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 \lambda from a Gamma distribution with shape a and rate b/(1-b), and then sampling a Poisson distribution with mean \lambda.

### 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]