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# Gumbel Max (Maximum Extreme Value Type 1) Distribution

## Parameters

- continuous scale parameter ()
- continuous location parameter

where

## Worksheet and VBA Functions

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

 Description VBA Functions Worksheet Functions Distribution Fitting - ``` =DistFit("GumbelMax";Data) ``` Probability Density Function `GumbelMaxPdf(x,sigma,mu)` ``` =GumbelMaxPdf(sigma;mu) =DistPdf("GumbelMax(sigma;mu)";x) ``` Cumulative Distribution Function `GumbelMaxCdf(x,sigma,mu)` ``` =GumbelMaxCdf(sigma;mu) =DistCdf("GumbelMax(sigma;mu)";x) ``` Survival Function `GumbelMaxSurv(x,sigma,mu)` ``` =DistSurv("GumbelMax(sigma;mu)";x) ``` Hazard Function `GumbelMaxHaz(x,sigma,mu)` ``` =GumbelMaxHaz(sigma;mu) =DistHaz("GumbelMax(sigma;mu)";x) ``` Cumulative Hazard Function `GumbelMaxCumHaz(x,sigma,mu)` ``` =DistCumHaz("GumbelMax(sigma;mu)";x) ``` Inverse CDF (Quantile Function) `GumbelMaxInv(P,sigma,mu)` ``` =GumbelMaxInv(sigma;mu) =DistInv("GumbelMax(sigma;mu)";P) ``` Random Numbers `GumbelMaxRand(sigma,mu)` ``` =GumbelMaxRand(sigma;mu) =DistRand("GumbelMax(sigma;mu)") ``` Mode `GumbelMaxMode(sigma,mu)` ``` =DistMode("GumbelMax(sigma;mu)") ``` Mean `GumbelMaxMean(sigma,mu)` ``` =GumbelMaxMean(sigma;mu) =DistMean("GumbelMax(sigma;mu)") ``` Variance `GumbelMaxVar(sigma,mu)` ``` =GumbelMaxVar(sigma;mu) =DistVar("GumbelMax(sigma;mu)") ``` Standard Deviation `GumbelMaxStdev(sigma,mu)` ``` =GumbelMaxStdev(sigma;mu) =DistStdev("GumbelMax(sigma;mu)") ``` Skewness `GumbelMaxSkew(sigma,mu)` ``` =DistSkew("GumbelMax(sigma;mu)") ``` (Excess) Kurtosis `GumbelMaxKurt(sigma,mu)` ``` =DistKurt("GumbelMax(sigma;mu)") ```