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Author:

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

Indexed by:

CPCI-S Scopus SCIE

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

COMPUTATIONAL STATISTICS

ISSN: 0943-4062

Year: 2019

Issue: 2

Volume: 34

Page: 503-525

1 . 3 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

Cited Count:

WoS CC Cited Count: 13

SCOPUS Cited Count: 13

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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