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作者:

Yang, Yiping (Yang, Yiping.) | Xue, Liugen (Xue, Liugen.) (学者:薛留根) | Cheng, Weihu (Cheng, Weihu.) (学者:程维虎)

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EI Scopus SCIE CSCD

摘要:

A partial linear model with missing response variables and error-prone covariates is considered. The imputation approach is developed to estimate the regression coefficients and the nonparametric function. The proposed parametric estimators are shown to be asymptotically normal, and the estimators for the nonparametric part are proved to converge at an optimal rate. To construct confidence regions for the regression coefficients and the nonparametric function, respectively, the authors also propose the empirical-likelihood-based statistics and investigate the limit distributions of the empirical likelihood ratios. The simulation study is conducted to compare the finite sample behavior for the proposed estimators. An application to an AIDS dataset is illustrated.

关键词:

chi(2)-distribution Empirical likelihood imputation approach measurement error partial linear model

作者机构:

  • [ 1 ] [Yang, Yiping]Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
  • [ 2 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Cheng, Weihu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • [Yang, Yiping]Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

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来源 :

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY

ISSN: 1009-6124

年份: 2011

期: 6

卷: 24

页码: 1165-1182

2 . 1 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:84

JCR分区:4

中科院分区:4

被引次数:

WoS核心集被引频次: 5

SCOPUS被引频次: 5

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

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