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

  • Cai, Guang-Hui (Department of Mathematics and Statistics Zhejing Gongshang University)
  • Published : 2006.10.31

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

References

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  1. On Complete Convergence for Weighted Sums ofρ*-Mixing Random Variables vol.2013, 2013, https://doi.org/10.1155/2013/947487