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Finite Sample Limited Information Inference Methods for Structural Equations and Models with Generated Regressors

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Author Info
Dufour, Jean-Marie
Jasiak, Joann

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Abstract

We propose exact tests and confidence sets for various structural models typically estimated by IV methods, such as models with unobserved regressors, which remain valid despite the presence of identification problems or weak instruments. Two approaches are considered: (1) an instrument substitution method, which generalizes the Anderson-Rubin procedure, and (2) a sample-split method, that allows the use of "generated regressors." Projection techniques are also proposed for inference on general parameter transformations. The asymptotic theory of the tests under weaker assumptions is discussed. Simulation results are presented. The suggested techniques are applied to a model of Tobin's q and to a model of academic performance.

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Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 42 (2001)
Issue (Month): 3 (August)
Pages: 815-43
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Handle: RePEc:ier:iecrev:v:42:y:2001:i:3:p:815-43

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  1. Jean-Marie Dufour, 2001. "Logiques et tests d'hypothèses : réflexions sur les problèmes mal posés en économétrie," CIRANO Working Papers 2001s-40, CIRANO. [Downloadable!]
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  2. Aviv Nevo & Adam M. Rosen, 2008. "Identification with Imperfect Instruments," NBER Working Papers 14434, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Charlotta Groth & Hashmat Khan, . "Investment adjustment costs: evidence from UK and US industries," Bank of England working papers 332, Bank of England. [Downloadable!]
  4. Jean-Marie Dufour & Lynda Khalaf & Maral Kichian, 2005. "Inflation Dynamics and the New Keynesian Phillips Curve: an Identification Robust Econometric Analysis," CIRANO Working Papers 2005s-30, CIRANO. [Downloadable!]
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  5. Lynda Khalaf & Maral Kichian, 2004. "Estimating New Keynesian Phillips Curves Using Exact Methods," Working Papers 04-11, Bank of Canada. [Downloadable!]
  6. Donald W.K. Andrews & Vadim Marmer, 2005. "Exactly Distribution-free Inference in Instrumental Variables Regression with Possibly Weak Instruments," Cowles Foundation Discussion Papers 1501, Cowles Foundation, Yale University. [Downloadable!]
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  7. Richard A. Ashley., 2006. "Assessing the Credibility of Instrumental Variables Inference With Imperfect Instruments Via Sensitivity Analysis," Working Papers e06-9, Virginia Polytechnic Institute and State University, Department of Economics. [Downloadable!]
  8. Bunzel, Helle & Iglesias, Emma M., 2006. "Testing for Breaks Using Alternating Observations," Staff General Research Papers 12694, Iowa State University, Department of Economics. [Downloadable!]
  9. DUFOUR, Jean-Marie, 2005. "Monte Carlo Tests with Nuisance Parameters: A General Approach to Finite-Sample Inference and Nonstandard Asymptotics," Cahiers de recherche 2005-03, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
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  10. Khalaf, Lynda & Kichian, Maral, 2003. "Are New Keynesian Phillips Curved Identified?," Cahiers de recherche 0312, GREEN. [Downloadable!]
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  11. Donald W.K. Andrews & James H. Stock, 2005. "Inference with Weak Instruments," Cowles Foundation Discussion Papers 1530, Cowles Foundation, Yale University. [Downloadable!]
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  12. Axel Börsch-Supan & Moshe Ben-Akiva & Kenneth Train & Daniel McFadden, 2002. "Hybrid Choice Models: Progress and Challenges," MEA discussion paper series 02009, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
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  13. Patrik Guggenberger, 2006. "The limit of finite sample size and a problem with subsampling (joint with D.W.K. Andrews), June 2005, this version March 2007," UCLA Economics Online Papers 372, UCLA Department of Economics. [Downloadable!]
  14. Saraswata Chaudhuri & Eric Zivot, 2008. "A new method of projection-based inference in GMM with weakly identified nuisance parameters," Working Papers UWEC-2008-26, University of Washington, Department of Economics. [Downloadable!]
  15. Yilmazkuday, Hakan, 2009. "Is there a Role for International Trade Costs in Explaining the Central Bank Behavior?," MPRA Paper 15951, University Library of Munich, Germany. [Downloadable!]
  16. Marie-Claude Beaulieu & Lynda Khalaf & Marie-Hélène Gagnon, 2006. "Testing Financial Integration: Finite Sample Motivated Mothods," Computing in Economics and Finance 2006 233, Society for Computational Economics. [Downloadable!]
  17. Jean-Marie Dufour & Lynda Khalaf & Maral Kichian, 2009. "Assessing Indexation-Based Calvo Inflation Models," Working Papers 09-7, Bank of Canada. [Downloadable!]
  18. M. Ege Yazgan & Hakan Yilmazkuday, 2007. "Monetary policy rules in practice: evidence from Turkey and Israel," Applied Financial Economics, Taylor and Francis Journals, vol. 17(1), pages 1-8, January. [Downloadable!] (restricted)
  19. Jean-Marie Dufour & Abderrahim Taamouti, 2008. "Exact optimal and adaptive inference in regression models under heteroskedasticity and non-normality of unknown forms," Economics Working Papers we086027, Universidad Carlos III, Departamento de Economía. [Downloadable!]
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