# ZeroInflated: Zero-Inflated Distributions In brms: Bayesian Regression Models using 'Stan'

## Description

Density and distribution functions for zero-inflated distributions.

## Usage

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15``` ```dzero_inflated_poisson(x, lambda, zi, log = FALSE) pzero_inflated_poisson(q, lambda, zi, lower.tail = TRUE, log.p = FALSE) dzero_inflated_negbinomial(x, mu, shape, zi, log = FALSE) pzero_inflated_negbinomial(q, mu, shape, zi, lower.tail = TRUE, log.p = FALSE) dzero_inflated_binomial(x, size, prob, zi, log = FALSE) pzero_inflated_binomial(q, size, prob, zi, lower.tail = TRUE, log.p = FALSE) dzero_inflated_beta(x, shape1, shape2, zi, log = FALSE) pzero_inflated_beta(q, shape1, shape2, zi, lower.tail = TRUE, log.p = FALSE) ```

## Arguments

 `x` Vector of quantiles. `zi` zero-inflation probability `log` Logical; If `TRUE`, values are returned on the log scale. `q` Vector of quantiles. `lower.tail` Logical; If `TRUE` (default), return P(X <= x). Else, return P(X > x) . `log.p` Logical; If `TRUE`, values are returned on the log scale. `mu, lambda` location parameter `shape, shape1, shape2` shape parameter `size` number of trials `prob` probability of success on each trial

## Details

The density of a zero-inflated distribution can be specified as follows. If x = 0 set f(x) = θ + (1 - θ) * g(0). Else set f(x) = (1 - θ) * g(x), where g(x) is the density of the non-zero-inflated part.

brms documentation built on Aug. 23, 2021, 5:08 p.m.