Probabilities.ZipfCDF Function

Zipf distribution cumulative distribution function (CDF).

Pascal

function ZipfCDF(x: Integer; s: double; N: Integer): double; overload;

Parameters	Description
x	Function domain, positive integer or zero [0,N].
s	Distribution parameter, real positive value.
N	Distribution parameter, positive integer.

the Zipf distribution cumulative distribution function (CDF).

function ZipfPDF(x: Integer; s: single; N: Integer): single; overload;

Calculates the Zipf cumulative density function. The Zipf probability density function is defined by the following equation:

where H(N,s) is a generalized Harmonic function, evaluated at parameters N,s and N,s-1 respectively.