Quantile regression with sample selection: Estimating women's return to education in the U.S.

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On the Drivers of Eco-Innovations: Empirical Evidence from the UK (2012, background): “While there are examples of quantile regression models that include a selection equation (Buchinsky, 2001), this theoretically poses a conflict between the main equation and the selection equation since the Heckman model evaluates the results at the mean and not at different quartiles.”
Using quantile regression for duration analysis (2006, background): “selection bias, an issue which has only be analyzed under much simpler circumstances for quantile regression ( Buchinsky, 2001 ).”
The Gender Pay Gap In Vietnam, 1993-2002: A Quantile Regression Approach (2007, methodology): “In addition, the techniques required to correct for selectivity bias in quantile regression models are less well developed, though Buchinsky (2001) suggests an approach that exploits the work of Newey (1999).”
The Gender Gap between Earnings Distributions (2019, background): “There are two popular IVs for the participation equation, husband’s income and the presence of young children (e.g., Buchinsky 2001;Martins 2001;Mulligan andRubinstein 2008; Chang 2011; Machado 2012).”