The chover-type law of iterated logarithm for the weighted sums of negatively superadditive dependent random variables

Xue Ding

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 4, 1277-1293

Abstract: Let {Xn,n≥1} be a sequence of NSD random variables which is stochastically dominated by a random variable X satisfying that X is α−tailed, α>0. Let {ani,1≤i≤n,n≥1} be an array of real numbers with ∑i=1nani2=O(n). In this paper, the author proves the Chover-type law of the iterated logarithm for weighted partial sums of NSD random variables, and also gives some classical examples. The results obtained improve and generalize the known results.

Date: 2024
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DOI: 10.1080/03610926.2022.2097696

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