Some optimal bounds in the central limit theorem using zero biasing
type: Item
instance of: scholarly article
title: Some optimal bounds in the central limit theorem using zero biasing
zbMATH Open document ID: 1262.60026
author: I. S. Tyurin
published in: Statistics \& Probability Letters
publication date: 2012-05-18T00:00:00Z
review text: A wide class of probability metrics is concerned. Optimal estimates for the proximity between a probability distribution and its zero bias transformation are derived. The reduction technique of Hoeffding is used. A theorem concerning the bounds of convergence in the central limit theorem is formulated and proved when the moments of order \(2< s\leq 3\) are finite, using the ideal metrics introduced by Zolotarev.
reviewed by: Pavel Froněk
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 6036272
zbMATH Keywords: central limit theorem (CLT)
zbMATH Keywords: convergence rate
zbMATH Keywords: zero biasing
MaRDI profile type: Publication
full work available at URL: j.spl.2011.11.010
OpenAlex ID: W2153365450
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DOI: 10.1016/J.SPL.2011.11.010
description: scientific article; zbMATH DE number 6036272