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Author:

Yu, Ping (Yu, Ping.) | Du, Jiang (Du, Jiang.) (Scholars:杜江) | Zhang, Zhongzhan (Zhang, Zhongzhan.) (Scholars:张忠占)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we propose a flexible single-index partially functional linear regression model, which combines single-index model with functional linear regression model. All the unknown functions are estimated by B-spline approximation. Under some mild conditions, the convergence rates and asymptotic normality of the estimators are obtained. Finally, simulation studies and a real data analysis are conducted to investigate the performance of the proposed methodologies.

Keyword:

Functional linear regression model B-spline Functional data analysis Single-index model

Author Community:

  • [ 1 ] [Yu, Ping]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Du, Jiang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 4 ] [Yu, Ping]Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041000, Shanxi, Peoples R China

Reprint Author's Address:

  • 张忠占

    [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

STATISTICAL PAPERS

ISSN: 0932-5026

Year: 2020

Issue: 3

Volume: 61

Page: 1107-1123

1 . 3 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count: 26

SCOPUS Cited Count: 25

ESI Highly Cited Papers on the List: 2 Unfold All

  • 2020-9
  • 2020-7

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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