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COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF RANDOM ELEMENTS

  • Published : 2010.03.31

Abstract

We obtain a result on complete convergence of weighted sums for arrays of rowwise independent Banach space valued random elements. No assumptions are given on the geometry of the underlying Banach space. The result generalizes the main results of Ahmed et al. [1], Chen et al. [2], and Volodin et al. [14].

Keywords

array of random elements;complete convergence;weighted sums;rowwise independence;convergence in probability

References

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