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

DOI10.3103/S1066530711040016zbMath1307.60010OpenAlexW4252149216MaRDI QIDQ2261905

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

Publication date: 13 March 2015

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

Full work available at URL: https://doi.org/10.3103/s1066530711040016

zbMATH Keywords

fractional derivativescentral limit theoremEdgeworth expansion

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Fractional derivatives and integrals (26A33)

Related Items (3)

Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem ⋮ The entropic Erdős-Kac limit theorem ⋮ Fisher information and the central limit theorem

Cites Work

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• Non-uniform bounds in local limit theorems in case of fractional moments. I
• On Convergence in the Mean for Densities

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