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Author:

Hu, Yuping (Hu, Yuping.) | Wang, Yilun (Wang, Yilun.) | Zhang, Liying (Zhang, Liying.) | Xue, Liugen (Xue, Liugen.) (Scholars:薛留根)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, based on spatial autoregression and partial functional linear regression, we introduce a new varying-coefficient partial functional spatial autoregressive model. The functional principal component analysis and B-spline are adopted to approximate the slope function and varying-coefficient functions respectively. Then, the instrumental variable method gives final estimators. Under some regular conditions, we further study the asymptotic normality of the parameter and the convergence rates of slope function and coefficient functions. Lastly, the finite sample performance of the proposed methodology is evaluated by simulation studies and a practical data example.

Keyword:

varying-coefficient partial functional regressive model B-spline spatial autoregression instrumental variable functional principal component analysis Functional data analysis

Author Community:

  • [ 1 ] [Hu, Yuping]Zhengzhou Univ, Sch Math & Stat, Zhengzhou, Peoples R China
  • [ 2 ] [Wang, Yilun]Zhengzhou Univ, Sch Math & Stat, Zhengzhou, Peoples R China
  • [ 3 ] [Zhang, Liying]Zhengzhou Univ, Sch Math & Stat, Zhengzhou, Peoples R China
  • [ 4 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

Reprint Author's Address:

  • [Zhang, Liying]Zhengzhou Univ, Sch Math & Stat, Zhengzhou, Peoples R China

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Source :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

Year: 2021

Issue: 14

Volume: 52

Page: 4960-4980

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:31

JCR Journal Grade:4

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: 4

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