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Strong laws for weighted sums of i.i.d. random variables. (English) Zbl 1165.60317

Summary: 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 S.-H. Sung [Bull. Korean Math. Soc. 39, No. 4, 607–615 (2002; Zbl 1027.60028].

MSC:

60F15 Strong limit theorems

Citations:

Zbl 1027.60028
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