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Author:

Yu, Ping (Yu, Ping.) | Zhang, Zhongzhan (Zhang, Zhongzhan.) (Scholars:张忠占) | Du, Jiang (Du, Jiang.) (Scholars:杜江)

Indexed by:

Scopus SCIE

Abstract:

This paper investigates the hypothesis test of the parametric component in partial functional linear regression. We propose a test procedure based on the residual sums of squares under the null and alternative hypothesis, and establish the asymptotic properties of the resulting test. A simulation study shows that the proposed test procedure has good size and power with finite sample sizes. Finally, we present an illustration through fitting the Berkeley growth data with a partial functional linear regression model and testing the effect of gender on the height of kids.

Keyword:

Functional data analysis Functional principal component analysis Asymptotics Partial functional linear regression

Author Community:

  • [ 1 ] [Yu, Ping]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Du, Jiang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 4 ] [Yu, Ping]Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041000, Peoples R China

Reprint Author's Address:

  • 张忠占

    [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

METRIKA

ISSN: 0026-1335

Year: 2016

Issue: 8

Volume: 79

Page: 953-969

0 . 7 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:71

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 32

SCOPUS Cited Count: 35

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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