The limit theorems on extreme order statistics and partial sums of i.i.d. random variables
Probability
2023-12-18 v1
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.
Keywords
Cite
@article{arxiv.2312.09499,
title = {The limit theorems on extreme order statistics and partial sums of i.i.d. random variables},
author = {Gaoyu Li and Zhongquan Tan},
journal= {arXiv preprint arXiv:2312.09499},
year = {2023}
}