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Zbl 1247.60041
Sung, Soo Hak
On the strong convergence for weighted sums of random variables.
(English)
[J] Stat. Pap. 52, No. 2, 447-454 (2011). ISSN 0932-5026

Summary: A strong convergence result is obtained for weighted sums of identically distributed negatively associated random variables which have a suitable moment condition. This result improves the result of {\it G.-H. Cai} [Metrika 68, No. 3, 323--331 (2008; Zbl 06085422)].
MSC 2000:
*60F15 Strong limit theorems
62G05 Nonparametric estimation

Keywords: weighted sum; strong convergence; complete convergence; negatively associated random variable

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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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