One-inflated beta distribution — oibeta • RTMBdist

Density, distribution function, and random generation for the one-inflated beta distribution.

Usage

doibeta(x, shape1, shape2, oneprob = 0, log = FALSE)

poibeta(q, shape1, shape2, oneprob = 0, lower.tail = TRUE, log.p = FALSE)

roibeta(n, shape1, shape2, oneprob = 0)

Arguments

x, q: vector of quantiles
shape1, shape2: non-negative shape parameters of the beta distribution
oneprob: 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 \(P[X <= x]\), otherwise, \(P[X > x]\).
n: number of random values to return.

Value

doibeta gives the density, poibeta gives the distribution function, and roibeta generates random deviates.

Details

This implementation allows for automatic differentiation with RTMB.

Examples

set.seed(123)
x <- roibeta(1, 2, 2, 0.5)
d <- doibeta(x, 2, 2, 0.5)
p <- poibeta(x, 2, 2, 0.5)