VGAM (version 1.1-9)

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)

Value

dbort gives the density,

rbort generates random deviates.

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.

Author

T. W. Yee

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

if (FALSE)  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")