On complete convergence in the law of large numbers for subsequences

DOI10.1214/aop/1176992812zbMath0582.60057OpenAlexW2029343632MaRDI QIDQ1068447

Allan Gut

Publication date: 1985

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176992812

zbMATH Keywords

complete convergencelaw of large numberssubsequence

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Riesz means and self-neglecting functions ⋮ Complete convergence for randomly indexed sums of random variables ⋮ Lower large deviations and laws of large numbers for maximal flows through a box in first passage percolation ⋮ The Baum-Katz theorem for bounded subsequences ⋮ Moderate deviations for bounded subsequences ⋮ A note on the complete convergence for arrays of rowwise independent random elements ⋮ Existence and continuity of the flow constant in first passage percolation ⋮ Complete convergence for arrays ⋮ Some complete convergence results for row sums from arrays of rowwise independent random elements in Rademacher type \(p\) Banach spaces ⋮ Complete moment convergence for sequence of identically distributed \(\varphi \)-mixing random variables ⋮ On the complete convergence of sums of negatively associated random variables ⋮ Convergence rates in the law of large numbers for arrays of Banach space valued random elements ⋮ Unnamed Item ⋮ On complete convergence for arrays of rowwise independent random elements in banach spaces ⋮ The complete convergence of subsequence for sums of independent B-valued random variables ⋮ Complete Moment Convergence for Sequences of Independent Random Elements in Banach Spaces ⋮ Complete convergence theorems for extended negatively dependent random variables

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