Uniformly Consistency of the Cauchy-Transformation Kernel Density Estimation Underlying Strong Mixing

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Title:	Uniformly Consistency of the Cauchy-Transformation Kernel Density Estimation Underlying Strong Mixing
Authors:	Horng, Wann-Jyi
Contributors:	醫務管理系
Keywords:	Kernel Density Estimator Cauchy-Transformation Empirical Distribution Convergence Rate Strong Mixing
Date:	2013-02
Issue Date:	2014-05-26 10:50:36 (UTC+8)
Publisher:	Natural Sciences Publishing Corporation
Abstract:	In this paper, one uses the idea of Cauchy-transformation to construct a Cauchy-transformation kernel density estimator underlying the condition of strong mixing. The uniformly strong consistency and convergence rates of the proposed estimator are obtained underlying the papers of Cai and Roussas [1] and Kim and Lee [6]. The proposed estimator can improve the boundary effects of the empirical (or uniform)-transformation kernel density estimator in the boundary area. Besides, the proposed estimator can also be applied to estimate the hazard function.
Relation:	Applied Mathematics & Information Sciences, v.7 n.1, pp.5-9
Appears in Collections:	[Dept. of Hospital and Health (including master's program)] Periodical Articles

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