Dagum Distribution

Parameters

Domain

Four-Parameter Dagum Distribution

Probability Density Function

Cumulative Distribution Function

Three-Parameter Dagum 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("Dagum";Data;[Options]1)
Probability Density Function	DagumPdf(x,k,alpha,beta,[gamma])	=DagumPdf(k;alpha;beta;[gamma]) =DistPdf("Dagum(k;alpha;beta;[gamma])";x)
Cumulative Distribution Function	DagumCdf(x,k,alpha,beta,[gamma])	=DagumCdf(k;alpha;beta;[gamma]) =DistCdf("Dagum(k;alpha;beta;[gamma])";x)
Survival Function	DagumSurv(x,k,alpha,beta,[gamma])	=DistSurv("Dagum(k;alpha;beta;[gamma])";x)
Hazard Function	DagumHaz(x,k,alpha,beta,[gamma])	=DagumHaz(k;alpha;beta;[gamma]) =DistHaz("Dagum(k;alpha;beta;[gamma])";x)
Cumulative Hazard Function	DagumCumHaz(x,k,alpha,beta,[gamma])	=DistCumHaz("Dagum(k;alpha;beta;[gamma])";x)
Inverse CDF (Quantile Function)	DagumInv(P,k,alpha,beta,[gamma])	=DagumInv(k;alpha;beta;[gamma]) =DistInv("Dagum(k;alpha;beta;[gamma])";P)
Random Numbers	DagumRand(k,alpha,beta,[gamma])	=DagumRand(k;alpha;beta;[gamma]) =DistRand("Dagum(k;alpha;beta;[gamma])")
Mode	DagumMode(k,alpha,beta,[gamma])	=DistMode("Dagum(k;alpha;beta;[gamma])")
Mean	DagumMean(k,alpha,beta,[gamma])	=DagumMean(k;alpha;beta;[gamma]) =DistMean("Dagum(k;alpha;beta;[gamma])")
Variance	DagumVar(k,alpha,beta,[gamma])	=DagumVar(k;alpha;beta;[gamma]) =DistVar("Dagum(k;alpha;beta;[gamma])")
Standard Deviation	DagumStdev(k,alpha,beta,[gamma])	=DagumStdev(k;alpha;beta;[gamma]) =DistStdev("Dagum(k;alpha;beta;[gamma])")
Skewness	DagumSkew(k,alpha,beta,[gamma])	=DistSkew("Dagum(k;alpha;beta;[gamma])")
(Excess) Kurtosis	DagumKurt(k,alpha,beta,[gamma])	=DistKurt("Dagum(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).