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VGAM (version 1.1-12)

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

Run this code
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") 

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