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 $$P(X=x)=(1-\delta )(-1)/(\log (1-p))p^x/x,\text{ for }x=1,2,\dots .$$