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Author:

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

Indexed by:

EI Scopus SCIE CSCD

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY

ISSN: 1009-6124

Year: 2011

Issue: 6

Volume: 24

Page: 1165-1182

2 . 1 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 5

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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