A strengthened central limit theorem for smooth densities
type: Item
instance of: scholarly article
title: A strengthened central limit theorem for smooth densities
zbMATH Open document ID: 0822.60018
author: P.-L. Lions
author: G. Toscani
published in: Journal of Functional Analysis
publication date: 1995-10-05T00:00:00Z
review text: The paper presents various local limit theorems for i.i.d. random variables with zero mean and positive (but finite) variance. The authors employ two different setups. One is based on a generalization of Fisher's information and the other uses Fourier transformation. The results give convergence in various norms depending on the properties of the theoretical density.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 764022
zbMATH Keywords: local limit theorem
zbMATH Keywords: Fisher's information
zbMATH Keywords: Fourier transformation
zbMATH Keywords: Sobolev spaces
reviewed by: Petr Lachout
MaRDI profile type: Publication
full work available at URL: jfan.1995.1046
OpenAlex ID: W2079932125
DOI: 10.1006/JFAN.1995.1046
description: scientific article; zbMATH DE number 764022