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# Pareto (First Kind) Distribution

## Parameters

- continuous shape parameter ()
- continuous scale parameter ()

## Worksheet and VBA Functions

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

 Description VBA Functions Worksheet Functions Distribution Fitting - ``` =DistFit("Pareto";Data) ``` Probability Density Function `ParetoPdf(x,alpha,beta)` ``` =ParetoPdf(alpha;beta) =DistPdf("Pareto(alpha;beta)";x) ``` Cumulative Distribution Function `ParetoCdf(x,alpha,beta)` ``` =ParetoCdf(alpha;beta) =DistCdf("Pareto(alpha;beta)";x) ``` Survival Function `ParetoSurv(x,alpha,beta)` ``` =DistSurv("Pareto(alpha;beta)";x) ``` Hazard Function `ParetoHaz(x,alpha,beta)` ``` =ParetoHaz(alpha;beta) =DistHaz("Pareto(alpha;beta)";x) ``` Cumulative Hazard Function `ParetoCumHaz(x,alpha,beta)` ``` =DistCumHaz("Pareto(alpha;beta)";x) ``` Inverse CDF (Quantile Function) `ParetoInv(P,alpha,beta)` ``` =ParetoInv(alpha;beta) =DistInv("Pareto(alpha;beta)";P) ``` Random Numbers `ParetoRand(alpha,beta)` ``` =ParetoRand(alpha;beta) =DistRand("Pareto(alpha;beta)") ``` Mode `ParetoMode(alpha,beta)` ``` =DistMode("Pareto(alpha;beta)") ``` Mean `ParetoMean(alpha,beta)` ``` =ParetoMean(alpha;beta) =DistMean("Pareto(alpha;beta)") ``` Variance `ParetoVar(alpha,beta)` ``` =ParetoVar(alpha;beta) =DistVar("Pareto(alpha;beta)") ``` Standard Deviation `ParetoStdev(alpha,beta)` ``` =ParetoStdev(alpha;beta) =DistStdev("Pareto(alpha;beta)") ``` Skewness `ParetoSkew(alpha,beta)` ``` =DistSkew("Pareto(alpha;beta)") ``` (Excess) Kurtosis `ParetoKurt(alpha,beta)` ``` =DistKurt("Pareto(alpha;beta)") ```