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- Zeta_distribution abstract "In probability theory and statistics, the zeta distribution is a discrete probability distribution. If X is a zeta-distributed random variable with parameter s, then the probability that X takes the integer value k is given by the probability mass functionwhere ζ(s) is the Riemann zeta function (which is undefined for s = 1).The multiplicities of distinct prime factors of X are independent random variables.The Riemann zeta function being the sum of all term for integer k, it appears thus as the normalization of the Zipf distribution. Indeed the terms "Zipf distribution" and the "zeta distribution" are often used interchangeably. But note that while the Zeta distribution is a probability distribution by itself, it is not associated to the Zipf's law with same exponent. See also Yule–Simon distribution".
- Zeta_distribution thumbnail Zeta_distribution_PMF.png?width=300.
- Zeta_distribution wikiPageExternalLink download?doi=10.1.1.66.3284&rep=rep1&type=pdf.
- Zeta_distribution wikiPageID "115742".
- Zeta_distribution wikiPageRevisionID "597270101".
- Zeta_distribution cdfImage "325".
- Zeta_distribution hasPhotoCollection Zeta_distribution.
- Zeta_distribution id "ZipfDistribution".
- Zeta_distribution name "Zipf Distribution".
- Zeta_distribution name "zeta".
- Zeta_distribution pdfImage "(Plot of the Zeta PMF on a log-log scale. )".
- Zeta_distribution pdfImage "325".
- Zeta_distribution type "mass".
- Zeta_distribution subject Category:Computational_linguistics.
- Zeta_distribution subject Category:Discrete_distributions.
- Zeta_distribution subject Category:Probability_distributions.
- Zeta_distribution subject Category:Probability_distributions_with_non-finite_variance.
- Zeta_distribution type Abstraction100002137.
- Zeta_distribution type Arrangement105726596.
- Zeta_distribution type Cognition100023271.
- Zeta_distribution type DiscreteDistributions.
- Zeta_distribution type Distribution105729036.
- Zeta_distribution type PsychologicalFeature100023100.
- Zeta_distribution type Structure105726345.
- Zeta_distribution comment "In probability theory and statistics, the zeta distribution is a discrete probability distribution.".
- Zeta_distribution label "Distribución zeta".
- Zeta_distribution label "Loi zêta".
- Zeta_distribution label "Rozkład dzeta".
- Zeta_distribution label "Zeta distribution".
- Zeta_distribution label "Zeta-Verteilung".
- Zeta_distribution label "Zèta-verdeling".
- Zeta_distribution sameAs Zeta-Verteilung.
- Zeta_distribution sameAs Distribución_zeta.
- Zeta_distribution sameAs Loi_zêta.
- Zeta_distribution sameAs Zèta-verdeling.
- Zeta_distribution sameAs Rozkład_dzeta.
- Zeta_distribution sameAs m.0tmbm.
- Zeta_distribution sameAs Q196825.
- Zeta_distribution sameAs Q196825.
- Zeta_distribution sameAs Zeta_distribution.
- Zeta_distribution wasDerivedFrom Zeta_distribution?oldid=597270101.
- Zeta_distribution depiction Zeta_distribution_PMF.png.
- Zeta_distribution isPrimaryTopicOf Zeta_distribution.