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Nonparametric identification under discrete variation
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DOI：10.1111/j.1468-0262.2005.00628.x.png)
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Abstract
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This paper provides weak conditions under which there is nonparametric interval identification of local features of a structural function that depends on a discrete endogenous variable and is nonseparable in latent variates. The function delivers values of a discrete or continuous outcome and instruments may be discrete valued. Application of the analog principle leads to quantile regression based interval estimators of values and partial differences of structural functions. The results are used to investigate the nonparametric identifying power of the quarter-of-birth instruments used in Angrist and Krueger's 1991 study of the returns to schooling.
Keywords:
endogeneity
nonparametric models
discrete endogenous variables
partial identification
weak instruments
quantile regression
control function methods
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