A local limit theorem for sums of independent random vectors

DOI10.1214/16-EJP4232zbMath1345.60014MaRDI QIDQ303550

Dmitry Dolgopyat

Publication date: 22 August 2016

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ejp/1465991837

zbMATH Keywords

characteristic functionlocal limit theoremconcentration inequalityindependent random vectorslattice distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (6)

Limit theorems for linear random fields with innovations in the domain of attraction of a stable law ⋮ Edgeworth expansions for independent bounded integer valued random variables ⋮ On the local limit theorems for psi-mixing Markov chains ⋮ Classical and almost sure local limit theorems ⋮ On the local limit theorems for lower psi-mixing Markov chains ⋮ A local limit theorem for linear random fields

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