ZipfDistribution

ZipfDistribution[ρ] represents a zeta distribution with parameter ρ.

ZipfDistribution[n, ρ] represents a Zipf distribution with range n.

Examples

Sample from Zipf distribution:

RandomVariate[ZipfDistribution[2], 10]
(* {1, 1, 2, 1, 1, 3, 1, 1, 1, 2} *)

Probability mass function:

PDF[ZipfDistribution[100, 1], k]

Please visit the official Wolfram Language Reference for more details.