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# Gamma Distribution

## Parameters

- continuous shape parameter ()
- continuous scale parameter ()
- continuous location parameter ( yields the two-parameter Gamma distribution)

## Two-Parameter Gamma Distribution

### Cumulative Distribution Function

where is the Gamma Function,  and is the Incomplete Gamma Function.

## Worksheet and VBA Functions

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

 Description VBA Functions Worksheet Functions Distribution Fitting - ``` =DistFit("Gamma";Data;[Options]```1```) ``` Probability Density Function `GammaPdf(x,alpha,beta,[gamma])` ``` =GammaPdf(alpha;beta;[gamma]) =DistPdf("Gamma(alpha;beta;[gamma])";x) ``` Cumulative Distribution Function `GammaCdf(x,alpha,beta,[gamma])` ``` =GammaCdf(alpha;beta;[gamma]) =DistCdf("Gamma(alpha;beta;[gamma])";x) ``` Survival Function `GammaSurv(x,alpha,beta,[gamma])` ``` =DistSurv("Gamma(alpha;beta;[gamma])";x) ``` Hazard Function `GammaHaz(x,alpha,beta,[gamma])` ``` =GammaHaz(alpha;beta;[gamma]) =DistHaz("Gamma(alpha;beta;[gamma])";x) ``` Cumulative Hazard Function `GammaCumHaz(x,alpha,beta,[gamma])` ``` =DistCumHaz("Gamma(alpha;beta;[gamma])";x) ``` Inverse CDF (Quantile Function) `GammaInv(P,alpha,beta,[gamma])` ``` =GammaInv(alpha;beta;[gamma]) =DistInv("Gamma(alpha;beta;[gamma])";P) ``` Random Numbers `GammaRand(alpha,beta,[gamma])` ``` =GammaRand(alpha;beta;[gamma]) =DistRand("Gamma(alpha;beta;[gamma])") ``` Mode `GammaMode(alpha,beta,[gamma])` ``` =DistMode("Gamma(alpha;beta;[gamma])") ``` Mean `GammaMean(alpha,beta,[gamma])` ``` =GammaMean(alpha;beta;[gamma]) =DistMean("Gamma(alpha;beta;[gamma])") ``` Variance `GammaVar(alpha,beta,[gamma])` ``` =GammaVar(alpha;beta;[gamma]) =DistVar("Gamma(alpha;beta;[gamma])") ``` Standard Deviation `GammaStdev(alpha,beta,[gamma])` ``` =GammaStdev(alpha;beta;[gamma]) =DistStdev("Gamma(alpha;beta;[gamma])") ``` Skewness `GammaSkew(alpha,beta,[gamma])` ``` =DistSkew("Gamma(alpha;beta;[gamma])") ``` (Excess) Kurtosis `GammaKurt(alpha,beta,[gamma])` ``` =DistKurt("Gamma(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).
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