• 综合
  • 标题
  • 关键词
  • 摘要
  • 学者
  • 期刊-刊名
  • 期刊-ISSN
  • 会议名称
搜索

作者:

Cai, Xiong (Cai, Xiong.) | Xue, Liugen (Xue, Liugen.) (学者:薛留根) | Lu, Fei (Lu, Fei.)

收录:

SCIE

摘要:

In this article, we consider a new robust estimation procedure for the partial functional linear model (PFLM) with the slope function approximated by spline basis functions. This robust estimation procedure applies a modified Huber's function with tail function replaced by the exponential squared loss (ESL) to achieve robustness against outliers. A data-driven procedure is presented for selecting the tuning parameters of the new estimation method, which enables us to reach better robustness and efficiency than other methods in the presence of outliers or non-normal errors. We construct robust estimators of both parametric coefficients and function coefficient in the PFLM. Moreover, some asymptotic properties of the resulting estimators are established. The finite sample performance of our proposed method is studied through simulations and illustrated with a data example.

关键词:

B splines Exponential squared loss Huber Partial functional linear models Robust estimation

作者机构:

  • [ 1 ] [Cai, Xiong]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Lu, Fei]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • [Cai, Xiong]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

电子邮件地址:

查看成果更多字段

相关关键词:

来源 :

JOURNAL OF THE KOREAN STATISTICAL SOCIETY

ISSN: 1226-3192

年份: 2020

期: 4

卷: 49

页码: 1214-1237

0 . 6 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:15

JCR分区:4

被引次数:

WoS核心集被引频次: 8

SCOPUS被引频次: 9

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 2

归属院系:

在线人数/总访问数:579/2933022
地址:北京工业大学图书馆(北京市朝阳区平乐园100号 邮编:100124) 联系我们:010-67392185
版权所有:北京工业大学图书馆 站点建设与维护:北京爱琴海乐之技术有限公司