Integro-Local and Local Theorems on Normal and Large Deviations of the Sums of Nonidentically Distributed Random Variables in the Triangular Array Scheme

DOI10.1137/S0040585X97984425zbMath1238.60033OpenAlexW2053594891MaRDI QIDQ3087745

Aleksandr A. Borovkov

Publication date: 16 August 2011

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

Full work available at URL: https://doi.org/10.1137/s0040585x97984425

zbMATH Keywords

large deviationsintegro-local theoremslocal theoremstriangular array schemeGnedenko's theoremStone-Shepp's theoremsums of nonidentically distributed random variables

Mathematics Subject Classification ID

Large deviations (60F10)

Related Items (6)

Large deviations of weighted sums of independent identically distributed random variables with functionally-defined weights ⋮ Moderate deviation principles for the trajectories of inhomogeneous random walks ⋮ Generalization and Refinement of the Integro-Local Stone Theorem for Sums of Random Vectors ⋮ Integro-Local CLT for Sums of Independent Nonlattice Random Vectors ⋮ A refined version of the integro-local Stone theorem ⋮ On Integro-Local CLT for Sums of Independent Random Vectors

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