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# Pearson Type 5 Distribution

## Parameters

- continuous shape parameter ()
- continuous scale parameter ()
- continuous location parameter ( yields the two-parameter Pearson 5 distribution)

## Worksheet and VBA Functions

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

 Description VBA Functions Worksheet Functions Distribution Fitting - ``` =DistFit("Pearson5";Data;[Options]```1```) ``` Probability Density Function `Pearson5Pdf(x,alpha,beta,[gamma])` ``` =Pearson5Pdf(alpha;beta;[gamma]) =DistPdf("Pearson5(alpha;beta;[gamma])";x) ``` Cumulative Distribution Function `Pearson5Cdf(x,alpha,beta,[gamma])` ``` =Pearson5Cdf(alpha;beta;[gamma]) =DistCdf("Pearson5(alpha;beta;[gamma])";x) ``` Survival Function `Pearson5Surv(x,alpha,beta,[gamma])` ``` =DistSurv("Pearson5(alpha;beta;[gamma])";x) ``` Hazard Function `Pearson5Haz(x,alpha,beta,[gamma])` ``` =Pearson5Haz(alpha;beta;[gamma]) =DistHaz("Pearson5(alpha;beta;[gamma])";x) ``` Cumulative Hazard Function `Pearson5CumHaz(x,alpha,beta,[gamma])` ``` =DistCumHaz("Pearson5(alpha;beta;[gamma])";x) ``` Inverse CDF (Quantile Function) `Pearson5Inv(P,alpha,beta,[gamma])` ``` =Pearson5Inv(alpha;beta;[gamma]) =DistInv("Pearson5(alpha;beta;[gamma])";P) ``` Random Numbers `Pearson5Rand(alpha,beta,[gamma])` ``` =Pearson5Rand(alpha;beta;[gamma]) =DistRand("Pearson5(alpha;beta;[gamma])") ``` Mode `Pearson5Mode(alpha,beta,[gamma])` ``` =DistMode("Pearson5(alpha;beta;[gamma])") ``` Mean `Pearson5Mean(alpha,beta,[gamma])` ``` =Pearson5Mean(alpha;beta;[gamma]) =DistMean("Pearson5(alpha;beta;[gamma])") ``` Variance `Pearson5Var(alpha,beta,[gamma])` ``` =Pearson5Var(alpha;beta;[gamma]) =DistVar("Pearson5(alpha;beta;[gamma])") ``` Standard Deviation `Pearson5Stdev(alpha,beta,[gamma])` ``` =Pearson5Stdev(alpha;beta;[gamma]) =DistStdev("Pearson5(alpha;beta;[gamma])") ``` Skewness `Pearson5Skew(alpha,beta,[gamma])` ``` =DistSkew("Pearson5(alpha;beta;[gamma])") ``` (Excess) Kurtosis `Pearson5Kurt(alpha,beta,[gamma])` ``` =DistKurt("Pearson5(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).