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Complete convergence of weighted sums under negative dependence

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Abstract

In this paper, we study the complete convergence of weighted sums. In fact, we extend the result of Amini and Bozorgnia (J Appl Math Stoch Anal 16(2):121–126, 2003) on unweighted average to a weighted average under mild conditions.

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Authors and Affiliations

  1. Department of Statistics, Zabol University, Zabol, Iran

    H. Zarei

  2. Department of Statistics, Ordered and Spatial Data Center of Excellence, Ferdowsi University of Mashhad, Mashhad, Iran

    H. Jabbari

Authors
  1. H. Zarei
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  2. H. Jabbari
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Corresponding author

Correspondence to H. Zarei.

Additional information

The research was supported by a grant from Ferdowsi University of Mashhad (No. MS88065JAB).

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Zarei, H., Jabbari, H. Complete convergence of weighted sums under negative dependence. Stat Papers 52, 413–418 (2011). https://doi.org/10.1007/s00362-009-0238-4

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  • DOI: https://doi.org/10.1007/s00362-009-0238-4

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