The Baum-Katz theorem for dependent sequences

DOI10.1007/s10474-016-0679-xzbMath1399.60044OpenAlexW2565930269MaRDI QIDQ524157

N. V. Huan

Publication date: 25 April 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0679-x

zbMATH Keywords

Baum-Katz theoremnegatively associated random variableRademacher type \(p\) Banach space

Mathematics Subject Classification ID

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

Related Items (4)

Convergence of Baum-Katz series for sums whose terms are elements of a linear \(m\)th order autoregressive sequence ⋮ On the order of approximation in limit theorems for negative-binomial sums of strictly stationary \(m\)-dependent random variables ⋮ On the convergence of the Baum-Katz series for elements of a linear autoregression ⋮ On the rates of convergence in weak limit theorems for geometric random sums of the strictly stationary sequence of \(m\)-dependent random variables

Cites Work

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• Negative association of random variables, with applications
• Convergence Rates in the Law of Large Numbers
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins
• Remark on my Paper "On a Theorem of Hsu and Robbins"

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