Local limit theorems for densities in Orlicz spaces

DOI10.1007/s10958-019-04466-9zbMath1432.60014OpenAlexW2969148119MaRDI QIDQ2278303

Sergey G. Bobkov

Publication date: 4 December 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04466-9

zbMATH Keywords

Orlicz spacesentropic central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Classical and almost sure local limit theorems

Cites Work

• Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem
• Entropy and the central limit theorem
• Normal Approximation and Asymptotic Expansions
• Refinements of Pinsker's inequality
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