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http://dx.doi.org/10.4134/BKMS.2011.48.5.923

STRONG LIMIT THEOREMS FOR WEIGHTED SUMS OF NOD SEQUENCE AND EXPONENTIAL INEQUALITIES  

Wang, Xuejun (School of Mathematical Science Anhui University)
Hu, Shuhe (School of Mathematical Science Anhui University)
Volodin, Andrei I. (Department of Mathematics and Statistics University of Regina)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 923-938 More about this Journal
Abstract
Some properties for negatively orthant dependent sequence are discussed. Some strong limit results for the weighted sums are obtained, which generalize the corresponding results for independent sequence and negatively associated sequence. At last, exponential inequalities for negatively orthant dependent sequence are presented.
Keywords
strong convergence; negatively associated random variables; negatively orthant dependent random variables; exponential inequality;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
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