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COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF SEQUENCES OF AANA RANDOM VARIABLES

Published online by Cambridge University Press:  01 September 2008

GUANG-HUI CAI  and
BAO-CAI GUO
GUANG-HUI CAI
Affiliation:
Department of Mathematics and Statistics, Zhejiang Gongshang University, Hangzhou 310035, P. R. China e-mail: [email protected]
BAO-CAI GUO
Affiliation:
Department of Mathematics and Statistics, Zhejiang Gongshang University, Hangzhou 310035, P. R. China e-mail: [email protected]
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Abstract

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Let Xn, n ≥ 1 be an asymptotically almost negatively associated (AANA) sequence of random variables. Some complete convergence and Marcinkiewicz–Zygmund type strong laws of large numbers for an AANA sequence of random variables are obtained. The results obtained generalize the results of Kim, Ko and Lee (Kim, T. S., Ko, M. H. and Lee, I. H. 2004. On the strong laws for asymptotically almost negatively associated random variables. Rocky Mountain J. of Math. 34, 979–989.).

Keywords

60F15
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 3 , September 2008 , pp. 351 - 357
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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