A note on kernel density estimation at a parametric rate

Details A note on kernel density estimation at a parametric rate A note on kernel density estimation at a parametric rate

2011-11-19

arxiv.org/abs/1111.4542v1

Chac\'on, J.E., Montanero, J. and Nogales, A.G. (2007) A note on kernel density estimation at a parametric rate. Journal of No

Mathematics

Statistics Theory

Scientific paper

In the context of kernel density estimation, we give a characterization of the kernels for which the parametric mean integrated squared error rate $n^{-1}$ may be obtained, where $n$ is the sample size. Also, for the cases where this rate is attainable, we give an asymptotic bandwidth choice that makes the kernel estimator consistent in mean integrated squared error at that rate and a numerical example showing the superior performance of the superkernel estimator when the bandwidth is properly chosen.

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