Exact laws of large numbers for k-th order statistics from the asymmetrical Cauchy distribution

Wenzhi Yang, Ran Ding, Shuhe Hu and Chunyu Yao

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 8, 2757-2770

Abstract: The laws of large numbers are studied from the arrays of asymmetrical Cauchy random variables. Some exact laws of large numbers are obtained for the k-th order statistics, including a weak law and a strong law. It turns out that the weak law cannot extend to a strong law. Our results extend some existing works for independent and dependent cases.

Date: 2024
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DOI: 10.1080/03610926.2022.2148474

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