Minimax optimality of permutation tests Page 1 The Annals of Statistics 2022, Vol. 50, No. 1,
225–251 https://doi.org/10.1214/21-AOS2103 © Institute of Mathematical Statistics, 2022 …

In this work, we generalize the Cramér–von Mises statistic via projection averaging to obtain
a robust test for the multivariate two-sample problem. The proposed test is consistent against …

Optimal rates for independence testing via U-statistic permutation tests Page 1 The Annals
of Statistics 2021, Vol. 49, No. 5, 2457–2490 https://doi.org/10.1214/20-AOS2041 © Institute …

Adaptive test of independence based on HSIC measures Page 1 The Annals of Statistics
2022, Vol. 50, No. 2, 858–879 https://doi.org/10.1214/21-AOS2129 © Institute of …

Dependence measures based on reproducing kernel Hilbert spaces, also known as Hilbert-
Schmidt Independence Criterion and denoted HSIC, are widely used to statistically decide …

We consider a novel multivariate nonparametric two-sample testing problem where, under
the alternative, distributions $ P $ and $ Q $ are separated in an integral probability metric …

Initially motivated by the study of the non-asymptotic properties of non-parametric tests
based on permutation methods, concentration inequalities for uniformly permuted sums …

With the recent advancement of data collection techniques, there has been an explosive
growth in the sizeand complex of data sets in many application domains. The rise of such …