Strong laws of large numbers for WAPND Banach-valued random elements

DOI10.1080/03610926.2020.1786703OpenAlexW3041345878MaRDI QIDQ5081040

Mehdi Jafari, Hamid-Reza Nili-Sani, Abolghassem Bozorgnia

Publication date: 1 June 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2020.1786703

zbMATH Keywords

Borel-Cantelli lemmaseparable Banach spacerandom elementasymptoticallypairwise negatively dependentweakly asymptotically pairwise negatively dependent

Mathematics Subject Classification ID

Strong limit theorems (60F15) Probability theory on linear topological spaces (60B11)

Cites Work

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• Tail probabilities for sums of independent Banach space valued random variables
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• Strong laws of large numbers for negatively dependent random elements
• Summability methods and negatively associated random variables
• Complete convergence for weighted sums of arrays of APND random variables
• Some Concepts of Dependence
• Relationships Among Some Concepts of Bivariate Dependence
• A note on the Borel-Cantelli lemma

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