Syntax

C#
public static double Pareto( double x, double xm, double k )

Visual Basic (Declaration)
Public Shared Function Pareto ( _ x As Double, _ xm As Double, _ k As Double _ ) As Double

Visual C++
public: static double Pareto( double x, double xm, double k )

x: Type: System..::.Double
A double scalar value representing the argument at which the function is to be evaluated.

xm: Type: System..::.Double
A double scalar value representing the scale parameter, .

k: Type: System..::.Double
A double scalar value representing the shape parameter, .

A double scalar value representing the probability that a Pareto random variable takes a value less than or equal to x.

Remarks

Method Cdf.Pareto evaluates the distribution function, F, of a Pareto random variable with scale parameter

and shape parameter k. It is given by

$F(x,x_m,k)=1-\left(\frac{x_m}{x}\right)^{ k}$

where

and

. The function is only defined for $x\geq x_m$ .