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作者:

Yu, Ping (Yu, Ping.) | Zhu, Zhongyi (Zhu, Zhongyi.) | Zhang, Zhongzhan (Zhang, Zhongzhan.) (学者:张忠占)

收录:

CPCI-S Scopus SCIE

摘要:

In this paper, we present a new robust estimation procedure for semi-functional linear regression models by using exponential squared loss. The outstanding advantage of the proposed method is the resulting estimators are more efficient than the least squares estimators in the presence of outliers or heavy-tail error distributions. The slope function and functional predictor variable are approximated by functional principal component basis functions. Under some regularity conditions, we obtain the optimal convergence rate of slope function, and the asymptotic normality of parameter vector and variance estimator. Finally, we investigate the finite sample performance of the proposed method through a simulation study and real data analysis.

关键词:

Exponential squared loss Functional data analysis Functional principal component analysis Robust estimation

作者机构:

  • [ 1 ] [Yu, Ping]Fudan Univ, Dept Stat, Shanghai 200433, Peoples R China
  • [ 2 ] [Zhu, Zhongyi]Fudan Univ, Dept Stat, Shanghai 200433, Peoples R China
  • [ 3 ] [Yu, Ping]Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041000, Peoples R China
  • [ 4 ] [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • [Zhu, Zhongyi]Fudan Univ, Dept Stat, Shanghai 200433, Peoples R China

电子邮件地址:

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来源 :

COMPUTATIONAL STATISTICS

ISSN: 0943-4062

年份: 2019

期: 2

卷: 34

页码: 503-525

1 . 3 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:25

被引次数:

WoS核心集被引频次: 9

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:

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