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作者:

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

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SSCI Scopus SCIE

摘要:

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.

关键词:

Instrumental variable Oracle property Spatial autoregressive models Variable selection

作者机构:

  • [ 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

通讯作者信息:

  • [Cao, Ruiyuan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

电子邮件地址:

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来源 :

STATISTICAL PAPERS

ISSN: 0932-5026

年份: 2020

期: 3

卷: 61

页码: 1125-1145

1 . 3 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:15

JCR分区:2

被引次数:

WoS核心集被引频次: 31

SCOPUS被引频次: 32

ESI高被引论文在榜: 1 展开所有

  • 2020-11

万方被引频次:

中文被引频次:

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