BNBDist {brr} R Documentation

## Beta-negative binomial distribution

### Description

Density, cumulative function, quantile function and random generation for the Beta-negative binomial distribution with shape parameters `a`, `c`, `d`.

### Usage

```dbeta_nbinom(x, a, c, d, ...)

pbeta_nbinom(q, a, c, d, ...)

qbeta_nbinom(p, a, c, d, ...)

rbeta_nbinom(n, a, c, d)

sbeta_nbinom(a, c, d)

summary_beta_nbinom(a, c, d, output = "list", ...)
```

### Arguments

 `x,q` vector of non-negative integer quantities `a,c,d` non-negative shape parameters `...` other arguments passed to `ghyper` `p` vector of probabilities `n` number of observations to be sampled `output` type of the `summary_beta_nbinom` output: `"list"` to return a list, `"pandoc"` to print a table

### Details

This is the mixture distribution obtained by sampling a value b from a Beta distribution with parameters c, d, then sampling a value λ from a Gamma distribution with shape a and rate b/(1-b), and then sampling a Poisson distribution with mean λ.

### Value

`dbeta_nbinom` gives the density, `pbeta_nbinom` the cumulative function, `qbeta_nbinom` the quantile function, `rbeta_nbinom` samples from the distribution, `sbeta_nbinom` and `summary_beta_nbinom` give some summaries of the distribution.

### Note

`BNBDist` is a generic name for the functions documented.

### Examples

```a <- 2 ; c <- 5 ; d <- 30
barplot(dbeta_nbinom(0:50, a, c, d), names=0:50)
summary_beta_nbinom(a, c, d)
```

[Package brr version 1.0.0 Index]