DGLMExtPois (version 0.2.3)

hP: 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)

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.

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.

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)