On Strong Convergence for Weighted Sums of a Class of Random Variables
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let {Xn,n≥1} be a sequence of random variables satisfying the Rosenthal-type maximal inequality.
Complete convergence is studied for linear statistics that are weighted sums of identically distributed random variables under a suitable moment condition.
As an application, the Marcinkiewicz-Zygmund-type strong law of large numbers is obtained.
Our result generalizes the corresponding one of Zhou et al.
(2011) and improves the corresponding one of Wang et al.
(2011, 2012).
American Psychological Association (APA)
Shen, Aiting. 2013. On Strong Convergence for Weighted Sums of a Class of Random Variables. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-455289
Modern Language Association (MLA)
Shen, Aiting. On Strong Convergence for Weighted Sums of a Class of Random Variables. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-455289
American Medical Association (AMA)
Shen, Aiting. On Strong Convergence for Weighted Sums of a Class of Random Variables. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-455289
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455289
