Zero-inflated negative binomial distribution

Probability mass function, distribution function, quantile function, and random generation for the zero-inflated negative binomial distribution.

Usage

dzinbinom(x, size, prob, zeroprob = 0, log = FALSE)

pzinbinom(q, size, prob, zeroprob = 0, lower.tail = TRUE, log.p = FALSE)

rzinbinom(n, size, prob, zeroprob = 0)

Arguments

x, q: vector of (non-negative integer) quantiles
size: size parameter, must be positive.
prob: mean parameter, must be positive.
zeroprob: zero-inflation probability between 0 and 1.
log, log.p: logical; if TRUE, probabilities/ densities \(p\) are returned as \(\log(p)\).
lower.tail: logical; if TRUE, probabilities are \(P[X \le x]\), otherwise, \(P[X > x]\).
n: number of random values to return.
p: vector of probabilities

Value

dzinbinom gives the density, pzinbinom gives the distribution function, and rzinbinom generates random deviates.

Details

This implementation allows for automatic differentiation with RTMB.

Examples

set.seed(123)
x <- rzinbinom(1, size = 2, prob = 0.5, zeroprob = 0.5)
d <- dzinbinom(x, size = 2, prob = 0.5, zeroprob = 0.5)
p <- pzinbinom(x, size = 2, prob = 0.5, zeroprob = 0.5)