Maximal inequalities for partial sums of independent random vectors with multi dimensional time parameters

DOI10.1080/03610929108830747zbMath0800.60011OpenAlexW2048749127MaRDI QIDQ3135554

Nasrollah Etemadi

Publication date: 11 October 1993

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

Full work available at URL: https://doi.org/10.1080/03610929108830747

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50)

Related Items (4)

On almost certain convergence of double series of random elements and the rate of convergence of tail series ⋮ Strong law of large numbers for 2-exchangeable random variables ⋮ On the laws of large numbers for double arrays of independent random elements in Banach spaces ⋮ Strong and Weak Laws of Large Numbers for Double Sums of Independent Random Elements in Rademacher TypepBanach Spaces

Cites Work

• Sums of independent random variables on partially ordered sets
• Laws of iterated logarithm of multiparameter Wiener processes
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• On the maximal inequalities for the average of pairwise i.i.d. random variables
• Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters
• Unnamed Item

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