Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM ELEMENTS

  • Published : 2007.03.31
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Abstract

A complete convergence theorem for arrays of rowwise independent random variables was proved by Sung, Volodin, and Hu [14]. In this paper, we extend this theorem to the Banach space without any geometric assumptions on the underlying Banach space. Our theorem also improves some known results from the literature.

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References

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  1. COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF RANDOM ELEMENTS vol.47, pp.2, 2010, https://doi.org/10.4134/BKMS.2010.47.2.369
  2. Some complete convergence results for row sums from arrays of rowwise independent random elements in Rademacher type p Banach spaces vol.32, pp.1, 2011, https://doi.org/10.1134/S1995080211010112
  3. A Note on Complete Convergence for Arrays of Rowwise Independent Banach Space Valued Random Elements vol.28, pp.3, 2010, https://doi.org/10.1080/07362991003708713