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Discrete Dynamics in Nature and Society
Article . 2012 . Peer-reviewed
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Discrete Dynamics in Nature and Society
Article
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Article . 2012
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Strong Convergence Properties for Asymptotically Almost Negatively Associated Sequence

Strong convergence properties for asymptotically almost negatively associated sequence
Authors: Xueping Hu; Guohua Fang; Dongjin Zhu;

Strong Convergence Properties for Asymptotically Almost Negatively Associated Sequence

Abstract

By applying the moment inequality for asymptotically almost negatively associated (in short AANA) random sequence and truncated method, we get the three series theorems for AANA random variables. Moreover, a strong convergence property for the partial sums of AANA random sequence is obtained. In addition, we also study strong convergence property for weighted sums of AANA random sequence.

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Keywords

Measures of association (correlation, canonical correlation, etc.), Asymptotic distribution theory in statistics, QA1-939, Inequalities; stochastic orderings, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
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