Pearson Type 5 Distribution

Parameters

Domain

Three-Parameter Pearson 5 Distribution

Probability Density Function

Cumulative Distribution Function

Two-Parameter Pearson 5 Distribution

Probability Density Function

Cumulative Distribution Function

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).