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非参数回归模型变点两步估计法及实证分析

赵文芝 夏志明 贺飞跃

纺织高校基础科学学报2016,Vol.29Issue(3):351-355,5.
纺织高校基础科学学报2016,Vol.29Issue(3):351-355,5.DOI:10.13338/j.issn.1006-8341.2016.03.013

非参数回归模型变点两步估计法及实证分析

Two-step change point estimation in nonparametric regression model and the empirical analysis

赵文芝 1夏志明 2贺飞跃1

作者信息

  • 1. 西安工程大学 理学院,陕西 西安 710048
  • 2. 西北大学 数学学院,陕西 西安 710127
  • 折叠

摘要

Abstract

The two-step estimators for change point in nonparametric regression are proposed.In the first step,an initial estimator is obtained by local linear smoothing method.In the second step,the fi-nal estimator is obtained by CUSUM method on a closed neighborhood of initial estimator.It is found through a simulation study that the proposed estimator is efficient.The estimator for j ump size is also obtained.Further more,experimental results that using historical data on Nile river discharges,ex-change rate data of USD against RMB and global temperature data for the northern hemisphere show that the proposed method is also practical in applications.

关键词

非参数回归模型/变点/局部线性方法/CUSUM

Key words

nonparametric regression model/change point/local linear method/CUSUM

分类

数理科学

引用本文复制引用

赵文芝,夏志明,贺飞跃..非参数回归模型变点两步估计法及实证分析[J].纺织高校基础科学学报,2016,29(3):351-355,5.

基金项目

国家自然科学青年基金资助项目(11201372) (11201372)

陕西省教育厅科研计划项目(2013JK0592) (2013JK0592)

纺织高校基础科学学报

OACSTPCD

1006-8341

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