Kumaraswamy Distribution

Parameters

Domain

Probability Density Function

Cumulative Distribution Function

where

Worksheet and VBA Functions

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

Description	VBA Functions	Worksheet Functions
Distribution Fitting	-	=DistFit("Kumaraswamy";Data;[Options]1)
Probability Density Function	KumaraswamyPdf(x,alpha1,alpha2,a,b)	=KumaraswamyPdf(alpha1;alpha2;a;b) =DistPdf("Kumaraswamy(alpha1;alpha2;a;b)";x)
Cumulative Distribution Function	KumaraswamyCdf(x,alpha1,alpha2,a,b)	=KumaraswamyCdf(alpha1;alpha2;a;b) =DistCdf("Kumaraswamy(alpha1;alpha2;a;b)";x)
Survival Function	KumaraswamySurv(x,alpha1,alpha2,a,b)	=DistSurv("Kumaraswamy(alpha1;alpha2;a;b)";x)
Hazard Function	KumaraswamyHaz(x,alpha1,alpha2,a,b)	=KumaraswamyHaz(alpha1;alpha2;a;b) =DistHaz("Kumaraswamy(alpha1;alpha2;a;b)";x)
Cumulative Hazard Function	KumaraswamyCumHaz(x,alpha1,alpha2,a,b)	=DistCumHaz("Kumaraswamy(alpha1;alpha2;a;b)";x)
Inverse CDF (Quantile Function)	KumaraswamyInv(P,alpha1,alpha2,a,b)	=KumaraswamyInv(alpha1;alpha2;a;b) =DistInv("Kumaraswamy(alpha1;alpha2;a;b)";P)
Random Numbers	KumaraswamyRand(alpha1,alpha2,a,b)	=KumaraswamyRand(alpha1;alpha2;a;b) =DistRand("Kumaraswamy(alpha1;alpha2;a;b)")
Mode	KumaraswamyMode(alpha1,alpha2,a,b)	=DistMode("Kumaraswamy(alpha1;alpha2;a;b)")
Mean	KumaraswamyMean(alpha1,alpha2,a,b)	=KumaraswamyMean(alpha1;alpha2;a;b) =DistMean("Kumaraswamy(alpha1;alpha2;a;b)")
Variance	KumaraswamyVar(alpha1,alpha2,a,b)	=KumaraswamyVar(alpha1;alpha2;a;b) =DistVar("Kumaraswamy(alpha1;alpha2;a;b)")
Standard Deviation	KumaraswamyStdev(alpha1,alpha2,a,b)	=KumaraswamyStdev(alpha1;alpha2;a;b) =DistStdev("Kumaraswamy(alpha1;alpha2;a;b)")
Skewness	KumaraswamySkew(alpha1,alpha2,a,b)	=DistSkew("Kumaraswamy(alpha1;alpha2;a;b)")
(Excess) Kurtosis	KumaraswamyKurt(alpha1,alpha2,a,b)	=DistKurt("Kumaraswamy(alpha1;alpha2;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")