On the normal approximation of a sum of a random number of independent random variables
type: Item
instance of: scholarly article
title: On the normal approximation of a sum of a random number of independent random variables
zbMATH Open document ID: 1260.60042
author: Jonas Kazys Sunklodas
published in: Lithuanian Mathematical Journal
publication date: 2013-02-21T00:00:00Z
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 6138165
zbMATH Keywords: central limit theorem
zbMATH Keywords: random sum
zbMATH Keywords: normal approximation
zbMATH Keywords: Lipschitz condition
zbMATH Keywords: Stein's method
MaRDI profile type: Publication
full work available at URL: s10986-012-9185-1
OpenAlex ID: W2063748932
cites work: Multiple comparisons and sums of dissociated random variables
cites work: The Esseen inequality for sums of a random number of differently distributed random variables
cites work: On approximations to generalized Poisson distributions
cites work: Q3533637
cites work: Q3551231
cites work: Normal Approximation by Stein’s Method
cites work: Some approximation methods for the distribution of random sums
cites work: Q3665962
cites work: Some remarks on the accuracy of normal approximation to distributions of random sums
cites work: Q4217664
cites work: Q4693044
cites work: On Berry-Esseen results for the compound Poisson distribution
cites work: The asymptotic distribution of the sum of a random number of random variables
cites work: Q4146493
cites work: Q3647847
cites work: Q5671943
cites work: Estimate of the bounded Lipschitz metric for sums of weakly dependent random variables
cites work: Some estimates of normal approximation for the distribution of a sum of a random number of independent random variables
DOI: 10.1007/S10986-012-9185-1
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description: scientific article; zbMATH DE number 6138165