Gumbel Min (Minimum Extreme Value Type 1) Distribution

Parameters

- continuous scale parameter (

)

- continuous location parameter

Domain

Probability Density Function

Cumulative Distribution Function

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)")