# GammaCount: Gamma Count Distribution In rmutil: Utilities for Nonlinear Regression and Repeated Measurements Models

 Gamma Count 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

`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)
```

rmutil documentation built on March 18, 2022, 6:55 p.m.