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math.ST2005★ 2 cited
Exact minimax risk for density estimators in non-integer Sobolev classes
Clementine Dalelane
The -minimax risk in Sobolev classes of densities with non-integer smoothness index is shown to have an analog form to that in integer Sobolev classes. To this end, the notio…
math.ST2005★ 3 cited
Exact oracle inequality for a sharp adaptive kernel density estimator
Clementine Dalelane
In one-dimensional density estimation on i.i.d. observations we suggest an adaptive cross-validation technique for the selection of a kernel estimator. This estimator is both asymp…