A new semigroup technique in Poisson approximation
type: Item
instance of: scholarly article
title: A new semigroup technique in Poisson approximation
zbMATH Open document ID: 0674.60026
DOI: 10.1007/BF02573230
author: P. Deheuvels
author: Dietmar Pfeifer
author: Madan L. Puri
published in: Semigroup Forum
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134953
review text: The authors present a new semigroup technique for Poisson approximation of sums of independent Bernoulli random variables. The new method gives a unified approach to derive approximations with respect to various probability metrics. The method is applied to extend their earlier work [Ann. Probab. 14, 663-676 (1986; Zbl 0597.60019), Semigroup Forum 34, 203-224 (1986; Zbl 0606.60034)].
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 20M30
zbMATH DE Number: 4104090
zbMATH Keywords: semigroup technique for Poisson approximation
zbMATH Keywords: independent Bernoulli random variables
zbMATH Keywords: probability metrics
reviewed by: B. L. S. Prakasa Rao
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4104090