Pareto (First Kind) Distribution
Parameters
- continuous shape parameter
()
- continuous scale parameter
()
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("Pareto";Data)
|
Probability Density Function |
ParetoPdf(x,alpha,beta) |
=ParetoPdf(alpha;beta)
=DistPdf("Pareto(alpha;beta)";x)
|
Cumulative Distribution Function |
ParetoCdf(x,alpha,beta) |
=ParetoCdf(alpha;beta)
=DistCdf("Pareto(alpha;beta)";x)
|
Survival Function |
ParetoSurv(x,alpha,beta) |
=DistSurv("Pareto(alpha;beta)";x)
|
Hazard Function |
ParetoHaz(x,alpha,beta) |
=ParetoHaz(alpha;beta)
=DistHaz("Pareto(alpha;beta)";x)
|
Cumulative Hazard Function |
ParetoCumHaz(x,alpha,beta) |
=DistCumHaz("Pareto(alpha;beta)";x)
|
Inverse CDF (Quantile Function) |
ParetoInv(P,alpha,beta) |
=ParetoInv(alpha;beta)
=DistInv("Pareto(alpha;beta)";P)
|
Random Numbers |
ParetoRand(alpha,beta) |
=ParetoRand(alpha;beta)
=DistRand("Pareto(alpha;beta)")
|
Mode |
ParetoMode(alpha,beta) |
=DistMode("Pareto(alpha;beta)")
|
Mean |
ParetoMean(alpha,beta) |
=ParetoMean(alpha;beta)
=DistMean("Pareto(alpha;beta)")
|
Variance |
ParetoVar(alpha,beta) |
=ParetoVar(alpha;beta)
=DistVar("Pareto(alpha;beta)")
|
Standard Deviation |
ParetoStdev(alpha,beta) |
=ParetoStdev(alpha;beta)
=DistStdev("Pareto(alpha;beta)")
|
Skewness |
ParetoSkew(alpha,beta) |
=DistSkew("Pareto(alpha;beta)")
|
(Excess) Kurtosis |
ParetoKurt(alpha,beta) |
=DistKurt("Pareto(alpha;beta)")
|
|