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A first-stage representation for instrumental variables quantile regression
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NETL
NSTL
Oxford Univ Press
This paper develops a first-stage linear regression representation for an instrumental variables (Ⅳ) quantile regression (QR) model. The quantile first stage is analogous to the least-squares case, i.e., a linear projection of the endogenous variables on the instruments and other exogenous covariates, with the difference that the QR case is a weighted projection. The weights are given by the conditional density function of the innovation term in the QR structural model, at a given quantile. We also show that the required Jacobian identification conditions for IVQR models are embedded in the quantile first stage. We then suggest procedures to evaluate the validity of instruments by evaluating their statistical significance using the first-stage representation. Monte Carlo experiments provide numerical evidence that the proposed tests work as expected in terms of empirical size and power. An empirical application illustrates the methods.
first stageinstrumental variablesquantile regression
JAVIER ALEJO、ANTONIO F. GALVAO、GABRIEL MONTES-ROJAS
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IECON-Universidad de la Republica, Montevideo, Uruguay
Michigan State University, East Lansing, USA
CONICET and IIEP-BAIRES, Universidad de Buenos Aires, CABA, Argentina
NETL
NSTL
Oxford Univ Press
