A remark on the law of the logarithm for weighted sums of random variables with multidimensional indices

Pingyan Chen and Chunyan Hao

Statistics & Probability Letters, 2011, vol. 81, issue 12, 1808-1812

Abstract: In this work, a sharp upper bound on the law of the logarithm for the weighted sums of random variables with multidimensional indices is obtained. The main result improves the result in [Li, Rao and Wang, 1995. On strong law of large numbers and the law of the logarithm for weighted sums of independent random variables with multidimensional indices. J. Multivariate Anal. 52, 181–198], partly.

Keywords: Law of the logarithm; Weighted sum (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1016/j.spl.2011.07.007

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