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A generalized law of the iterated logarithm

R. J. Tomkins

Statistics & Probability Letters, 1990, vol. 10, issue 1, 9-15

Abstract: Let {Sn, n [greater-or-equal, slanted] } denote the partial sums of a sequence of independent random variables, and let (Bn, n [greater-or-equal, slanted] 1) be a non-decreasing sequence with Bn --> [infinity]. Upper and lower bounds for lim supn --> [infinity] Sn/(2B2n log log B2n) are presented.

Keywords: Sums; of; independent; random; variables; generalized; law; of; the; iterated; logarithm (search for similar items in EconPapers)
Date: 1990
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