RTMBdist (version 0.1.0)

zibeta2: Reparameterised zero-inflated beta distribution

Description

Density, distribution function, and random generation for the zero-inflated beta distribution reparameterised in terms of mean and concentration.

Usage

dzibeta2(x, mu, phi, zeroprob = 0, log = FALSE)
pzibeta2(q, mu, phi, zeroprob = 0, lower.tail = TRUE, log.p = FALSE)
rzibeta2(n, mu, phi, zeroprob = 0)

Value

dzibeta2 gives the density, pzibeta2 gives the distribution function, and rzibeta2 generates random deviates.

Arguments

x, q

vector of quantiles

mu

mean parameter, must be in the interval from 0 to 1.

phi

concentration 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 (default), probabilities are \(P[X \le x]\), otherwise \(P[X > x]\).

n

number of random values to return.

p

vector of probabilities

Details

This implementation allows for automatic differentiation with RTMB.

Examples

set.seed(123)
x <- rzibeta2(1, 0.5, 1, 0.5)
d <- dzibeta2(x, 0.5, 1, 0.5)
p <- pzibeta2(x, 0.5, 1, 0.5)