hP {DGLMExtPois}

The hyper-Poisson Distribution

Description

Density, distribution function and random generation for the hyper-Poisson distribution with parameters gamma and lambda.

Usage

dhP(x, gamma, lambda)

phP(q, gamma, lambda, lower.tail = TRUE)

rhP(n, gamma, lambda)

Arguments

x

vector of (non-negative integer) quantiles.

gamma

dispersion parameter. Must be strictly positive.

lambda

location parameter. Must be strictly positive.

q

vector of quantiles.

lower.tail

logical; if TRUE (default), probabilities are P[X \le x], otherwise, P[X > x].

n

number of random values to return.

Value

dhP gives the density, phP gives the distribution function and rhP generates random deviates.

Invalid gamma or lambda will result in return value NaN, with a warning.

The length of the result is determined by n for rhP, and is the maximum of the lengths of the numerical arguments for the other functions.

The numerical arguments other than n are recycled to the length of the result. Only the first element of the logical arguments is used.

Examples

## density function for hyper-Poisson
dhP(3, 15, 2)
## distribution function for hyper-Poisson
phP(3, 15, 2)
## random generation for the hyper-Poisson
rhP(10, 15, 2)