U. Einmahl et Dm. Mason, An empirical process approach to the uniform consistency of kernel-type function estimators, J THEOR PR, 13(1), 2000, pp. 1-37
We use general empirical process methods to determine under mild regularity
conditions exact rates of uniform strong consistency of kernel-type functi
on estimators. In the process a useful new bound on the expectation of the
supremum of the empirical process is obtained.