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Feb 2000 Weighted sums for i.i.d. random variables with relatively thin tails
Hartmut Lanzinger, Ulrich Stadtmüller
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Bernoulli 6(1): 45-61 (Feb 2000).


We prove almost sure limit theorems for weighted sums of i.i.d. random variables with weights having a very short span, so that rather strong moment conditions are needed. This complements results due to Li et al. and the first author.


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Hartmut Lanzinger. Ulrich Stadtmüller. "Weighted sums for i.i.d. random variables with relatively thin tails." Bernoulli 6 (1) 45 - 61, Feb 2000.


Published: Feb 2000
First available in Project Euclid: 22 April 2004

zbMATH: 0956.60013
MathSciNet: MR2001I:60053

Keywords: Law of the iterated logarithm , Speed of convergence , strong laws of large numbers , weighted means of i.i.d. random variables

Rights: Copyright © 2000 Bernoulli Society for Mathematical Statistics and Probability

Vol.6 • No. 1 • Feb 2000
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