oibeta: One-inflated beta distribution

In RTMBdist: Distributions Compatible with Automatic Differentiation by 'RTMB'

One-inflated beta distribution

Description

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	one-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.

Details

This implementation allows for automatic differentiation with RTMB.

f(x;\,a,b,p_1) = p_1\,\mathbf{1}[x=1] + (1-p_1)\,f_{\mathrm{Beta}}(x;\,a,b)\,\mathbf{1}[x\in(0,1)],

where f_{\mathrm{Beta}} is the beta density and p_1 is oneprob.

Value

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

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)

RTMBdist documentation built on Oct. 31, 2026, 5:07 p.m.