trawl (version 0.2.2)

ModLSD_Mean: Computes the mean of the modified logarithmic series distribution

Description

Computes the mean of the modified logarithmic series distribution

Usage

ModLSD_Mean(delta, p)

Arguments

delta

parameter \(\delta\) of the modified logarithmic series distribution

p

parameter of the modified logarithmic series distribution

Value

Mean of the modified logarithmic series distribution

Details

A random variable \(X\) has modified logarithmic series distribution with parameters \(0 \le \delta <1\) and \(0<p<1\) if \(P(X=0)=(1-\delta)\) and $$P(X=x)=(1-\delta)(-1)/(\log(1-p))p^x/x, \mbox{ for } x=1,2,\dots.$$