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

 ZeroInflated R Documentation

## Zero-Inflated Distributions

### Description

Density and distribution functions for zero-inflated distributions.

### Usage

```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_binomial(x, size, mu, phi, zi, log = FALSE)

pzero_inflated_beta_binomial(
q,
size,
mu,
phi,
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 `phi` precision parameter

### 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 Sept. 19, 2022, 5:06 p.m.