Existence conditions of permanental and multivariate negative binomial distributions - Archive ouverte HAL
Article Dans Une Revue Annals of Probability Année : 2017

Existence conditions of permanental and multivariate negative binomial distributions

Résumé

Existence conditions of permanental distributions are deeply connected to existence conditions of multivariate negative binomial distributions. The aim of this paper is double. It answers several questions generated by recent works on this subject, but it also goes back to the roots of this field and fixes existing gaps in older papers concerning conditions of infinite divisibility for these distributions.
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Dates et versions

hal-01877855 , version 1 (20-09-2018)

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Nathalie Eisenbaum, Franck Maunoury. Existence conditions of permanental and multivariate negative binomial distributions. Annals of Probability, 2017, 45 (6B), pp.4786 - 4820. ⟨10.1214/17-AOP1179⟩. ⟨hal-01877855⟩
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