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Empirical likelihood for semiparametric regression model with missing response data
Xue Liugen * #
College of Applied Sciences, Beijing University of
*Correspondence author
#Submitted by
Subject:
Funding: 高等学校博士学科点专项科研基金,国家自然科学基金,北京市自然科学基金(No.20070005003,10871013,1072004)
Opened online: 3 March 2009
Accepted by: none
Citation: Xue Liugen.Empirical likelihood for semiparametric regression model with missing response data[OL]. [ 3 March 2009] http://en.paper.edu.cn/en_releasepaper/content/29843
 
 
A bias-corrected technique for constructing empirical likelihood ratio is used to study a semiparametric regression model with missing response data. We are interested in inference for the regression coefficients, the baseline function and the response mean. A class of empirical likelihood ratio functions for the parameters of interest are defined so that the undersmoothing for estimating the baseline function is avoided, and the existing data-driven algorithm is also valid for selecting an optimal bandwidth. Our approach is to directly calibrate the empirical log-likelihood ratio so that the resulting ratio is asymptotically chi-squared. Also, a class of estimators for the parameters of interest are constructed, their asymptotic distributions are obtained, and the consistent estimators of asymptotic bias and variance are provided. Our results can be used to construct the confidence intervals for the parameters of interest. A simulation study is undertaken to compare the empirical likelihood with the normal approximation-based method in terms of coverage accuracies and average lengths of confidence intervals.
Keywords:Confidence interval;Empirical likelihood;Missing response data; Regression coefficient;Semiparametric regression model
 
 
 

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