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http://dx.doi.org/10.4134/CKMS.2006.21.4.771

STRONG LAWS FOR WEIGHTED SUMS OF I.I.D. RANDOM VARIABLES  

Cai, Guang-Hui (Department of Mathematics and Statistics Zhejing Gongshang University)
Publication Information
Communications of the Korean Mathematical Society / v.21, no.4, 2006 , pp. 771-778 More about this Journal
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 ([12]).
Keywords
almost sure convergence; Marchinkiewicz-Zygmund strong laws; weighted sums; i.i.d.;
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Times Cited By KSCI : 1  (Citation Analysis)
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