Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces (Q712532)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces |
scientific article; zbMATH DE number 6094472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces |
scientific article; zbMATH DE number 6094472 |
Statements
Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces (English)
0 references
17 October 2012
0 references
The authors obtain the rate of complete convergence for maximums of moving average suns of martingale difference fields in \(p\)-uniformly Banach spaces, and extend Marcinkiewicz-Zygmund strong laws. The results extend the results of \textit{A. Gut} and \textit{U. Stadtmüller} [ibid. 79, No. 8, 1016--1020 (2009; Zbl 1162.60314)], \textit{Nguyen Van Quang} and \textit{Nguyen Van Huan} [ibid. 79, No. 18, 1891--1899 (2009; Zbl 1173.60314)], \textit{Le Van Dung} and \textit{Nguyen Duy Tien} [ibid. 80, No. 9--10, 756--763 (2010; Zbl 1195.60009)] and others.
0 references
complete convergence
0 references
Marcinkiewicz-Zygmund strong laws of larger numbers
0 references
\(p\)-uniformly smooth Banach spaces
0 references
Martingale difference fields
0 references
