Strong laws for blockwise martingale difference arrays in Banach spaces

DOI10.1134/S1995080210040037zbMath1255.60073OpenAlexW2156705131MaRDI QIDQ694370

Nguyen Van Huan, Nguyen Van Quang, Andrei I. Volodin

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080210040037

zbMATH Keywords

strong law of large numbersstochastically dominated\(p\)-smoothable Banach spaceblockwise adapted arrayblockwise martingale difference arrayblockwise strong martingale difference array

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Probabilistic methods in Banach space theory (46B09) Applications of functional analysis in probability theory and statistics (46N30) Martingales and classical analysis (60G46)

Related Items

Inequalities for sums of adapted random fields in Banach spaces and their application to strong law of large numbers, On the \(L^1\)-convergence for double arrays of blockwise \(M\)-pairwise negatively dependent random variables, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the strong law of large numbers and \(\mathcal L_p\)-convergence for double arrays of random elements in \(p\)-uniformly smooth Banach spaces
• Strong laws for blockwise \(\mathcal M\)-dependent random fields
• The law of large numbers and the central limit theorem in Banach spaces
• On the strong law of large numbers for \(d\)-dimensional arrays of random variables
• Uniform convexity in factor and conjugate spaces
• On the Hàjek-Rènyi inequality
• Strong Limit Theorems for Blockwise m-Dependent and Blockwise Quasiorthogonal Sequences of Random Variables
• MARCINKIEWICZ-ZYGMUND LAW OF LARGE NUMBERS FOR BLOCKWISE ADAPTED SEQUENCES
• A new characterization of \(p\)-smoothable spaces