Strong law of large numbers for multiple sums of independent, identically distributed random variables

DOI10.1007/BF01157022zbMath0659.60053OpenAlexW2040602487MaRDI QIDQ1112440

O. I. Klesov

Publication date: 1985

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157022

zbMATH Keywords

convergence ratesstrong law of large numbersmultiple sums of random variables

Mathematics Subject Classification ID

Random fields (60G60) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (5)

The asymptotic behavior over a small parameter of a series of large deviation probabilities weighted with the Dirichlet divisors function ⋮ On almost sure limiting behavior of weighted sums of random fields ⋮ Cesàro summation for random fields ⋮ An approach to complete convergence theorems for dependent random fields via application of Fuk-Nagaev inequality ⋮ Weighted strong law of large numbers for random variables indexed by a sector

Cites Work

• Sums of independent random variables on partially ordered sets
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• Convergence Rates in the Law of Large Numbers
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