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Empirical Likelihood Methods in Econometrics: Theory and Practice

Yuichi Kitamura
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Yuichi Kitamura: Department of Economics, Yale University

No CIRJE-F-430, CIRJE F-Series from CIRJE, Faculty of Economics, University of Tokyo

Abstract: Recent developments in empirical likelihood (EL) methods are reviewed. First, to put the method inperspective, two interpretations of empirical likelihood are presented, one as a nonparametric maximum likelihood estimation method (NPMLE) and the other as a generalized minimum contrast estimator(GMC). The latter interpretation provides a clear connection between EL, GMM, GEL and other related estimators. Second, EL is shown to have various advantages over other methods. The theory of large deviations demonstrates that EL emerges naturally in achieving asymptotic optimality both for estimation and testing. Interestingly, higher order asymptotic analysis also suggests that EL is generally a preferred method. Third, extensions of EL are discussed in various settings, including estimation of conditional moment restriction models, nonparametric specification testing and time series models. Finally, practical issues in applying EL to real data, such as computational algorithms for EL, are discussed. Numerical examples to illustrate the efficacy of the method are presented.

Pages: 67pages
Date: 2006-06
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (21)

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