Strong uniform consistency rates are established for kernel type estimators of functionals of the conditional distribution function, under general conditions. The present treatment unifies a number of specific problems previously studied separately in the literature. Some of these applications we treat in detail, including regression curve estimation, density estimation, estimation of conditional df's, L-smoothing and M-smoothing. Various previous results in the literature are extended and/or sharpened.
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Härdle et al. (1988) studied this question.
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