Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-27
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables is investigated.
By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables are obtained.
The results of Ahmed et al.
(2002) are complemented.
As an application, the complete moment convergence of moving average processes based on a φ-mixing random sequence is obtained, which improves the result of Kim et al.
(2008).
American Psychological Association (APA)
Guo, Ming Le. 2012. Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-494169
Modern Language Association (MLA)
Guo, Ming Le. Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-494169
American Medical Association (AMA)
Guo, Ming Le. Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-494169
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494169
