VGAM (version 0.8-4.1)

Bort: 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.

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.

Details

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

See Also

borel.tanner.

Examples

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, ")"),
     main="Borel-Tanner density function")