A note on the multivariate local limit theorem

DOI10.1016/S0167-7152(02)00125-6zbMath1016.60005MaRDI QIDQ1871276

Mindaugas Bloznelis

Publication date: 7 May 2003

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

total variationcentral limit theoremlocal limit theoreminfinite dimension

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (3)

Prohorov-type local limit theorems on abstract Wiener spaces ⋮ Classical and almost sure local limit theorems ⋮ A note on a local limit theorem for Wiener space valued random variables

Cites Work

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• Lower bound for the rate of convergence in the CLT in a Hilbert space
• Rates for the CLT via new ideal metrics
• Normal approximation - some recent advances
• A variant of an infinite-dimensional local limit theorem
• Uniform Estimates of the Rate of Convergence in the Multi-Dimensional Central Limit Theorem
• Local Limit Theorems for Functionals of Random Processes

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