Existence conditions of permanental and multivariate negative binomial distributions

IF 2.1 1区数学 Q1 STATISTICS & PROBABILITY Annals of Probability Pub Date : 2017-11-01 DOI:10.1214/17-AOP1179

Nathalie Eisenbaum, F. Maunoury

引用次数: 5

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.

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永久和多元负二项分布的存在条件

永久分布的存在条件和多元负二项分布的存在性条件有着深刻的联系。本文的目的是双重的。它回答了最近关于这个主题的工作产生的几个问题，但它也回到了这个领域的根源，并修复了旧论文中关于这些分布的无限可分性条件的现有空白。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Probability 数学-统计学与概率论

CiteScore

4.60

自引率

8.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Annals of Probability publishes research papers in modern probability theory, its relations to other areas of mathematics, and its applications in the physical and biological sciences. Emphasis is on importance, interest, and originality – formal novelty and correctness are not sufficient for publication. The Annals will also publish authoritative review papers and surveys of areas in vigorous development.

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