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An Invitation to Statistics in Wasserstein Space

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This open access 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. Further to reviewing state-of-the-art aspects, it also provides an accessible introduction to the fundame...

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Bibliographic Details
Main Author: Panaretos, Victor M. (auth)
Other Authors: Zemel, Yoav (auth)
Format: Electronic Book Chapter
Language:English
Published: Cham Springer Nature 2020
Series:SpringerBriefs in Probability and Mathematical Statistics
Subjects:
Probability & statistics
Probability Theory and Stochastic Processes
Optimal Transportation
Monge-Kantorovich Problem
Barycenter
Multimarginal Transport
Functional Data Analysis
Point Processes
Random Measures
Manifold Statistics
Open Access
Geometrical statistics
Wasserstein metric
Fréchet mean
Procrustes analysis
Phase variation
Gradient descent
Stochastics
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