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Author:

Ma, W.X. (Ma, W.X..) | Wu, M.X. (Wu, M.X..) | Luo, G.W. (Luo, G.W..)

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Scopus

Abstract:

In this paper, we study the estimation of the partial linear spatial autoregressive model with the response variable missing at random. Based on the nonparametric B-spline method, the marginal maximum Likelihood estimation and the EM algorithms for the maximum Likelihood estimation and the pseudo-restricted maximum Likelihood estimation are proposed, respectively. Numerical simulations are carried out under different sample sizes, missing rates and spatial weight matrix settings to compare the performances of the three methods. Finally, the effectiveness of the three estimation methods are verified by a real data analysis. © 2023 Chinese Academy of Sciences. All rights reserved.

Keyword:

Likelihood-based methods spatial autoregressive spline approximation EM algorithm missing data

Author Community:

  • [ 1 ] [Ma W.X.]School of Statistics and Data Science, Faculty of Science, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Wu M.X.]School of Statistics and Data Science, Faculty of Science, Beijing University of Technology, Beijing, 100124, China
  • [ 3 ] [Luo G.W.]College of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, China

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Source :

Acta Mathematica Sinica, Chinese Series

ISSN: 0583-1431

Year: 2023

Issue: 6

Volume: 66

Page: 1031-1044

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: 6

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