Article

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

Herold DehlingRuhr-Universität Bochum, 44780, Bochum, GermanyDavide GiraudoRuhr-Universität Bochum, 44780, Bochum, GermanyOlimjon Sh. SharipovMirzo Ulugbek National University of Uzbekistan, Mathematical faculty, 4 University str., 100714, Tashkent, Uzbekistan

arXiv (Cornell University)repository2020en

ABI

Abstract

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

Topics

Random Matrices and Applications Statistical Methods and Inference Bayesian Methods and Mixture Models

Identifiers

DOI: 10.1007/s10474-021-01156-4

Citations and references

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