On kernel estimation of curves with non-smooth peaks

Ziegler, Frank

Nonparametric estimation of the mode of a density function via kernel methods is considered. It is shown that asymptotic normality of the mode estimator can be achieved also if the density has k "kink" at die location at the mode, if there is symmetry up to second order around the kink. Tests for the presence of a smooth or symmetric peak at a preassigned location are also considered.

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Ziegler, Frank: On kernel estimation of curves with non-smooth peaks. 2003.

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