Strong laws for weighted sums of i.i.d. random variables
Electronic research announcements of the American Mathematical Society, Tome 12 (2006), pp. 29-36.

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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.
DOI : 10.1090/S1079-6762-06-00157-0

Cai, Guang-hui 1

1 Department of Mathematics and Statistics, Zhejiang Gongshang University, Hangzhou 310035, P. R. China
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Cai, Guang-hui. Strong laws for weighted sums of i.i.d. random variables. Electronic research announcements of the American Mathematical Society, Tome 12 (2006), pp. 29-36. doi : 10.1090/S1079-6762-06-00157-0. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-06-00157-0/

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