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Author:

Cao, Ruiyuan (Cao, Ruiyuan.) | Xie, Tianfa (Xie, Tianfa.) (Scholars:谢田法) | Yu, Ping (Yu, Ping.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we consider rank estimation for partial functional linear regression models based on functional principal component analysis. The proposed rank-based method is robust to outliers in the errors and highly efficient under a wide range of error distributions. The asymptotic properties of the resulting estimators are established under some regularity conditions. A simulation study conducted to investigate the finite sample performance of the proposed estimators shows that the proposed rank method performs well. Furthermore, the proposed methodology is illustrated by means of an analysis of the Berkeley growth data.

Keyword:

Convergence rate Functional principal component analysis Asymptotic normality Rank estimation Karhunen-Loeve expansion

Author Community:

  • [ 1 ] [Cao, Ruiyuan]Beijing Univ Technol, Fac Sci, Sch Stat & Data Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Xie, Tianfa]Beijing Univ Technol, Fac Sci, Sch Stat & Data Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Yu, Ping]Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041000, Shanxi, Peoples R China

Reprint Author's Address:

  • 谢田法

    [Xie, Tianfa]Beijing Univ Technol, Fac Sci, Sch Stat & Data Sci, Beijing 100124, Peoples R China

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Source :

JOURNAL OF THE KOREAN STATISTICAL SOCIETY

ISSN: 1226-3192

Year: 2020

Issue: 2

Volume: 50

Page: 354-379

0 . 6 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 11

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