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Mathematica > Discrete Statistical Distributions >

Built-in Mathematica Symbol

ZipfDistribution

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represents a Zipf distribution with parameter

The probability for value x in a Zipf distribution is proportional to if x is a positive integer, and is zero otherwise. »

ZipfDistribution can be used with such functions as Mean, CDF and RandomInteger. »

Mean and variance of a Zipf distribution:

Probability density function: