ISSN 0253-2778

CN 34-1054/N

Open AccessOpen Access JUSTC

Strong convergence for weighted sums of negatively superadditive dependent random variables

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2015.02.002
  • Received Date: 30 June 2014
  • Rev Recd Date: 17 October 2014
  • Publish Date: 28 February 2015
  • Some results on the complete convergence for sequences of negatively superadditive dependent (NSD) random variables were obtained by using the Marcinkiewicz-Zygmund type moment inequality, Kolmogorov type exponential inequality and the truncated method. The obtained results extend the corresponding conclusions for weighted sums of negatively associated (NA) random variables with identical distribution to the case of sequences of NSD random variables with nonidentical distribution.
    Some results on the complete convergence for sequences of negatively superadditive dependent (NSD) random variables were obtained by using the Marcinkiewicz-Zygmund type moment inequality, Kolmogorov type exponential inequality and the truncated method. The obtained results extend the corresponding conclusions for weighted sums of negatively associated (NA) random variables with identical distribution to the case of sequences of NSD random variables with nonidentical distribution.
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