Poisson approximations in selected metrics by coupling and semigroup methods with applications
type: Item
instance of: scholarly article
title: Poisson approximations in selected metrics by coupling and semigroup methods with applications
zbMATH Open document ID: 0656.60035
DOI: 10.1016/0378-3758(88)90080-8
author: P. Deheuvels
author: Dietmar Pfeifer
author: Alan F. Karr
author: Robert J. Serfling
published in: Journal of Statistical Planning and Inference
publication date: 1988-01-01T00:00:00Z
review text: Bounds are derived for Wasserstein type distances between the sum of independent non-identically distributed binomial random variables and approximating Poisson distributions. The bounds based on coupling arguments and on semigroup-techniques are sharp and of order O(\(\sum p^ 2_ i)\) if max \(p_ i\to 0\) and \(\sum p_ i\) is bounded.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 20M30
zbMATH DE Number: 4072028
zbMATH Keywords: Poisson approximation
zbMATH Keywords: Wasserstein metrics
zbMATH Keywords: minimal metrics
zbMATH Keywords: coupling arguments
zbMATH Keywords: semigroup-techniques
MaRDI profile type: Publication
full work available at URL: 0378-3758(88)90080-8
OpenAlex ID: W2086165979
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description: scientific article; zbMATH DE number 4072028