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Exogenous impact and conditional quantile functions

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  • Andrew Chesher

    (Institute for Fiscal Studies and University College London)

Abstract

An exogenous impact function is defined as the derivative of a structural function with respect to an endogenous variable, other variables, including unobservable variables held fixed. Unobservable variables are fixed at specific quantiles of their marginal distributions. Exogenous impact functions reveal the impact of an exogenous shift in a variable perhaps determined endogenously in the data generating process. They provide information about the variation in exogenous impacts across quantiles of the distributions of the unobservable variables that appear in the structural model. This paper considers nonparametric identification of exogenous impact functions under quantile independence conditions. It is shown that, when valid instrumental variables are present, exogenous impact functions can be identified as functionals of conditional quantile functions that involve only observable random variables. This suggests parametric, semiparametric and nonparametric strategies for estimating exogenous impact functions.

Suggested Citation

  • Andrew Chesher, 2001. "Exogenous impact and conditional quantile functions," CeMMAP working papers CWP01/01, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    • Handle: RePEc:ifs:cemmap:01/01
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    References listed on IDEAS

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    Cited by:

    1. Ma, Lingjie & Koenker, Roger, 2006. "Quantile regression methods for recursive structural equation models," Journal of Econometrics, Elsevier, vol. 134(2), pages 471-506, October.
    2. Chesher, Andrew, 2007. "Instrumental values," Journal of Econometrics, Elsevier, vol. 139(1), pages 15-34, July.
    3. Brunello, Giorgio & Fabbri, Daniele & Fort, Margherita, 2009. "Years of Schooling, Human Capital and the Body Mass Index of European Females," IZA Discussion Papers 4667, Institute of Labor Economics (IZA).
    4. Giorgio Brunello & Margherita Fort & Guglielmo Weber, 2009. "Changes in Compulsory Schooling, Education and the Distribution of Wages in Europe," Economic Journal, Royal Economic Society, vol. 119(536), pages 516-539, March.
    5. Brunello, Giorgio & Fort, Margherita & Weber, Guglielmo, 2007. "“For One More Year with You”: Changes in Compulsory Schooling, Education and the Distribution of Wages in Europe," IZA Discussion Papers 3102, Institute of Labor Economics (IZA).

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    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General

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