On the relationship between the Baum-Katz-Spitzer complete convergence theorem and the law of the iterated logarithm

DOI10.1007/s10114-005-0908-7zbMath1120.60026OpenAlexW2092806752MaRDI QIDQ2641523

Andrew Rosalsky, Andrei I. Volodin, De Li Li

Publication date: 20 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0908-7

zbMATH Keywords

law of the iterated logarithmalmost sure convergencebaum-katz-spitzer complete convergence theorempartial sums of i.i.d. Banach space-valued random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15) Large deviations (60F10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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Sufficient and necessary conditions of complete convergence for weighted sums of PNQD random variables, On rates of convergence for sample average approximations in the almost sure sense and in mean, Further study of complete convergence for weighted sums of PNQD random variables

Cites Work

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