Hallin, Marc; Chernozhukov, Victor; Galichon, Alfred; … - European Centre for Advanced Research in Economics and … - 2015
We propose new concepts of statistical depth, multivariate quantiles,ranks and signs, based on canonical transportation maps between a distributionof interest on IRd and a reference distribution on the d-dimensionalunit ball. The new depth concept, called Monge-Kantorovich depth, specializesto...