Convergence rates in the law of large numbers for arrays of Banach space valued random elements

DOI10.1016/j.spl.2004.12.003zbMath1079.60013OpenAlexW2058295866MaRDI QIDQ1776352

Tibor Tómács

Publication date: 12 May 2005

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2004.12.003

zbMATH Keywords

complete convergence

Mathematics Subject Classification ID

Convergence of probability measures (60B10) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

Consistency of the elastic net under a finite second moment assumption on the noise

Cites Work

• Unnamed Item
• Unnamed Item
• On complete convergence in the law of large numbers for subsequences
• Complete convergence for arrays
• Rates in the complete convergence of bootstrap means.
• Strong laws of large numbers for arrays of row-wise independent random variables
• On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes
• A Combinatorial Lemma and Its Application to Probability Theory
• Tail probabilities for sums of independent Banach space valued random variables
• On complete convergence for arrays of rowwise independent random elements in banach spaces
• Convergence Rates in the Law of Large Numbers
• Sums of independent Banach space valued random variables
• 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"