Strong laws for weighted sums of i.i.d. random variables

DOI10.1090/S1079-6762-06-00157-0zbMath1112.60022OpenAlexW2795009500MaRDI QIDQ3432105

Guang-Hui Cai

Publication date: 13 April 2007

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1079-6762-06-00157-0

zbMATH Keywords

Marcinkiewicz-Zygmund strong lawsalmost sure convergence

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (2)

Convergence of Baum-Katz series for sums whose terms are elements of a linear \(m\)th order autoregressive sequence ⋮ On the convergence of the Baum-Katz series for elements of a linear autoregression

Cites Work

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• A strong law for weighted sums of i.i.d. random variables
• On the strong convergence of a weighted sum
• Marcinkiewicz strong laws for linear statistics
• Almost sure convergence theorems of weighted sums of random variables
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins
• Strong laws for weighted sums of i. i. d. random variables

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