logseries: Logseries distribution
In ajrominger/pika: Tools for macroecology

dlseries

R Documentation

Logseries distribution

Description

dlseries gives the probability mass function, plseries gives the cumulative mass function, qlseries the quantile function, rlseries randome number generation

Usage

dlseries(x, beta, log = FALSE)

plseries(q, beta, lower.tail = TRUE, log = FALSE)

qlseries(p, beta, lower.tail = TRUE, log = FALSE)

rlseries(n, beta)

Arguments

`x`	vector of integers for which to return the probability
`beta`	parameter of the log series, see Details
`log`	logical, should the log probability be used
`q`	vector of integers for which to return the cumulative probability
`lower.tail`	logical, should the lower tail be used
`p`	vector of probabilities for which to return the quantile
`n`	number of random replicates

Details

These functions assume infinite support of the logseries from [1, Inf). An alternate parameterization is used to allow a larger range (i.e. the positive number line) of the parameter beta: \frac{1}{log(1/(1-e^{-β}))} * \frac{e^{-β x}}{x}.