![](/images/graphics-bg.png)
The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application
Joint Authors
Wang, Xinghui
Li, Xiaoqin
Hu, Shuhe
Yang, Wenzhi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We investigate the complete moment convergence of double-indexed weighted sums of martingale differences.
Then it is easy to obtain the Marcinkiewicz-Zygmund-type strong law of large numbers of double-indexed weighted sums of martingale differences.
Moreover, the convergence of double-indexed weighted sums of martingale differences is presented in mean square.
On the other hand, we give the application to study the convergence of the state observers of linear-time-invariant systems and present the convergence with probability one and in mean square.
American Psychological Association (APA)
Yang, Wenzhi& Wang, Xinghui& Li, Xiaoqin& Hu, Shuhe. 2014. The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1034073
Modern Language Association (MLA)
Yang, Wenzhi…[et al.]. The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1034073
American Medical Association (AMA)
Yang, Wenzhi& Wang, Xinghui& Li, Xiaoqin& Hu, Shuhe. The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1034073
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034073