An Invitation to Statistics in Wasserstein Space
Publication year: 2020
ISBN: 978-3-030-38438-8
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This book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation.
Subject: Mathematics and Statistics, Probability Theory and Stochastic Processes, Optimal Transportation, Monge-Kantorovich Problem, Barycenter, Multimarginal Transport, Functional Data Analysis, Point Processes, Random Measures, Manifold Statistics, Geometrical statistics, Wasserstein metric, Fréchet mean, Procrustes analysis, Phase variation, Gradient descent
