VGAMdata (version 1.1-9)

Otzeta: One-truncated Zeta Distribution

Description

Density, distribution function, quantile function, and random generation for the one-truncated zeta distribution.

Usage

dotzeta(x, shape, log = FALSE)
potzeta(q, shape, log.p = FALSE)
qotzeta(p, shape)
rotzeta(n, shape)

Value

dotzeta gives the density,

potzeta gives the distribution function,

qotzeta gives the quantile function, and

rotzeta generates random deviates.

Arguments

x, q, p, n

Same as in runif.

shape

The positive shape parameter described in in zetaff. Here it is called shape because it is positive.

log, log.p

Same as in runif.

Author

T. W. Yee

Details

The one-truncated zeta distribution is a zeta distribution but with the probability of a one being zero. The other probabilities are scaled to add to unity. Some more details are given in zetaff.

See Also

Otzeta, zetaff, Oizeta.

Examples

dotzeta(1:20, 0.5)
rotzeta(20, 0.5)

if (FALSE)  shape <- 0.8; x <- 1:10
plot(x, dotzeta(x, shape = shape), type = "h", ylim = 0:1,
     sub = "shape=0.8", las = 1, col = "blue", ylab = "Probability",
     main = "1-truncated zeta distn: blue=PMF; orange=CDF")
lines(x + 0.1, potzeta(x, shape), col = "orange", lty = 3, type = "h")