Burr Distribution

Parameters

Domain

Four-Parameter Burr Distribution

Probability Density Function

Cumulative Distribution Function

Three-Parameter Burr 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("Burr";Data;[Options]1)
Probability Density Function	BurrPdf(x,k,alpha,beta,[gamma])	=BurrPdf(k;alpha;beta;[gamma]) =DistPdf("Burr(k;alpha;beta;[gamma])";x)
Cumulative Distribution Function	BurrCdf(x,k,alpha,beta,[gamma])	=BurrCdf(k;alpha;beta;[gamma]) =DistCdf("Burr(k;alpha;beta;[gamma])";x)
Survival Function	BurrSurv(x,k,alpha,beta,[gamma])	=DistSurv("Burr(k;alpha;beta;[gamma])";x)
Hazard Function	BurrHaz(x,k,alpha,beta,[gamma])	=BurrHaz(k;alpha;beta;[gamma]) =DistHaz("Burr(k;alpha;beta;[gamma])";x)
Cumulative Hazard Function	BurrCumHaz(x,k,alpha,beta,[gamma])	=DistCumHaz("Burr(k;alpha;beta;[gamma])";x)
Inverse CDF (Quantile Function)	BurrInv(P,k,alpha,beta,[gamma])	=BurrInv(k;alpha;beta;[gamma]) =DistInv("Burr(k;alpha;beta;[gamma])";P)
Random Numbers	BurrRand(k,alpha,beta,[gamma])	=BurrRand(k;alpha;beta;[gamma]) =DistRand("Burr(k;alpha;beta;[gamma])")
Mode	BurrMode(k,alpha,beta,[gamma])	=DistMode("Burr(k;alpha;beta;[gamma])")
Mean	BurrMean(k,alpha,beta,[gamma])	=BurrMean(k;alpha;beta;[gamma]) =DistMean("Burr(k;alpha;beta;[gamma])")
Variance	BurrVar(k,alpha,beta,[gamma])	=BurrVar(k;alpha;beta;[gamma]) =DistVar("Burr(k;alpha;beta;[gamma])")
Standard Deviation	BurrStdev(k,alpha,beta,[gamma])	=BurrStdev(k;alpha;beta;[gamma]) =DistStdev("Burr(k;alpha;beta;[gamma])")
Skewness	BurrSkew(k,alpha,beta,[gamma])	=DistSkew("Burr(k;alpha;beta;[gamma])")
(Excess) Kurtosis	BurrKurt(k,alpha,beta,[gamma])	=DistKurt("Burr(k;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).