zipfpeMean: Expected value of the Zipf-PE distribution.

In zipfextR: Zipf Extended Distributions

Description

Computes the expected value of the Zipf-PE distribution for given values of parameters α and β.

Usage

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

Arguments

alpha	Value of the α parameter (α > 2).
beta	Value of the β parameter (β \in (-∞, +∞)).
tolerance	Tolerance used in the calculations (default = 10^{-4}).

Details

The mean of the distribution only exists for α 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))

zipfextR documentation built on July 8, 2020, 6:23 p.m.