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Empirical Likelihood-Based Inference in Conditional Moment Restriction Models

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Author Info
Yuichi Kitamura (Department of Economics, University of Wisconsin)
Gautam Tripathi (Department of Economics, University of Wisconsin)
Hyungtaik Ahn (Department of Economics, Dongguk University)

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Abstract

This paper proposes an asymptotically efficient method for estimating models with conditional moment restrictions. Our estimator generalizes the maximum empirical likelihood estimator (MELE) of Qin and Lawless (1994). Using a kernel smoothing method, we efficiently incorporate the information implied by the conditional moment restrictions into our empirical likelihood-based procedure. This yields a one-step estimator which avoids estimating optimal instruments. Our likelihood ratio-type statistic for parametric restrictions does not require the estimation of variance, and achieves asymptotic pivotalness implicitly. The estimation and testing procedures we propose are normalization invariant. Simulation results suggest that our new estimator works remarkably well in finite samples.

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Publisher Info
Paper provided by CIRJE, Faculty of Economics, University of Tokyo in its series CIRJE F-Series with number CIRJE-F-124.

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Length: 42 pages
Date of creation: Jul 2001
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Handle: RePEc:tky:fseres:2001cf124

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  1. Patrick Gagliardini & C. Gourieroux & E. Renault, 2005. "Efficient Derivative Pricing by Extended Method of Moments," University of St. Gallen Department of Economics working paper series 2005 2005-05, Department of Economics, University of St. Gallen. [Downloadable!]
  2. Taisuke Otsu & Yoon-Jae Whang, 2005. "Testing for Non-nested Conditional Moment Retrictions via Conditional Empirical Likelihood," Cowles Foundation Discussion Papers 1533, Cowles Foundation, Yale University. [Downloadable!]
  3. Seik Kim, . "Sample Attrition in the presence of Population Attrition," Working Papers UWEC-2009-02, University of Washington, Department of Economics. [Downloadable!]
  4. Hélène Bonnal & Éric Renault, 2004. "On the Efficient Use of the Informational Content of Estimating Equations: Implied Probabilities and Euclidean Empirical Likelihood," CIRANO Working Papers 2004s-18, CIRANO. [Downloadable!]
  5. Seik Kim, . "Economic Assimilation of Foreign-Born Workers in the United States: An Overlapping Rotating Panel Analysis," Working Papers UWEC-2008-19, University of Washington, Department of Economics. [Downloadable!]
  6. Guido W. Imbens & Whitney Newey & Geert Ridder, 2006. "Mean-squared-error Calculations for Average Treatment Effects," IEPR Working Papers 06.57, Institute of Economic Policy Research (IEPR). [Downloadable!]
  7. Mehmet Caner, 2005. "Exponential Tilting With Weak Instruments," Working Papers 208, University of Pittsburgh, Department of Economics, revised Jan 2005. [Downloadable!]
  8. Moon, Hyungsik Roger & Schorfheide, Frank, 2006. "Boosting Your Instruments: Estimation with Overidentifying Inequality Moment Conditions," CEPR Discussion Papers 5605, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  9. Giuseppe Ragusa, 2008. "Minimum Divergence, Generalized Empirical Likelihoods, and Higher Order Expansions," Working Papers 080906, University of California-Irvine, Department of Economics. [Downloadable!]
  10. Chunrong Ai & Xiaohong Chen, 2009. "Semiparametric Efficiency Bound for Models of Sequential Moment Restrictions Containing Unknown Functions," Cowles Foundation Discussion Papers 1731, Cowles Foundation, Yale University. [Downloadable!]
  11. Ke-Li Xu & Peter C.B. Phillips, 2006. "Adaptive Estimation of Autoregressive Models with Time-Varying Variances," Cowles Foundation Discussion Papers 1585, Cowles Foundation, Yale University. [Downloadable!]
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  12. 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. [Downloadable!]
  13. Richard Smith, 2005. "Efficient information theoretic inference for conditional moment restrictions," CeMMAP working papers CWP14/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
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  14. Naoto Kunitomo & Takashi Owada, 2004. "Empirical Likelihood Estimation of Levy Processes (Revised: March 2005)," CIRJE F-Series CIRJE-F-272, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  15. Naoto Kunitomo & Yukitoshi Matsushita, 2003. "Asymptotic Expansions of the Distributions of Semi-Parametric Estimators in a Linear Simultaneous Equations System," CIRJE F-Series CIRJE-F-237, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  16. Richard Smith, 2005. "Local GEL methods for conditional moment restrictions," CeMMAP working papers CWP15/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  17. Taisuke Otsu & Myung Hwan Seo & Yoon-Jae Whang, 2008. "Testing for Non-Nested Conditional Moment Restrictions Using Unconditional Empirical Likelihood," Cowles Foundation Discussion Papers 1660, Cowles Foundation, Yale University. [Downloadable!]
  18. Naoto Kunitomo, 2002. "Improving Small Sample Properties of the Empirical Likelihood Estimation," CIRJE F-Series CIRJE-F-184, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  19. Arthur Lewbel, 2003. "Using Heteroskedasticity to Identify and Estimate Mismeasured and Endogenous Regressor Models," Boston College Working Papers in Economics 587, Boston College Department of Economics, revised 27 Nov 2007. [Downloadable!]
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