On the almost sure growth rate of sums of lower negatively dependent nonnegative random variables

Oleg Klesov, Andrew Rosalsky and Andrei I. Volodin

Statistics & Probability Letters, 2005, vol. 71, issue 2, 193-202

Abstract: 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.

Keywords: Sums; of; lower; negatively; dependent; random; variables; Nonnegative; random; variables; Sums; of; independent; and; identically; distributed; random; variables; Almost; sure; growth; rate (search for similar items in EconPapers)
Date: 2005
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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