ZipfDistribution

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Zipf distribution (Zeta and HarmonicNumber normalizations)

Formen

ZipfDistribution[ρ]

ZipfDistribution[n, ρ]

Verifizierte BeispieleMean[ZipfDistribution[ρ]] → Piecewise[{{Zeta[ρ]/Zeta[1 + ρ], ρ > 1}}, Infinity]PDF[ZipfDistribution[ρ], k] → Piecewise[{{k^(-1 - ρ)/Zeta[1 + ρ], k >= 1}}, 0]CDF[ZipfDistribution[ρ], k] → Piecewise[{{HarmonicNumber[Floor[k], 1 + ρ]/Zeta[1 + ρ], k >= 1}}, 0]

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Themen

Bounded Domain Distributions - Discrete Distributions
Discrete Univariate Distributions - Power-Law Distributions
Heavy Tail Distributions - Paretian Size Distributions
New In60 Alphabetical Listing - Z

Verwandt

WaringYuleDistribution ParetoDistribution Zeta HarmonicNumber BenfordDistribution BernoulliDistribution BetaBinomialDistribution BetaPrimeDistribution BinomialDistribution DagumDistribution DiscreteUniformDistribution HypergeometricDistribution

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