Non-uniform bounds in local limit theorems in case of fractional moments. I

DOI10.3103/S106653071103001XzbMath1239.60016arXiv1104.3759MaRDI QIDQ647753

Sergey G. Bobkov, Gennadiy P. Chistyakov, Friedrich Götze

Publication date: 24 November 2011

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3759

zbMATH Keywords

fractional derivativescentral limit theoremEdgeworth expansion

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10)

Related Items (6)

Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem ⋮ Berry-Esseen estimates for regenerative processes under weak moment assumptions ⋮ The entropic Erdős-Kac limit theorem ⋮ Rényi divergence and the central limit theorem ⋮ Fisher information and the central limit theorem ⋮ Non-uniform bounds in local limit theorems in case of fractional moments. II

Cites Work

• On Convergence in the Mean for Densities
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