A note on kernel polygons

Chien-Tai Lin, Jyh-Shyang Wu and Chia-Hung Yen

Biometrika, 2006, vol. 93, issue 1, 228-234

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.

Date: 2006
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