On convergence of moving average series of martingale differences fields taking values in Banach spaces

DOI10.1080/03610926.2017.1397172OpenAlexW2770818768MaRDI QIDQ5076971

Dang Hung Thang, Ta Cong Son, Le Van Dung

Publication date: 17 May 2022

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

Full work available at URL: https://doi.org/10.1080/03610926.2017.1397172

zbMATH Keywords

strong law of large numbers\(p\)-uniformly smooth Banach spacesconvergent of series of random fieldtail series of random fieldfield of random variables

Mathematics Subject Classification ID

Random fields (60G60) Martingales with discrete parameter (60G42) Statistics (62-XX) Strong limit theorems (60F15) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

On the almost sure convergence for sums of negatively superadditive dependent random vectors in Hilbert spaces and its application

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Brunk-Prokhorov strong law of large numbers for fields of martingale differences taking values in a Banach space
• Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces
• Rate of convergence of series of random variables
• Martingales with values in uniformly convex spaces
• ON THE CONVERGENCE OF SERIES OF MARTINGALE DIFFERENCES WITH MULTIDIMENSIONAL INDICES
• The Malliavin Calculus and Related Topics
• On convergence of series of random variables with applications to martingale convergence and to convergence of series with orthogonal summands
• The Homogeneous Chaos

This page was built for publication: On convergence of moving average series of martingale differences fields taking values in Banach spaces