On the partial sums and extreme order statistics of i.i.d. random variables

Jiacheng Ye, Xin Chen and Jinghong Xiao

Statistics & Probability Letters, 2025, vol. 222, issue C

Abstract: This paper proves several limit theorems for the joint version of partial sums and extreme order statistics. The obtained results extend those of Li et al. (2024) to the case where the random variables have infinite variances.

Keywords: Partial sums; Extreme order statistics; Stable distribution function; Almost sure limit theorem (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2025.110405

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