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作者:

Xie, Tianfa (Xie, Tianfa.) | Cao, Ruiyuan (Cao, Ruiyuan.) | Yu, Ping (Yu, Ping.)

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摘要:

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.

关键词:

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

作者机构:

  • [ 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

通讯作者信息:

  • 谢田法

    [Xie, Tianfa]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY

ISSN: 1009-6124

年份: 2020

期: 5

卷: 33

页码: 1571-1584

2 . 1 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:15

JCR分区:4

被引次数:

WoS核心集被引频次: 4

SCOPUS被引频次: 4

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

近30日浏览量: 2

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