The Zipf Distribution
Density, distribution function, quantile function and random generation for the Zipf distribution.
dzipf(x, N, shape, log = FALSE) pzipf(q, N, shape, log.p = FALSE) qzipf(p, N, shape) rzipf(n, N, shape)
This is a finite version of the zeta distribution.
See zetaff for more details.
In general, these functions runs slower and slower as N increases.
dzipf gives the density,
pzipf gives the cumulative distribution function,
qzipf gives the quantile function, and
rzipf generates random deviates.
T. W. Yee
N <- 10; shape <- 0.5; y <- 1:N
proby <- dzipf(y, N = N, shape = shape)
## Not run: plot(proby ~ y, type = "h", col = "blue", ylab = "Probability",
ylim = c(0, 0.2), main = paste("Zipf(N = ",N,", shape = ",shape,")", sep = ""),
lwd = 2, las = 1)
## End(Not run)
sum(proby) # Should be 1
max(abs(cumsum(proby) - pzipf(y, N = N, shape = shape))) # Should be 0Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.