We prove a Bennett-type concentration bound for suprema of empirical processes based on sampling without replacement and a corresponding bound in the case of an arbitrary Hoeffding statistics. We improve on the previous results of such type, providing a sharper concentration profile.
Concentration around the mean for maxima of empirical processes
A tail estimate for empirical processes of multivariate Gaussian under general dependence
Symmetrization approach to concentration inequalities for empirical processes
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