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Identification and Estimation of Triangular Simultaneous Equations Models without Additivity

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Author Info
Whitney Newey
Guido Imbens

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Abstract

This paper is about identification and estimation in a triangular nonparametric structural model with instrumental variables and non-additive errors. Identification and estimation is based on a control function consisting of the conditional distribution function of the endogenous variable given the instruments. We allow for a structural disturbance of arbitrary, unknown dimension while identifying interesting structural effects, such as quantile and average effects. We consider a two-step approach to estimation. We find that the convergence rate for the second-step structural estimator depends on the strength of the instrument.

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Paper provided by Econometric Society in its series Econometric Society 2004 North American Summer Meetings with number 594.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:nasm04:594

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Related research
Keywords: nonparametric endogeneity; control function; identification;

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Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. C. Lanier Benkard & Patrick Bajari, 2004. "Demand Estimation with Heterogeneous Consumers and Unobserved Product Characteristics: A Hedonic Approach," NBER Working Papers 10278, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Lingjie Ma & Roger Koenker, 2004. "Quantile regression methods for recursive structural equation models," CeMMAP working papers CWP01/04, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  3. Sokbae Lee, 2004. "Endogeneity in Quantile Regression Models: A Control Function Approach," Econometric Society 2004 North American Summer Meetings 521, Econometric Society. [Downloadable!]
    Other versions:
  4. Patrick Bajari & C. Lanier Benkard, 2001. "Demand Estimation With Heterogeneous Consumers and Unobserved Product Characteristics: A Hedonic Approach," NBER Technical Working Papers 0272, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Woocheol Kim, 2004. "Identification And Estimation Of Nonparametric Structural," Econometric Society 2004 Far Eastern Meetings 733, Econometric Society. [Downloadable!]
  6. Patrick Bajari & C. Lanier Benkard, 2001. "Demand Estimation With Heterogeneous Consumers and Unobserved Product Characteristics: A Hedonic Approach," Working Papers 01010, Stanford University, Department of Economics. [Downloadable!]
  7. Christopher Timmins & Jennifer Murdock, 2006. "A Revealed Preference Approach to the Measurement of Congestion in Travel Cost Models," Working Papers tecipa-213, University of Toronto, Department of Economics. [Downloadable!]
  8. Daniel McFadden, 2009. "The human side of mechanism design: a tribute to Leo Hurwicz and Jean-Jacque Laffont," Review of Economic Design, Springer, vol. 13(1), pages 77-100, April. [Downloadable!] (restricted)
  9. Arthur Lewbel, 2006. "Modeling Heterogeneity," Boston College Working Papers in Economics 650, Boston College Department of Economics. [Downloadable!]
  10. C. Lanier Benkard & Steven Berry, . "On the Nonparametric Identification of Nonlinear Simultaneous Equations Models: comment on B. Brown (1983) and Roehrig (1988)," Cowles Foundation Discussion Papers 1482, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  11. Markus Frölich, 2006. "A Note on Parametric and Nonparametric Regression in the Presence of Endogenous Control Variables," IZA Discussion Papers 2126, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
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