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

Herold Dehling; Davide Giraudo; Olimjon Sharipov

doi:10.1007/s10474-021-01156-4

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arXiv · 2006.07624

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

Herold Dehling·Davide Giraudo·Olimjon Sharipov

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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.

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Herold Dehling, Davide Giraudo, Olimjon Sharipov. 2020-06-13. Convergence of the empirical two-sample $U$-statistics with $\beta$-mixing data. https://doi.org/10.1007/s10474-021-01156-4

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