ZINB {ZIM}

The Zero-Inflated Negative Binomial Distribution

Description

Density, distribution function, quantile function and random generation for the zero-inflated negative binomial (ZINB) distribution with parameters k, lambda, and omega.

Usage

dzinb(x, k, lambda, omega, log = FALSE)
pzinb(q, k, lambda, omega, lower.tail = TRUE, log.p = FALSE)
qzinb(p, k, lambda, omega, lower.tail = TRUE, log.p = FALSE)
rzinb(n, k, lambda, omega)

Arguments

x, q

vector of quantiles.

p

vector of probabilities.

n

number of random values to return.

k

dispersion parameter.

lambda

vector of (non-negative) means.

omega

zero-inflation parameter.

log, log.p

logical; if TRUE, probabilities p are given as log(p).

lower.tail

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

Value

dzinb gives the density, pzinb gives the distribution function, qzinb gives the quantile function, and rzinb generates random deviates.

See Also

dzip, pzip, qzip, and rzip for the zero-inflated Poisson (ZIP) distribution.

Examples

dzinb(x = 0:10, k = 1, lambda = 1, omega = 0.5)
pzinb(q = c(1, 5, 9), k = 1, lambda = 1, omega = 0.5)
qzinb(p = c(0.25, 0.50, 0.75), k = 1, lambda = 1, omega = 0.5)
set.seed(123)
rzinb(n = 100, k = 1, lambda = 1, omega = 0.5)