R: Double Poisson Distribution

DoublePoisson {rmutil} | R Documentation

## Double Poisson Distribution

### Description

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

The double Poisson distribution with `mu` = m has density

p(y) = c(m,s) s^(y/m) (m/y)^(y log(s)) y^(y-1) / y!

for y = 0, …, where c(.) is a normalizing constant.

### Usage

    ddoublepois(y, m, s, log=FALSE)
    pdoublepois(q, m, s)
    qdoublepois(p, m, s)
    rdoublepois(n, m, s)

### Arguments

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

### See Also

`dpois` for the Poisson, `dconsul` for the Consul generalized Poisson, `dgammacount` for the gamma count, `dmultpois` for the multiplicative Poisson, `dpvfpois` for the power variance function Poisson, and `dnbinom` for the negative binomial distribution.

### Examples

    ddoublepois(5,10,0.9)
    pdoublepois(5,10,0.9)
    qdoublepois(0.08,10,0.9)
    rdoublepois(10,10,0.9)

[Package rmutil version 1.1.3 Index]