Marcinkiewicz strong laws of large numbers and convergence rates for arrays of independent random elements in banach spaces

DOI10.1080/07362999208809265zbMath0749.60005OpenAlexW2049210068MaRDI QIDQ4005832

Kuo-Liang Su, Robert Lee Taylor

Publication date: 27 September 1992

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362999208809265

zbMATH Keywords

rate of convergencestrong law of large numberstail probabilities

Mathematics Subject Classification ID

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

Related Items (1)

\(U\)-statistics on a lattice of i. i. d. random variables

Cites Work

• Stochastic convergence of weighted sums of random elements in linear spaces
• Sums of independent random variables on partially ordered sets
• The law of large numbers and the central limit theorem in Banach spaces
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• Strong laws of large numbers for arrays of row-wise independent random variables
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• The Kronecker lemmas for multiple series and some applications

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