Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables

Applying to the moment inequality of negatively dependent random variables the complete convergence for weighted sums of sequences of negatively dependent random variables is discussed. As a result, complete convergence theorems for negatively dependent sequences of random variables are extended.

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Veröffentlicht in:Journal of Probability and Statistics 2011-01, Vol.2011 (2011), p.46-61
1. Verfasser: Wu, Qunying
Format: Artikel
Sprache:eng
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Zusammenfassung:Applying to the moment inequality of negatively dependent random variables the complete convergence for weighted sums of sequences of negatively dependent random variables is discussed. As a result, complete convergence theorems for negatively dependent sequences of random variables are extended.
ISSN:1687-952X
1687-9538
DOI:10.1155/2011/202015