One-truncated Zeta Distribution
Density, distribution function, quantile function, and random generation for the one-truncated zeta distribution.
dotzeta(x, shape, log = FALSE) potzeta(q, shape, log.p = FALSE) qotzeta(p, shape) rotzeta(n, shape)
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.
dotzeta gives the density,
potzeta gives the distribution function,
qotzeta gives the quantile function, and
rotzeta generates random deviates.
Given some response data, the VGAM family function
otzeta estimates the parameter shape.
T. W. Yee
dotzeta(1:20, 0.5)
rotzeta(20, 0.5)
## Not run: 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 distribution: blue=PMF; orange=CDF")
lines(x + 0.1, potzeta(x, shape = shape), col = "orange", lty = 3, type = "h")
## End(Not run)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.