Poisson approximation for random sums of Bernoulli random variables
type: Item
instance of: scholarly article
title: Poisson approximation for random sums of Bernoulli random variables
zbMATH Open document ID: 0728.60051
DOI: 10.1016/0167-7152(91)90135-E
author: Nikos Yannaros
published in: Statistics \& Probability Letters
publication date: 1991-01-01T00:00:00Z
review text: Bounds for the total variation distance between the distribution of the sum of a random number of Bernoulli summands and an appropriate Poisson distribution are given. Applications to limit theorems with rates of convergence for marked and thinned point processes and generalizations of the results obtained are also discussed.
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60G55
zbMATH DE Number: 4203382
zbMATH Keywords: total variation distance between the distribution
zbMATH Keywords: random number of Bernoulli summands
zbMATH Keywords: rates of convergence
zbMATH Keywords: point processes
reviewed by: Marius Iosifescu
MaRDI profile type: Publication
cites work: On the rate of Poisson convergence
cites work: The Poisson approximation for dependent events
cites work: Q4856610
cites work: Q5528196
cites work: A note on the upper bound for the distance in total variation between the binomal and the Poisson distribution
cites work: A general Poisson approximation theorem
description: scientific article; zbMATH DE number 4203382