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Author:

Wang, Xiaoying (Wang, Xiaoying.) | Sun, Xiaoqian (Sun, Xiaoqian.) | Du, Jiang (Du, Jiang.) | Liu, Kaiyuan (Liu, Kaiyuan.)

Indexed by:

Scopus SCIE

Abstract:

Partially linear varying coefficient spatial autoregressive (PLVCSAR) models are powerful tools for analyzing data with complex features such as non-linearity, interactions between predictors, and spatial dependence. This paper studies the estimation of the PLVCSAR model by combining the profile quasi-maximum likelihood method and the spline approximation technique. Estimations of the constant coefficients, function coefficients, variance of the error term, and the spatial lag parameter are proposed. Under mild conditions, the asymptotic properties of the proposed estimators are established. Simulation studies and real data analysis of Boston housing data illustrate the finite sample performances of the proposed estimators.

Keyword:

Profile maximum likelihood Asymptotic properties Spatial dependence Polynomial splines

Author Community:

  • [ 1 ] [Wang, Xiaoying]North China Elect Power Univ, Sch Math & Phys, Beijing, Peoples R China
  • [ 2 ] [Sun, Xiaoqian]Beijing Univ Technol, Fac Sci, Beijing, Peoples R China
  • [ 3 ] [Du, Jiang]Beijing Univ Technol, Fac Sci, Beijing, Peoples R China
  • [ 4 ] [Liu, Kaiyuan]Beijing Univ Technol, Fac Sci, Beijing, Peoples R China
  • [ 5 ] [Sun, Xiaoqian]AVIC Res Inst Special Struct Aeronaut Composites C, Jinan, Peoples R China

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Source :

STATISTICS AND ITS INTERFACE

ISSN: 1938-7989

Year: 2024

Issue: 3

Volume: 17

Page: 371-382

0 . 8 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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