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Empirical Likelihood Confidence Intervals for Linear Regression Coefficients

✍ Scribed by S.X. Chen


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
527 KB
Volume
49
Category
Article
ISSN
0047-259X

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✦ Synopsis


Nonparametric versions of Wilks' theorem are proved for empirical likelihood estimators of slope and mean parameters for a simple linear regression model. They enable us to construct empirical likelihood confidence intervals for these parameters. The coverage errors of these confidence intervals are of order (n^{-1}) and can be reduced to order (n^{-2}) by Bartlett correction. 1 1994 Academic Press. Inc.


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In this paper, we consider the application of the empirical likelihood method to partially linear model. Unlike the usual cases, we first propose an approximation to the residual of the model to deal with the nonparametric part so that Owen's (1990) empirical likelihood approach can be applied. Then