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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.
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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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