Convergence Rates in the Strong Law of Large Numbers for Martingale Difference Sequences. (18th June 2012)
- Record Type:
- Journal Article
- Title:
- Convergence Rates in the Strong Law of Large Numbers for Martingale Difference Sequences. (18th June 2012)
- Main Title:
- Convergence Rates in the Strong Law of Large Numbers for Martingale Difference Sequences
- Authors:
- Wang, Xuejun
Hu, Shuhe
Yang, Wenzhi
Wang, Xinghui - Other Names:
- Kim Sung Guen Academic Editor.
- Abstract:
- Abstract : We study the complete convergence and complete moment convergence for martingale difference sequence. Especially, we get the Baum-Katz-type Theorem and Hsu-Robbins-type Theorem for martingale difference sequence. As a result, the Marcinkiewicz-Zygmund strong law of large numbers for martingale difference sequence is obtained. Our results generalize the corresponding ones of Stoica (2007, 2011).
- Is Part Of:
- Abstract and applied analysis. Volume 2012(2012)
- Journal:
- Abstract and applied analysis
- Issue:
- Volume 2012(2012)
- Issue Display:
- Volume 2012, Issue 2012 (2012)
- Year:
- 2012
- Volume:
- 2012
- Issue:
- 2012
- Issue Sort Value:
- 2012-2012-2012-0000
- Page Start:
- Page End:
- Publication Date:
- 2012-06-18
- Subjects:
- Mathematical analysis -- Periodicals
Mathematical analysis
Applied Mathematics
Mathematical Analysis
Periodicals
515.05 - Journal URLs:
- http://www.hindawi.com/journals/aaa ↗
http://ProjectEuclid.org/aaa ↗ - DOI:
- 10.1155/2012/572493 ↗
- Languages:
- English
- ISSNs:
- 1085-3375
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10233.xml