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Zbl 1202.60044
Wu, Qunying
A strong limit theorem for weighted sums of sequences of negatively dependent random variables.
(English)
[J] J. Inequal. Appl. 2010, Article ID 383805, 8 p. (2010). ISSN 1029-242X/e

Summary: Applying the moment inequality of negatively dependent random variables which was obtained by {\it N. Asadian} et al. [J. Iran. Stat. Soc. JIRSS 5, No.~1--2, 69--75 (2006)], the strong limit theorem for weighted sums of sequences of negatively dependent random variables is discussed. As a result, the strong limit theorem for negatively dependent sequences of random variables is extended. Our results extend and improve the corresponding results of {\it P. D. Bai} and {\it P. E. Cheng} [Stat. Probab. Lett. 46, No.~2, 105--112 (2000; Zbl 0960.60026)] from the i.i.d. case to ND sequences.
MSC 2000:
*60F10 Large deviations

Citations: Zbl 0960.60026

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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