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# Frechet (Maximum Extreme Value Type 2) Distribution

## Parameters

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

## Worksheet and VBA Functions

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

 Description VBA Functions Worksheet Functions Distribution Fitting - ``` =DistFit("Frechet";Data;[Options]```1```) ``` Probability Density Function `FrechetPdf(x,alpha,beta,[gamma])` ``` =FrechetPdf(alpha;beta;[gamma]) =DistPdf("Frechet(alpha;beta;[gamma])";x) ``` Cumulative Distribution Function `FrechetCdf(x,alpha,beta,[gamma])` ``` =FrechetCdf(alpha;beta;[gamma]) =DistCdf("Frechet(alpha;beta;[gamma])";x) ``` Survival Function `FrechetSurv(x,alpha,beta,[gamma])` ``` =DistSurv("Frechet(alpha;beta;[gamma])";x) ``` Hazard Function `FrechetHaz(x,alpha,beta,[gamma])` ``` =FrechetHaz(alpha;beta;[gamma]) =DistHaz("Frechet(alpha;beta;[gamma])";x) ``` Cumulative Hazard Function `FrechetCumHaz(x,alpha,beta,[gamma])` ``` =DistCumHaz("Frechet(alpha;beta;[gamma])";x) ``` Inverse CDF (Quantile Function) `FrechetInv(P,alpha,beta,[gamma])` ``` =FrechetInv(alpha;beta;[gamma]) =DistInv("Frechet(alpha;beta;[gamma])";P) ``` Random Numbers `FrechetRand(alpha,beta,[gamma])` ``` =FrechetRand(alpha;beta;[gamma]) =DistRand("Frechet(alpha;beta;[gamma])") ``` Mode `FrechetMode(alpha,beta,[gamma])` ``` =DistMode("Frechet(alpha;beta;[gamma])") ``` Mean `FrechetMean(alpha,beta,[gamma])` ``` =FrechetMean(alpha;beta;[gamma]) =DistMean("Frechet(alpha;beta;[gamma])") ``` Variance `FrechetVar(alpha,beta,[gamma])` ``` =FrechetVar(alpha;beta;[gamma]) =DistVar("Frechet(alpha;beta;[gamma])") ``` Standard Deviation `FrechetStdev(alpha,beta,[gamma])` ``` =FrechetStdev(alpha;beta;[gamma]) =DistStdev("Frechet(alpha;beta;[gamma])") ``` Skewness `FrechetSkew(alpha,beta,[gamma])` ``` =DistSkew("Frechet(alpha;beta;[gamma])") ``` (Excess) Kurtosis `FrechetKurt(alpha,beta,[gamma])` ``` =DistKurt("Frechet(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).