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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.
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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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