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Bull. Korean Math. Soc. 2011; 48(5): 923-938
Printed September 1, 2011
https://doi.org/10.4134/BKMS.2011.48.5.923
Copyright © The Korean Mathematical Society.
Strong limit theorems for weighted sums of NOD sequence and exponential inequalities
Xuejun Wang, Shuhe Hu, and Andrei I. Volodin
Anhui University, Anhui University, University of Regina
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
MSC numbers: 60F15, 60E15
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