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# Gumbel Min (Minimum 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("GumbelMin";Data) ``` Probability Density Function `GumbelMinPdf(x,sigma,mu)` ``` =GumbelMinPdf(sigma;mu) =DistPdf("GumbelMin(sigma;mu)";x) ``` Cumulative Distribution Function `GumbelMinCdf(x,sigma,mu)` ``` =GumbelMinCdf(sigma;mu) =DistCdf("GumbelMin(sigma;mu)";x) ``` Survival Function `GumbelMinSurv(x,sigma,mu)` ``` =DistSurv("GumbelMin(sigma;mu)";x) ``` Hazard Function `GumbelMinHaz(x,sigma,mu)` ``` =GumbelMinHaz(sigma;mu) =DistHaz("GumbelMin(sigma;mu)";x) ``` Cumulative Hazard Function `GumbelMinCumHaz(x,sigma,mu)` ``` =DistCumHaz("GumbelMin(sigma;mu)";x) ``` Inverse CDF (Quantile Function) `GumbelMinInv(P,sigma,mu)` ``` =GumbelMinInv(sigma;mu) =DistInv("GumbelMin(sigma;mu)";P) ``` Random Numbers `GumbelMinRand(sigma,mu)` ``` =GumbelMinRand(sigma;mu) =DistRand("GumbelMin(sigma;mu)") ``` Mode `GumbelMinMode(sigma,mu)` ``` =DistMode("GumbelMin(sigma;mu)") ``` Mean `GumbelMinMean(sigma,mu)` ``` =GumbelMinMean(sigma;mu) =DistMean("GumbelMin(sigma;mu)") ``` Variance `GumbelMinVar(sigma,mu)` ``` =GumbelMinVar(sigma;mu) =DistVar("GumbelMin(sigma;mu)") ``` Standard Deviation `GumbelMinStdev(sigma,mu)` ``` =GumbelMinStdev(sigma;mu) =DistStdev("GumbelMin(sigma;mu)") ``` Skewness `GumbelMinSkew(sigma,mu)` ``` =DistSkew("GumbelMin(sigma;mu)") ``` (Excess) Kurtosis `GumbelMinKurt(sigma,mu)` ``` =DistKurt("GumbelMin(sigma;mu)") ```