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作者:

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

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Scopus SCIE

摘要:

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.

关键词:

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

作者机构:

  • [ 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

通讯作者信息:

  • 张忠占

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

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来源 :

METRIKA

ISSN: 0026-1335

年份: 2016

期: 8

卷: 79

页码: 953-969

0 . 7 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:45

中科院分区:4

被引次数:

WoS核心集被引频次: 29

SCOPUS被引频次: 28

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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