Improvement on Some Known Nonparametric Uniformly Consistent Estimators of Derivatives of a Density
Improvement on Some Known Nonparametric Uniformly Consistent Estimators of Derivatives of a Density
Based on a random sample from a univariate distribution with density $f$, this note exhibits a class of kernel estimators of the $p$th order derivative $f^{(p)}$ of $f, p \geqq 0$ fixed. These estimators improve some known estimators of $f^{(p)}$ by weakening the conditions, sharpening the rates of convergence, or …