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On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables
Joint Authors
Zhang, Ying
Volodin, Andrei
Shen, Aiting
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let an,n≥1 be a sequence of positive constants with an/n↑ and let X,Xn,n≥1 be a sequence of pairwise negatively quadrant dependent random variables.
The complete convergence for pairwise negatively quadrant dependent random variables is studied under mild condition.
In addition, the strong laws of large numbers for identically distributed pairwise negatively quadrant dependent random variables are established, which are equivalent to the mild condition ∑n=1∞PX>an<∞.
Our results obtained in the paper generalize the corresponding ones for pairwiseindependent and identically distributed random variables.
American Psychological Association (APA)
Shen, Aiting& Zhang, Ying& Volodin, Andrei. 2014. On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1034123
Modern Language Association (MLA)
Shen, Aiting…[et al.]. On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1034123
American Medical Association (AMA)
Shen, Aiting& Zhang, Ying& Volodin, Andrei. On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1034123
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034123