On generalized binomial and multinomial distributions and their relation to generalized Poisson distributions
type: Item
instance of: scholarly article
title: On generalized binomial and multinomial distributions and their relation to generalized Poisson distributions
zbMATH Open document ID: 0614.62012
DOI: 10.1007/BF02482512
author: John Panaretos
author: Evdokia Xekalaki
published in: Annals of the Institute of Statistical Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Let \(n_ i\), \(i=1,2,...,r\) be positive integers and \(\underset \tilde{} X=(X_ 1,...,X_{n_ 1+...+n_ r})\) be a random vector with nonnegative integer-valued components. Define \[ Y_ j=\sum^{n_ j}_{i=1}iX_{n_ 1+...+n_{j-1}+i},\quad j=1,2,...,r. \] This paper studies essentially certain elementary properties of the random vector \((Y_ 1,...,Y_ r)\) in the case when the distribution of \(\underset \tilde{} X\) is multinomial.
Mathematics Subject Classification ID: 62E10
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 3994730
zbMATH Keywords: generalized Poisson
zbMATH Keywords: cluster binomial
zbMATH Keywords: cluster multinomial
zbMATH Keywords: multinomial distribution
zbMATH Keywords: binomial distribution
zbMATH Keywords: compound Poisson distribution
zbMATH Keywords: characterization
zbMATH Keywords: elementary properties
reviewed by: Damodar Shanbhag
MaRDI profile type: Publication
cites work: On discrete distributions of order k
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cites work: Identifiability of compound poisson distributions
full work available at URL: https://doi.org/10.1007/bf02482512
OpenAlex ID: W3122242998
description: scientific article; zbMATH DE number 3994730