Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of PNQD Random Variables
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-10
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The complete convergence for pairwise negative quadrant dependent (PNQD) random variables is studied.
So far there has not been the general moment inequality for PNQD sequence, and therefore the study of the limit theory for PNQD sequence is very difficult and challenging.
We establish a collection that contains relationship to overcome the difficulties that there is no general moment inequality.
Sufficient and necessary conditions of complete convergence for weighted sums of PNQD random variables are obtained.
Our results generalize and improve those on complete convergence theorems previously obtained by Baum and Katz (1965) and Wu (2002).
American Psychological Association (APA)
Wu, Qunying. 2012. Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of PNQD Random Variables. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-992950
Modern Language Association (MLA)
Wu, Qunying. Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of PNQD Random Variables. Journal of Applied Mathematics No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-992950
American Medical Association (AMA)
Wu, Qunying. Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of PNQD Random Variables. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-992950
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-992950
