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Electronic Research Announcements

ISSN 1079-6762



Strong laws for weighted sums of i.i.d. random variables

Author: Guang-hui Cai
Journal: Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 29-36
MSC (2000): Primary 60F15
Published electronically: March 6, 2006
MathSciNet review: 2218628
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Abstract: Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the Marcinkiewicz-Zygmund strong laws under certain moment conditions on both the weights and the distribution. The result obtained extends and sharpens the result of Sung.

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Guang-hui Cai
Affiliation: Department of Mathematics and Statistics, Zhejiang Gongshang University, Hangzhou 310035, P. R. China

Keywords: Almost sure convergence, Marcinkiewicz-Zygmund strong laws
Received by editor(s): February 24, 2005
Published electronically: March 6, 2006
Additional Notes: The author would like to thank an anonymous referee for his/her valuable comments.
Communicated by: Mark Freidlin
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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