Power Function Distribution

Parameters

Domain

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("PowerFunc";Data;[Options]1)
Probability Density Function	PowerFuncPdf(x,alpha,a,b)	=PowerFuncPdf(alpha;a;b) =DistPdf("PowerFunc(alpha;a;b)";x)
Cumulative Distribution Function	PowerFuncCdf(x,alpha,a,b)	=PowerFuncCdf(alpha;a;b) =DistCdf("PowerFunc(alpha;a;b)";x)
Survival Function	PowerFuncSurv(x,alpha,a,b)	=DistSurv("PowerFunc(alpha;a;b)";x)
Hazard Function	PowerFuncHaz(x,alpha,a,b)	=PowerFuncHaz(alpha;a;b) =DistHaz("PowerFunc(alpha;a;b)";x)
Cumulative Hazard Function	PowerFuncCumHaz(x,alpha,a,b)	=DistCumHaz("PowerFunc(alpha;a;b)";x)
Inverse CDF (Quantile Function)	PowerFuncInv(P,alpha,a,b)	=PowerFuncInv(alpha;a;b) =DistInv("PowerFunc(alpha;a;b)";P)
Random Numbers	PowerFuncRand(alpha,a,b)	=PowerFuncRand(alpha;a;b) =DistRand("PowerFunc(alpha;a;b)")
Mode	PowerFuncMode(alpha,a,b)	=DistMode("PowerFunc(alpha;a;b)")
Mean	PowerFuncMean(alpha,a,b)	=PowerFuncMean(alpha;a;b) =DistMean("PowerFunc(alpha;a;b)")
Variance	PowerFuncVar(alpha,a,b)	=PowerFuncVar(alpha;a;b) =DistVar("PowerFunc(alpha;a;b)")
Standard Deviation	PowerFuncStdev(alpha,a,b)	=PowerFuncStdev(alpha;a;b) =DistStdev("PowerFunc(alpha;a;b)")
Skewness	PowerFuncSkew(alpha,a,b)	=DistSkew("PowerFunc(alpha;a;b)")
(Excess) Kurtosis	PowerFuncKurt(alpha,a,b)	=DistKurt("PowerFunc(alpha;a;b)")

1. The Options parameter is optional. Possible options:
   • "a=value"  (example: "a=0")
   • "b=value"  (example: "b=10")
   • "a=value1;b=value2"  (example: "a=2;b=8")