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Canonical higher-order kernels for density derivative estimation
Journal article   Peer reviewed

Canonical higher-order kernels for density derivative estimation

Daniel J Henderson and Christopher F Parmeter
Statistics & probability letters, Vol.82(7), pp.1383-1387
2012-07
DOI: https://doi.org/10.1016/j.spl.2012.03.013

Abstract

Derivative estimation AMISE
In this note we present νth-order kernel density derivative estimators using canonical higher-order kernels. These canonical rescalings uncouple the choice of kernel and scale factor. This approach is useful for selection of the order of the kernel in a data-driven procedure as well as for visual comparison of kernel estimates.

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Collaboration types
Domestic collaboration
Citation topics
9 Mathematics
9.92 Statistical Methods
9.92.220 Nonparametric Regression
Web Of Science research areas
Statistics & Probability
ESI research areas
Mathematics

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