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Title: Inference based on measure transportation for directional data Authors:  Thomas Verdebout - Universite Libre de Bruxelles (Belgium) [presenting]
Marc Hallin - Universite Libre de Bruxelles (Belgium)
Hang Liu - University of Science and Technology of China (China)
Abstract: A concept of directional distribution function, ranks and signs based on measure transportation are proposed. We provide some theoretical properties of the corresponding empirical versions and show how goodness-of-fit tests can be obtained. Our results are illustrated with Monte-Carlo simulations.