数学物理学报(英文版)

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FIXED-DESIGN SEMIPARAMETRIC REGRESSION FOR LINEAR TIME SERIES

胡舒合   

  1. 安徽大学数学与计算机学院, 合肥 230039
  • 收稿日期:2003-04-21 修回日期:2003-12-06 出版日期:2006-01-20 发布日期:2006-01-20
  • 通讯作者: 胡舒合
  • 基金资助:

    This article was supported by the National Natural Science Foundation of China(10571001) and the Innovation Group Foundation of Anhui University.

FIXED-DESIGN SEMIPARAMETRIC REGRESSION FOR LINEAR TIME SERIES

Hu Shuhe   

  1. School of Mathematics and Computation Science, Anhui University, Hefei 230039, China
  • Received:2003-04-21 Revised:2003-12-06 Online:2006-01-20 Published:2006-01-20
  • Contact: Hu Shuhe

摘要:

This article studies parametric component and nonparametric component
estimators in a semiparametric regression model with linear time series errors; their r-th mean consistency and complete consistency are obtained under suitable conditions. Finally, the author shows that the usual weight functions based on nearest neighbor methods satisfy the designed assumptions imposed.

关键词: Fixed-design, semiparametric regression, linear time series

Abstract:

This article studies parametric component and nonparametric component
estimators in a semiparametric regression model with linear time series errors; their r-th mean consistency and complete consistency are obtained under suitable conditions. Finally, the author shows that the usual weight functions based on nearest neighbor methods satisfy the designed assumptions imposed.

Key words: Fixed-design, semiparametric regression, linear time series

中图分类号: 

  • 62G05