Some strong convergence properties for arrays of rowwise ANA random variables

Some strong convergence properties for arrays of rowwise ANA random variables

In this paper, some complete convergence, complete moment convergence, and mean convergence results for arrays of rowwise asymptotically negatively associated (ANA) random variables are obtained. These theorems not only generalize some well-known ones to ANA cases, but they also improve them.

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Veröffentlicht in:Journal of inequalities and applications 2016-11, Vol.2016 (1), p.1-16, Article 303
Hauptverfasser: Huang, Haiwu, Ouyang, Mengqian, Jiang, Yuanying
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Arrays
arrays of rowwise ANA random variables
Asymptotic properties
complete convergence
complete moment convergence
Convergence
Inequalities
Mathematics
Mathematics and Statistics
mean convergence
Random variables
Theorems
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Beschreibung
Zusammenfassung:In this paper, some complete convergence, complete moment convergence, and mean convergence results for arrays of rowwise asymptotically negatively associated (ANA) random variables are obtained. These theorems not only generalize some well-known ones to ANA cases, but they also improve them.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-016-1247-1