Existence conditions of permanental and multivariate negative binomial distributions

Authors
Eisenbaum, Nathalie Maunoury, Franck
Citation
Eisenbaum, Nathalie et Maunoury, Franck, Existence conditions of permanental and multivariate negative binomial distributions, Annals of probability (Online) , 45(6B), 2017, pp. 4786-4820
Journal title
Annals of probability (Online) → ACNP
ISSN journal
2168894X
Volume
45
Issue
6B
Year of publication
2017
Pages
4786 - 4820
Database
ACNP
SICI code
Abstract
Existence conditions of permanental distributions are deeply connected to existence conditions of multivariate negative binomial distributions. The aim of this paper is twofold. 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.