R: The Borel-Tanner Distribution

Bort {VGAM} | R Documentation

## The Borel-Tanner Distribution

### Description

Density and random generation for the Borel-Tanner distribution.

### Usage

    dbort(x, Qsize = 1, a = 0.5, log = FALSE)
    rbort(n, Qsize = 1, a = 0.5)

### Arguments

`x` | vector of quantiles.

`n` | number of observations. Must be a positive integer of length 1.
`Qsize, a` | See `borel.tanner`.
`log` | Logical. If `log = TRUE` then the logarithm of the density is returned.

### Details

See `borel.tanner`, the VGAM family function for estimating the parameter, for the formula of the probability density function and other details.

### Value

`dbort` gives the density, `rbort` generates random deviates.

### Warning

Looping is used for `rbort`, therefore values of `a` close to 1 will result in long (or infinite!) computational times. The default value of `a` is subjective.

### Author(s)

T. W. Yee

### See Also

`borel.tanner`.

### Examples

    ## Not run:  qsize <- 1; a <- 0.5; x <- qsize:(qsize+10)
    plot(x, dbort(x, qsize, a), type = "h", las = 1, col = "blue",
         ylab = paste("fbort(qsize=", qsize, ", a=", a, ")"), log = "y",
         main = "Borel-Tanner density function")
    ## End(Not run)

[Package VGAM version 1.1-3 Index]