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A note on kernel polygons

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  • Chien-Tai Lin
  • Jyh-Shyang Wu
  • Chia-Hung Yen

Abstract

Jones (1989) has pointed out that piecewise linear interpolated kernel density estimators on a sufficiently fine grid can be visually indistinguishable from the true density. A simple device, the kernel polygon, is proposed for eliminating the evaluation of the normalisation constant of the estimator while retaining its property of being a density function as well as providing practical advantages. The class of uniform and linear kernels of the kernel polygons is given. Finally, we present a simulation study and a real data example in which we compare bandwidth selectors for the kernel polygons. Copyright 2006, Oxford University Press.

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  • Chien-Tai Lin & Jyh-Shyang Wu & Chia-Hung Yen, 2006. "A note on kernel polygons," Biometrika, Biometrika Trust, vol. 93(1), pages 228-234, March.
    • Handle: RePEc:oup:biomet:v:93:y:2006:i:1:p:228-234
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    File URL: http://hdl.handle.net/10.1093/biomet/93.1.228
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