On the almost sure growth rate of sums of lower negatively dependent nonnegative random variables
For a sequence of lower negatively dependent nonnegative random variables Xn,n[greater-or-equal, slanted]1 , conditions are provided under which almost surely where bn,n[greater-or-equal, slanted]1 is a nondecreasing sequence of positive constants. The results are new even when they are specialized to the case of nonnegative independent and identically distributed summands and bn=nr, n[greater-or-equal, slanted]1 where r>0.
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Volume (Year): 71 (2005)
Issue (Month): 2 (February)
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References listed on IDEAS
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- Rosalsky, Andrew, 1993. "On the almost certain limiting behavior of normed sums of identically distributed positive random variables," Statistics & Probability Letters, Elsevier, vol. 16(1), pages 65-70, January.
- Gut, Allan & Klesov, Oleg & Steinebach, Josef, 1997. "Equivalences in strong limit theorems for renewal counting processes," Statistics & Probability Letters, Elsevier, vol. 35(4), pages 381-394, November.
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