Carlier, Guillaume; Chernozhukov, Victor; Galichon, Alfred - 2015 - This draft: September 19, 2015
We propose a notion of conditional vector quantile function and a vector quantile regression. A conditional vector … quantile function (CVQF) of a random vector Y, taking values in Rd given covariates Z=z, taking values in Rk, is a map u --> QY … version of the classical QR, and CVQF reduces to the scalar conditional quantile function. An application to multiple Engel …