Zipf {VGAM}R Documentation

The Zipf Distribution

Description

Density, and cumulative distribution function for the Zipf distribution.

Usage

dzipf(x, N, s)
pzipf(q, N, s)

Arguments

x, q vector of quantiles.
N, s the number of elements, and the exponent characterizing the distribution. See zipf for more details.

Details

This is a finite version of the zeta distribution. See zipf for more details.

Value

dzipf gives the density, and pzipf gives the cumulative distribution function.

Author(s)

T. W. Yee

See Also

zipf.

Examples

## Not run: 
N = 10; s=0.5; y = 1:N
proby = dzipf(y, N=N, s=s)
plot(y, proby, type="h", col="blue", ylab="P[Y=y]", ylim=c(0,0.2),
     main=paste("Zipf(N=",N,", s=",s,")", sep=""))
sum(proby)  # Should be 1
max(abs(cumsum(proby) - pzipf(y, N=N, s=s)))  # Should be 0
## End(Not run)

[Package VGAM version 0.7-7 Index]