Calculation of density for the multivariate Poisson distribution
type: Item
instance of: scholarly article
title: Calculation of density for the multivariate Poisson distribution
zbMATH Open document ID: 0637.60022
author: Kazutomo Kawamura
published in: Kodai Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: It is known that a density function of Poisson distribution p(k,l) in the bivariate case satisfies two main recurrence relations (r.r.). Conversely, if we need to calculate the density using the r.r.'s, not using the direct calculation, one of the relations would be meaningless except in the usage of its reduced relations. It is also known that in the trivariate case, the density function satisfies three main r.r.'s. But to calculate the density from r.r.'s we need one of the relations and their reduced relations. The author has obtained the r.r.'s for the multivariate case and shown that only one of the n main r.r.'s and their reduced relations are used to calculate the density function.
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 62E10
zbMATH DE Number: 4038898
zbMATH Keywords: density of multivariate Poisson distributions
zbMATH Keywords: recurrence relations
reviewed by: V. Thangaraj
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138037418
OpenAlex ID: W1977741899
cites work: Q4043971
cites work: The structure of bivariate Poisson distribution
cites work: The structure of trivariate Poisson distribution
cites work: The structure of multivariate Poisson distribution
cites work: A note on the recurrent relations for the bivariate Poisson distribution
cites work: Necessary and sufficient conditions for a Poisson approximation (trivariate case)
cites work: Poisson approximation for sums of independent bivariate Bernoulli vectors
DOI: 10.2996/KMJ/1138037418
description: scientific article; zbMATH DE number 4038898