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Abstract:
In this paper, we consider rank estimation for partial functional linear regression models based on functional principal component analysis. The proposed rank-based method is robust to outliers in the errors and highly efficient under a wide range of error distributions. The asymptotic properties of the resulting estimators are established under some regularity conditions. A simulation study conducted to investigate the finite sample performance of the proposed estimators shows that the proposed rank method performs well. Furthermore, the proposed methodology is illustrated by means of an analysis of the Berkeley growth data.
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JOURNAL OF THE KOREAN STATISTICAL SOCIETY
ISSN: 1226-3192
Year: 2020
Issue: 2
Volume: 50
Page: 354-379
0 . 6 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:46
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 10
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