The Strong Law of Large Numbers for Sums of Independent Random Vectors with Operator Normalizations and Null Convergence of Gaussian Sequences

DOI10.1137/1132034zbMath0677.60033OpenAlexW2037756065MaRDI QIDQ3833340

V. V. Buldygin, S. A. Solntsev

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1137/1132034

zbMATH Keywords

strong law of large numbersmoment conditionsGaussian m-Markov sequencesoperator normalizationssequence of normalizing operators

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Convergence of probability measures (60B10)

Related Items (2)

Almost Sure Convergence of the Series of Gaussian Markov Sequences ⋮ The Prokhorov-Loève law of large numbers on countable subgroups of simply connected step 2-nilpotent Lie groups

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