Integro-Local CLT for Sums of Independent Nonlattice Random Vectors

DOI10.1137/S0040585X97T989374zbMath1478.60091MaRDI QIDQ5380529

Leonid V. Rozovsky

Publication date: 5 June 2019

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionscentral limit theoremindependent random vectorsintegro-local theoremsvolume of a Borel set

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (1)

On Integro-Local CLT for Sums of Independent Random Vectors

Cites Work

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• A refined version of the integro-local Stone theorem
• Integro-local theorems for sums of independent random vectors in the series scheme
• Integro-Local and Local Theorems on Normal and Large Deviations of the Sums of Nonidentically Distributed Random Variables in the Triangular Array Scheme
• Generalization and Refinement of the Integro-Local Stone Theorem for Sums of Random Vectors
• A Local Limit Theorem for Nonlattice Multi-Dimensional Distribution Functions

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