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Cross Section and Panel Data Estimators for Nonseparable Models with Endogenous Regressors

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Author Info
Joseph G. Altonji
Rosa L. Matzkin

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Abstract

We propose two new methods for estimating models with nonseparable errors and endogenous regressors. The first method estimates a local average response. One estimates the response of the conditional mean of the dependent variable to a change in the explanatory variable while conditioning on an external variable and then undoes the conditioning. The second method estimates the nonseparable function and the joint distribution of the observable and unobservable explanatory variables. An external variable is used to impose an equality restriction, at two points of support, on the conditional distribution of the unobservable random term given the regressor and the external variable. Our methods apply to cross sections, but our lead examples involve panel data cases in which the choice of the external variable is guided by the assumption that the distribution of the unobservable variables is exchangeable in the values of the endogenous variable for members of a group. Copyright The Econometric Society 2005.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2005.00609.x
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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 73 (2005)
Issue (Month): 4 (07)
Pages: 1053-1102
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Handle: RePEc:ecm:emetrp:v:73:y:2005:i:4:p:1053-1102

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  1. Joseph G. Altonji & Hidehiko Ichimura & Taisuke Otsu, 2008. "Estimating Derivatives in Nonseparable Models with Limited Dependent Variables," Cowles Foundation Discussion Papers 1668, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  2. Hoderlein, Stefan & Winter, Joachim, 2009. "Structural Measurement Errors in Nonseparable Models," Discussion Papers in Economics 9192, University of Munich, Department of Economics. [Downloadable!]
  3. Arthur Lewbel, 2006. "Modeling Heterogeneity," Boston College Working Papers in Economics 650, Boston College Department of Economics. [Downloadable!]
  4. Bryan S. Graham & James Powell, 2008. "Identification and Estimation of 'Irregular' Correlated Random Coefficient Models," NBER Working Papers 14469, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Jürgen Maurer, 2008. "Who has a clue to preventing the flu? Unravelling supply and demand effects on the take-up of influenza vaccinations," MEA discussion paper series 08170, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
  6. Jürgen Maurer & Roger Klein & Francis Vella, 2007. "Subjective Health Assessments and Active Labor Market Participation of Older Men: Evidence from a Semiparametric Binary Choice Model with Nonadditive Correlated Individual-Specific Effects," IZA Discussion Papers 3257, Institute for the Study of Labor (IZA). [Downloadable!]
  7. Kyungchul Song, 2007. "Testing Conditional Independence via Rosenblatt Transforms," PIER Working Paper Archive 07-026, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
  8. Jürgen Maurer & Roger Klein & Francis Vella, 2008. "Subjective Health Assessments and Active Labor Market Participation of Older Men: Evidence from a Semiparametric Binary Choice Model with Nonadditive Correlated Individualspecific Effects," MEA discussion paper series 08169, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
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