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Identifying Structural Effects in Nonseparable Systems Using Covariates

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  • Halbert White

    (University of California-San Diego)

  • Karim Chalak

    ()
    (Boston College)

Abstract

This paper demonstrates the extensive scope of an alternative to standard instrumental variables methods, namely covariate-based methods, for identifying and estimating effects of interest in general structural systems. As we show, commonly used econometric methods, specifically parametric, semi-parametric, and nonparametric extremum or moment-based methods, can all exploit covariates to estimate well-identified structural e§ects. The systems we consider are general, in that they need not impose linearity, separability, or monotonicity restrictions on the structural relations. We consider effects of multiple causes; these may be binary, categorical, or continuous. For continuous causes, we examine both marginal and non-marginal effects. We analyze effects on aspects of the response distribution generally, designed by explicit or implicit moments or as optimizers (e.g., quantiles). Key for identification is a specific conditional exogeneity relation. We examine what happens in its absence and find that identification generally fails. Nevertheless, local and near identification results hold in its absence, as we show.

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Bibliographic Info

Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 734.

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Date of creation: 16 Oct 2008
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Handle: RePEc:boc:bocoec:734

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Related research

Keywords: conditional exogeneity; extremum estimator; identification; method of moments; nonparametric estimation; structural equations.;

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References

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Cited by:
  1. Huang, Meng & Sun, Yixiao & White, Hal, 2013. "A Flexible Nonparametric Test for Conditional Independence," University of California at San Diego, Economics Working Paper Series qt3pt89204, Department of Economics, UC San Diego.
  2. Stefan Hoderlein & Halbert White, 2009. "Nonparametric Identification in Nonseparable Panel Data Models with Generalized Fixed Effects," Boston College Working Papers in Economics 746, Boston College Department of Economics.
  3. Halbert White & Karim Chalak, 2010. "Testing a Conditional Form of Exogeneity," Boston College Working Papers in Economics 733, Boston College Department of Economics.
  4. Schennach, Susanne & White, Halbert & Chalak, Karim, 2012. "Local indirect least squares and average marginal effects in nonseparable structural systems," Journal of Econometrics, Elsevier, vol. 166(2), pages 282-302.

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