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1989•BiometrikaRequires access

The Multivariate Poisson-Log Normal Distribution

Jonathan C. Aitchison, Chih-Hsiang Ho

Open publisher page 23 citations

Abstract

The statistical analysis of multivariate counts has proved difficult because of the lack of a parametric class of distributions supporting a rich enough correlation structure. With increasing availability of powerful computing facilities an obvious candidate for consideration is now the multivariate log normal mixture of independent Poisson distributions, the multivariate Poisson-log normal distribution. The properties of this discrete multivariate distribution are studied and its uses in a variety of applications to multivariate count data are illustrated.

About this research paper

What this paper is about

The statistical analysis of multivariate counts has proved difficult because of the lack of a parametric class of distributions supporting a rich enough correlation structure. With increasing availability of powerful computing facilities an obvious candidate for consideration is now the multivariate log normal mixture of independent Poisson distributions, the multivariate Poisson-log normal distribution. The properties of this discrete multivariate distribution are studied and its uses in a variety of applications to multivariate count data are illustrated.

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OpenAlex reports 23 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The statistical analysis of multivariate counts has proved difficult because of the lack of a parametric class of distributions supporting a rich enough correlation structure. With increasing availability of powerful computing facilities an obvious candidate for consideration is now the multivariate log normal mixture of independent Poisson distributions, the multivariate Poisson-log normal distribution. The properties of this discrete multivariate distribution are studied and its uses in a variety of applications to multivariate count data are illustrated.

Key concepts: Multivariate statistics, Mathematics, Poisson distribution, Multivariate normal distribution, Multivariate stable distribution, Normal-Wishart distribution, Multivariate analysis, Statistics

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