A note on kernel polygons

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Title:	A note on kernel polygons
Authors:	林千代;Lin, Chien-tai;伍志祥;Wu, Jyh-shyang;顏嘉宏;Yen Chia-hung
Contributors:	淡江大學數學學系
Keywords:	Edge frequency polygon;Frequency polygon;Integrated mean squared error Edge frequency polygon;Frequency polygon;Integrated mean squared error;Kernel density estimator;Smoothing
Date:	2006-03
Issue Date:	2010-01-28
Publisher:	Oxford University Press
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.
Relation:	Biometrika 93(1), pp.228-234
DOI:	10.1093/biomet/93.1.228
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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