R: Gamma Count Distribution

Gamma Count {rmutil} | R Documentation

## Gamma Count Distribution

### Description

These functions provide information about the gamma count distribution with parameters `m` and `s`: density, cumulative distribution, quantiles, and random generation.

The gamma count distribution with `prob` = m has density

p(y) = pgamma(m s, y s, 1)-pgamma(m s, (y+1) s, 1)

for y = 0, …, n where pgamma(m s, 0, 1)=1.

### Usage

    dgammacount(y, m, s, log=FALSE)
    pgammacount(q, m, s)
    qgammacount(p, m, s)
    rgammacount(n, m, s)

### Arguments

`y` | vector of frequencies
`q` | vector of quantiles
`p` | vector of probabilities
`n` | number of values to generate
`m` | vector of probabilities
`s` | vector of overdispersion parameters
`log` | if TRUE, log probabilities are supplied.

### Author(s)

J.K. Lindsey

### See Also

`dpois` for the Poisson, `dconsul` for the Consul generalized Poisson, `ddoublepois` for the double Poisson, `dmultpois` for the multiplicative Poisson distributions, and `dnbinom` for the negative binomial distribution.

### Examples

    dgammacount(5,10,0.9)
    pgammacount(5,10,0.9)
    qgammacount(0.08,10,0.9)
    rgammacount(10,10,0.9)

[Package rmutil version 1.1.3 Index]