PARTIALLY LINEAR ADDITIVE FUNCTIONAL REGRESSION

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Author(s)

  • Xiaohui Liu
  • Wenqi Lu
  • Heng Lian
  • Yuzi Liu
  • Zhongyi Zhu

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)2199-2216
Journal / PublicationStatistica Sinica
Volume32
Issue number4
Publication statusPublished - Oct 2022

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Publisher's Copyright Statement
  • COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: Statistica Sinica © 2022 Institute of Statistical Science, Academia Sinica. Use of this article is permitted solely for educational and research purposes. Liu, X., Lu, W., Lian, H., Liu, Y., & Zhu, Z. (2022). PARTIALLY LINEAR ADDITIVE FUNCTIONAL REGRESSION. Statistica Sinica, 32(4), 2199-2216. https://doi.org/10.5705/ss.202020.0418.
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85159209335&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(0363b274-aadb-41f2-9e89-0ad5fa80d59d).html

Abstract

We consider a novel partially linear additive functional regression model in which both a functional predictor and some scalar predictors appear. The functional part has a semiparametric continuously additive form, while the scalar predictors appear in the linear part. The functional part has the optimal convergence rate, and the asymptotic normality of the nonfunctional part is also shown. Simulations and an empirical analysis of a Covid-19 data set demonstrate the performance of the proposed estimator.

Research Area(s)

  • Convergence rate, functional data, penalization, RKHS, EFFICIENT ESTIMATION, MODELS, CONVERGENCE, SELECTION, SINGLE

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Publication fingerprints text

100
additives INIS
100
Additive Functional Mathematics
100
Scalar Keyphrases
100
Functional Part Keyphrases
100
Partially Linear Mo... Keyphrases
100
Functional Regressi... Keyphrases
100
Additive Function Keyphrases
66
scalars INIS
50
Convergence Rate Mathematics
50
Regression Model Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
PARTIALLY LINEAR ADDITIVE FUNCTIONAL REGRESSION. / Liu, Xiaohui; Lu, Wenqi; Lian, Heng et al.
In: Statistica Sinica, Vol. 32, No. 4, 10.2022, p. 2199-2216.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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