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Author:

Xie, Tianfa (Xie, Tianfa.) | Cao, Ruiyuan (Cao, Ruiyuan.) | Du, Jiang (Du, Jiang.) (Scholars:杜江)

Indexed by:

SSCI Scopus SCIE

Abstract:

Variable selection has played a fundamental role in regression analysis. Spatial autoregressive model is a useful tool in econometrics and statistics in which context variable selection is necessary but not adequately investigated. In this paper, we consider conducting variable selection in spatial autoregressive models with a diverging number of parameters. Smoothly clipped absolute deviation penalty is considered to obtain the estimators. Moreover the dimension of the covariates are allowed to vary with sample size. In order to attenuate the bias caused by endogeneity, instrumental variable is adopted in the estimation procedure. The proposed method can do parametric estimation and variable selection simultaneously. Under mild conditions, we establish the asymptotic and oracle property of the proposed estimators. Finally, the performance of the proposed estimation procedure is examined via Monte Carlo simulation studies and a data set from a Boston housing price is analyzed as an illustrative example.

Keyword:

Instrumental variable Spatial autoregressive models Variable selection Oracle property

Author Community:

  • [ 1 ] [Xie, Tianfa]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Cao, Ruiyuan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Du, Jiang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Cao, Ruiyuan]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: 1125-1145

1 . 3 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count: 46

SCOPUS Cited Count: 45

ESI Highly Cited Papers on the List: 1 Unfold All

  • 2020-11

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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