An Invitation to Statistics in Wasserstein Space
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.
الكلمات المفتاحية: 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