Zipf {VGAM} | R Documentation

## The Zipf Distribution

### Description

Density, and cumulative distribution function for the Zipf distribution.

### Usage

    dzipf(x, N, s, log = FALSE)
    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.
`log` | Logical. If `log=TRUE` then the logarithm of the density is returned.

### 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 0.7-9 Index]