Crudu, Federico and Sándor, Zsolt (2011): On the finite-sample properties of conditional empirical likelihood estimators.
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We provide Monte Carlo evidence on the finite sample behavior of the conditional empirical likelihood (CEL) estimator of Kitamura, Tripathi, and Ahn (2004) and the conditional Euclidean empirical likelihood (CEEL) estimator of Antoine, Bonnal, and Renault (2007) in the context of a heteroskedastic linear model with an endogenous regressor. We compare these estimators with three heteroskedasticity-consistent instrument-based estimators in terms of various performance measures. Our results suggest that the CEL and CEEL with fixed bandwidths may suffer from the no-moment problem, similarly to the unconditional generalized empirical likelihood estimators studied by Guggenberger (2008). We also study the CEL and CEEL estimators with automatic bandwidths selected through cross-validation. We do not find evidence that these suffer from the no-moment problem. When the instruments are weak, we find CEL and CEEL to have finite sample properties --in terms of mean squared error and coverage probability of confidence intervals-- poorer than the heteroskedasticity-consistent Fuller (HFUL) estimator. In the strong instruments case the CEL and CEEL estimators with automatic bandwidths tend to outperform HFUL in terms of mean squared error, while the reverse holds in terms of the coverage probability, although the differences in numerical performance are rather small.
|Item Type:||MPRA Paper|
|Original Title:||On the finite-sample properties of conditional empirical likelihood estimators|
|Keywords:||Conditional empirical likelihood; conditional Euclidean likelihood; heteroskedasticity; weak instruments; cross-validation|
|Subjects:||C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General
C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General
C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General
C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models; Multiple Variables > C30 - General
|Depositing User:||Federico Crudu|
|Date Deposited:||14. Oct 2011 22:21|
|Last Modified:||14. Feb 2013 13:57|
Antoine, B., H. Bonnal, E. Renault (2007): On the Efficient Use of the Informational Content of Estimating Equations: Implied Probabilities and Euclidean Empirical Likelihood, Journal of Econometrics, 138, 461-487.
Domínguez, M. A., I. N. Lobato (2004): Consistent Estimation of Models Defined by Conditional Moment Restrictions, Econometrica, 72, 1601-1615.
Fiebig, D. G. (1985): Evaluating Estimators without Moments, The Review of Economics and Statistics, 67, 529-534.
Fuller, W. A. (1977): Some Properties of a Modification of the Limited Information Estimator, Econometrica, 45, 939-953.
Gospodinov, N. and T. Otsu (2009): Local GMM Estimation of Time Series Models with Conditional Moment Restrictions, forthcoming Journal of Econometrics.
Guggenberger, P. (2008): Finite Sample Evidence Suggesting a Heavy Tail Problem of the Generalized Empirical Likelihood Estimator, Econometric Reviews, 27, 526-541.
Hansen, L. P. J. Heaton, A. Yaron (1996): Finite-Sample Properties of Some Alternative GMM Estimators, Journal of Business and Economic Statistics, 14, 262-280.
Hausman, J. A., W. K. Newey, T. Woutersen, J. Chao, N. Swanson (2010): Instrumental Variable Estimation with Heteroskedasticity and Many Instruments, mimeo.
Kitamura, Y., G. Tripathi, H. Ahn (2004): Empirical Likelihood-Based Inference in Conditional Moment Restriction Models, Econometrica, 72, 1667-1714.
Lavergne, P. and V. Patilea (2009): Smooth Minimum Distance Estimation and Testing in Conditional Moment Restrictions Models: Uniform in Bandwidth Theory, mimeo.
Newey, W. K. (1993): Efficient Estimation of Models with Conditional Moment Restrictions, in Handbook of Statistics, 11, ed. by G. Maddala, C. Rao, and H. Vinod, Elsevier, 2111-2245.
Smith, R. J. (2007): Efficient Information Theoretic Inference for Conditional Moment Restrictions, Journal of Econometrics, 138, 430-460.
Tripathi, G., Y. Kitamura (2003): Testing Conditional Moment Restrictions, The Annals of Statistics, 31, 2059-2095.
White, H. (1980): A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity, Econometrica, 48, 817-838.