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Limit infimum results for subsequences of partial sums and random sums


  • Divanji, Gooty
  • Koroto, Tadewos


Let be a sequence of i.i.d. valued random variables with distribution function F. Let . When F belongs to the domain of normal attraction of a Stable law, the law of iterated logarithm has been obtained for subsequences of (Sn) and extended to random subsequences.

Suggested Citation

  • Divanji, Gooty & Koroto, Tadewos, 2005. "Limit infimum results for subsequences of partial sums and random sums," Statistics & Probability Letters, Elsevier, vol. 71(2), pages 123-129, February.
  • Handle: RePEc:eee:stapro:v:71:y:2005:i:2:p:123-129

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    References listed on IDEAS

    1. Vasudeva, R. & Savitha, S., 1993. "On the increments of Weiner process - A look through subsequences," Stochastic Processes and their Applications, Elsevier, vol. 47(1), pages 153-158, August.
    2. Vasudeva, R. & Divanji, G., 1991. "Law of iterated logarithm for random subsequences," Statistics & Probability Letters, Elsevier, vol. 12(3), pages 189-194, September.
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    Cited by:

    1. Sreehari, Maddipatla & Divanji, Gooty, 2014. "Limit infimum results for subsequences of partial sums and random sums of i.i.d. random variables," Statistics & Probability Letters, Elsevier, vol. 95(C), pages 101-109.


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