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Quantile Regression under Misspecification, with an Application to the U.S. Wage Structure

Quantile Regression under Misspecification, with an Application to the U.S. Wage Structure

Quantile regression (QR) fits a linear model for conditional quantiles, just as ordinary least squares (OLS) fit a linear model for conditional means. An attractive feature of OLS is that it gives the minimum mean square error linear approximation to the conditional expectation function even when the linear model is …