VGAM (version 1.1-12)

Yules: Yule-Simon Distribution

Description

Density, distribution function, quantile function and random generation for the Yule-Simon distribution.

Usage

dyules(x, shape, log = FALSE)
pyules(q, shape, lower.tail = TRUE, log.p = FALSE)
qyules(p, shape)
ryules(n, shape)

Value

dyules gives the density,

pyules gives the distribution function,

qyules gives the quantile function, and

ryules generates random deviates.

Arguments

x, q, p, n

Same meaning as in Normal.

shape

See yulesimon.

log, lower.tail, log.p

Same meaning as in pnorm or qnorm.

Author

T. W. Yee

Details

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

See Also

yulesimon.

Examples

dyules(1:20, 2.1)
ryules(20, 2.1)

round(1000 * dyules(1:8, 2))
table(ryules(1000, 2))

if (FALSE)  x <- 0:6
plot(x, dyules(x, shape = 2.2), type = "h", las = 1, col = "blue")