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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

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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.

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