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math.ST2018★ 13 cited
Uniform Convergence Rate of the Kernel Density Estimator Adaptive to Intrinsic Volume Dimension
Jisu Kim, Jaehyeok Shin, Alessandro Rinaldo +1
We derive concentration inequalities for the supremum norm of the difference between a kernel density estimator (KDE) and its point-wise expectation that hold uniformly over the se…
math.ST2018★ 8 cited
Robust Multivariate Nonparametric Tests via Projection-Averaging
Ilmun Kim, Sivaraman Balakrishnan, Larry Wasserman
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…