zipfpeMean {zipfextR}

Expected value of the Zipf-PE distribution.

Description

Computes the expected value of the Zipf-PE distribution for given values of parameters \alpha and \beta.

Usage

zipfpeMean(alpha, beta, tolerance = 10^(-4))

Arguments

alpha

Value of the \alpha parameter (\alpha > 2).

beta

Value of the \beta parameter (\beta \in (-\infty, +\infty)).

tolerance

Tolerance used in the calculations (default = 10^{-4}).

Details

The mean of the distribution only exists for \alpha strictly greater than 2. It is computed by calculating the partial sums of the serie, and stopping when two consecutive partial sums differ less than the tolerance value. The value of the last partial sum is returned.

Value

A positive real value corresponding to the mean value of the Zipf-PE distribution.

Examples

zipfpeMean(2.5, 1.3)
zipfpeMean(2.5, 1.3, 10^(-3))