We study the problem of estimating the parameters of a linear median regression without any assumption on the shape of the error distribution -- including no condition on the existence of moments -- allowing for heterogeneity (or heteroskedasticity) of unknown form, noncontinuous distributions,...

In France, in 2014, women's hourly wages were on average 14.4 % lower than men's. Beyond differentials in observed characteristics, is this gap explained by segregation of women in low-wage firms, or by gender inequality within a given firm? To answer that question, we apply the approach of...