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引用本文:�ž����Ϲ�����h�ֺ���. �������Բ������ģ���еĹ�������[J]. 应用概率统计, 2018, 34(1): 8-20. DOI: 10.3969/j.issn.1001-4268.2018.01.002
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Estimation for Partially Linear Errors-in-Variable Models
ZHANG JunZHOU NanGuangCHU TianYueLIN HanLing. Estimation for Partially Linear Errors-in-Variable Models[J]. Chinese Journal of Applied Probability and Statisties, 2018, 34(1): 8-20. DOI: 10.3969/j.issn.1001-4268.2018.01.002
Authors:ZHANG JunZHOU NanGuangCHU TianYueLIN HanLing
Affiliation:College of Mathematics and Statistics,Shenzhen University, Shenzhen, 518060, China Shen Zhen-Hong Kong Joint Research Center;for Applied Statistical Sciences Shenzhen University, Shenzhen, 518060, China Institute of Statistical Sciences, Shenzhen;University, Shenzhen, 518060, China
Abstract:
In this paper, we consider the estimation problemfor partially linear models with additive measurement errors in thenonparametric part. Two kinds of estimators are proposed. The first oneis an integral moment-based estimator with deconvolution kernel techniques,associated with the strong consistency for the estimator. Another oneis a simulation-based estimator to avoid the integrals involved in theintegral moment-based estimator. Simulation studies are conducted toexamine the performance of the proposed estimators.
Keywords:deconvolution  errors-in-variables   partial linear models   replicated measurement error data  
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