English

Convergence of the empirical two-sample $U$-statistics with $\beta$-mixing data

Probability 2024-01-31 v1 Statistics Theory Statistics Theory

Abstract

We consider the empirical two-sample UU-statistic with strictly β\beta-mixing strictly stationary data and inverstigate its convergence in Skorohod spaces. We then provide an application of such convergence.

Keywords

Cite

@article{arxiv.2006.07624,
  title  = {Convergence of the empirical two-sample $U$-statistics with $\beta$-mixing data},
  author = {Herold Dehling and Davide Giraudo and Olimjon Sharipov},
  journal= {arXiv preprint arXiv:2006.07624},
  year   = {2024}
}
R2 v1 2026-06-23T16:17:54.860Z