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Author:

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

Indexed by:

SCIE CSCD

Abstract:

This paper investigates the hypothesis test of the parametric component in partial functional linear regression models. Based on a rank score function, the authors develop a rank test using functional principal component analysis, and establish the asymptotic properties of the resulting test under null and local alternative hypotheses. A simulation study shows that the proposed test procedure has good size and power with finite sample sizes. The authors also present an illustration through fitting the Berkeley Growth Data and testing the effect of gender on the height of kids.

Keyword:

Asymptotic normality functional principal component analysis Karhunen-loeve expansion local alternative hypothesis rank regression

Author Community:

  • [ 1 ] [Xie, Tianfa]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Cao, Ruiyuan]Beijing Univ Technol, Coll Appl 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, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY

ISSN: 1009-6124

Year: 2020

Issue: 5

Volume: 33

Page: 1571-1584

2 . 1 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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