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arXiv · 2312.09499

The limit theorems on extreme order statistics and partial sums of i.i.d. random variables

Gaoyu Li·Zhongquan Tan
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Abstract

This paper proves several weak limit theorems for the joint version of extreme order statistics and partial sums of independently and identically distributed random variables. The results are also extended to almost sure limit version.

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Gaoyu Li, Zhongquan Tan. 2023-12-15. The limit theorems on extreme order statistics and partial sums of i.i.d. random variables. https://arxiv.org/abs/2312.09499

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