Asymptotic Expansions of the Distributions of Semi-Parametric Estimators in a Linear Simultaneous Equations System
Asymptotic expansions are made of the distributions of a class of semi-parametric estimators including the Maximum Empirical Likelihood (MEL) method and the Generalized Method of Moments (GMM) for the coefficients of a single structural equation in the linear simultaneous equations system. The expansions in terms of the sample size, when the non-centrality parameters increase proportionally, are carried out to the order of O(n-2). Comparisons of the distributions of the MEL and GMM estimators are also made.
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- Yuichi Kitamura & Gautam Tripathi & Hyungtaik Ahn, 2001.
"Empirical Likelihood-Based Inference in Conditional Moment Restriction Models,"
CIRJE-F-124, CIRJE, Faculty of Economics, University of Tokyo.
- Yuichi Kitamura & Gautam Tripathi & Hyungtaik Ahn, 2004. "Empirical Likelihood-Based Inference in Conditional Moment Restriction Models," Econometrica, Econometric Society, vol. 72(6), pages 1667-1714, November.
- Naoto Kunitomo & Yukitoshi Matsushita, 2003. "On Finite Sample Distributions of the Empirical Likelihood Estimator and the GMM Estimator," CIRJE F-Series CIRJE-F-200, CIRJE, Faculty of Economics, University of Tokyo.
- Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
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