpha;beta;[gamma]) =DistPdf("GenGamma(k;alpha;beta;[gamma])";x)
Cumulative Distribution Function	GenGammaCdf(x,k,alpha,beta,[gamma])	=GenGammaCdf(k;alpha;beta;[gamma]) =DistCdf("GenGamma(k;alpha;beta;[gamma])";x)
Survival Function	GenGammaSurv(x,k,alpha,beta,[gamma])	=DistSurv("GenGamma(k;alpha;beta;[gamma])";x)
Hazard Function	GenGammaHaz(x,k,alpha,beta,[gamma])	=GenGammaHaz(k;alpha;beta;[gamma]) =DistHaz("GenGamma(k;alpha;beta;[gamma])";x)
Cumulative Hazard Function	GenGammaCumHaz(x,k,alpha,beta,[gamma])	=DistCumHaz("GenGamma(k;alpha;beta;[gamma])";x)
Inverse CDF (Quantile Function)	GenGammaInv(P,k,alpha,beta,[gamma])	=GenGammaInv(k;alpha;beta;[gamma]) =DistInv("GenGamma(k;alpha;beta;[gamma])";P)
Random Numbers	GenGammaRand(k,alpha,beta,[gamma])	=GenGammaRand(k;alpha;beta;[gamma]) =DistRand("GenGamma(k;alpha;beta;[gamma])")
Mode	GenGammaMode(k,alpha,beta,[gamma])	=DistMode("GenGamma(k;alpha;beta;[gamma])")
Mean	GenGammaMean(k,alpha,beta,[gamma])	=GenGammaMean(k;alpha;beta;[gamma]) =DistMean("GenGamma(k;alpha;beta;[gamma])")
Variance	GenGammaVar(k,alpha,beta,[gamma])	=GenGammaVar(k;alpha;beta;[gamma]) =DistVar("GenGamma(k;alpha;beta;[gamma])")
Standard Deviation	GenGammaStdev(k,alpha,beta,[gamma])	=GenGammaStdev(k;alpha;beta;[gamma]) =DistStdev("GenGamma(k;alpha;beta;[gamma])")
Skewness	GenGammaSkew(k,alpha,beta,[gamma])	=DistSkew("GenGamma(k;alpha;beta;[gamma])")
(Excess) Kurtosis	GenGammaKurt(k,alpha,beta,[gamma])	=DistKurt("GenGamma(k;alpha;beta;[gamma])")

1. The Options parameter is optional. Possible options: "gamma=value"  (example: "gamma=0")
2. The gamma parameter is optional (the default value is 0).