On sum of 0-1 random variables, II. Multivariate case
type: Item
instance of: scholarly article
title: On sum of 0-1 random variables, II. Multivariate case
zbMATH Open document ID: 0658.60031
DOI: 10.1007/BF02491470
author: Kei Takeuchi
author: Akimichi Takemura
published in: Annals of the Institute of Statistical Mathematics
publication date: 1987-01-01T00:00:00Z
review text: This article deals with the exact distribution of the sum of 0-1 random variables. The general multivariate case is considered here which is a generalization of the detailed discussion of the univariate case in part I, ibid., 85-102 (1987; Zbl 0619.60015). Independence of the variables is not assumed but some invariance conditions and exchangeability are assumed. Approximations to binomial and Poisson as well as asymptotic normality are also discussed. The technique used is to go through the moments, moment generating and probability generating functions.
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 62E15
zbMATH DE Number: 4076173
zbMATH Keywords: multivariate 0-1 random variables
zbMATH Keywords: invariance conditions
zbMATH Keywords: exchangeability
zbMATH Keywords: moment generating and probability generating functions
reviewed by: Arakaparampil M. Mathai
MaRDI profile type: Publication
cites work: Q4162318
cites work: The Structure of Bivariate Distributions
cites work: Q5629057
cites work: On sum of 0-1 random variables. I. Univariate case
full work available at URL: https://doi.org/10.1007/bf02491470
OpenAlex ID: W4248109964
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description: scientific article; zbMATH DE number 4076173