Strong laws of large numbers for arrays of orthogonal random elements in Banach spaces

DOI10.1007/BF01874465zbMath0806.60002OpenAlexW2002549433MaRDI QIDQ1333059

Ferenc Móricz, Kuo-Liang Su, Robert Lee Taylor

Publication date: 13 September 1994

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

Full work available at URL: https://doi.org/10.1007/bf01874465

zbMATH Keywords

strong laws of large numbersJames orthogonalityorthogonal Banach space-valued random elements

Mathematics Subject Classification ID

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

Related Items

On the strong limit theorems for double arrays of blockwise \(M\)-dependent random variables ⋮ Best possible sufficient conditions for strong law of large numbers for multi-indexed orthogonal random elements ⋮ Some strong laws of large numbers for blockwise martingale difference sequences in martingale type \(p\) Banach spaces ⋮ On Almost Sure and Mean Convergence of Normed Double Sums of Banach Space Valued Random Elements ⋮ On complete convergence in mean for double sums of independent random elements in Banach spaces ⋮ Unnamed Item ⋮ Almost sure convergence for double arrays of block-wiseM-dependent random elements in Banach spaces

Cites Work

• Stochastic convergence of weighted sums of random elements in linear spaces
• Strong limit theorems for quasi-orthogonal random fields
• SLLN and Convergence Rates for Nearly Orthogonal Sequences of Random Variables
• Strong Laws of Large Numbers for Arrays of Orthogonal Random Variables
• Moment inequalities and the strong laws of large numbers