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

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  • Xue Ding

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.

Suggested Citation

  • Xue Ding, 2024. "The chover-type law of iterated logarithm for the weighted sums of negatively superadditive dependent random variables," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(4), pages 1277-1293, February.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:4:p:1277-1293
    DOI: 10.1080/03610926.2022.2097696
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