Local linear kernel estimation of the discontinuous regression function

被引：0
作者：
I. R. Sánchez-Borrego
M. D. Martínez-Miranda
A. González-Carmona
机构：
[1] Universidad de Granada,Departamento de Estadística e Investigación Operativa, Facultad de Ciencias
来源：
Computational Statistics | 2006年 / 21卷
关键词：
Discontinuity; Jump point; Change point; Local linear kernel regression; Nonparametric regression;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We address the problems of estimating the discontinuous regression function and also its jump points. We propose a method in two steps: we first estimate the jumps and finally the regression function is estimated by an adapted version of a local linear smoother which makes use of the estimated jumps. The practical performance of the proposed method is evaluated by using simulation studies and an application to a real-life problem.
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收藏
页码：557 / 569
页数：12
相关论文
共 37 条
  • [1] Cobb GW(1978)The problem of the Nile: conditional solution to a change-point problem Biometrika 62 243-251
  • [2] Couallier V(1999)Estimation non paramétrique d’une discontinuité dans une densité C R Acad Sci I 329 633-636
  • [3] Gijbels I(1999)On the estimation of jump points in smooth curves Ann Inst Stat Math 51 231-251
  • [4] Hall P(2002)Change-point estimation by local linear smoothing J Multivariate Anal 83 56-83
  • [5] Kneip A(1992)Edge-preserving and peak-preserving smoothing Technometrics 34 429-440
  • [6] Grégoire G(2002)Change-point detection with non-parametric regression Statistics 36 9-31
  • [7] Hamrouni Z(1999)Change points in nonparametric regression functions Commun Stat- Theory Methods 28 1883-1992
  • [8] Hall P(2000)Kernel estimation of discontinuous regression functions Stat Probab Lett 47 277-285
  • [9] Titteringtron DM(1997)Spline estimation of discontinuous regression functions J Comput Graphical Stat 6 266-284
  • [10] Horváth L(1996)Change point estimation using nonparametric regression Ann Stat 24 1667-1678
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