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math.ST2007★ 2 cited
Uniform in bandwidth consistency of conditional U-statistics
J. Dony, D. M. Mason
In 1991 Stute introduced a class of estimators called conditional U-statistics. They can be seen as a generalization of the Nadaraya-Watson estimator, and their strong pointwise co…
math.ST2006
Weighted uniform consistency of kernel density estimators with general bandwidth sequences
Julia Dony, Uwe Einmahl
We are interested in the rate of consistency of kernel density estimators with respect to the weighted sup-norm determined by some unbounded weight function. This problem has been…
math.ST2006★ 33 cited
Uniform in bandwidth consistency of local polynomial regression function estimators
Julia Dony, Uwe Einmahl, David M. Mason
We generalize a method for proving uniform in bandwidth consistency results for kernel type estimators developed by the two last named authors. Such results are shown to be useful…