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Power Function Distribution

Parameters

- continuous shape parameter ()
, - continuous boundary 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")
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