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An Invitation to Statistics in Wasserstein Space

Victor M. Panaretos, Yoav Zemel

2020SpringerBriefs in probability and mathematical statistics164 citationsDOIOpen Access PDF

Abstract

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. It introduces the fundamentals of this topic while providing an overview to invite further research.

Topics & Concepts

Space (punctuation)Key (lock)Computer scienceProbability and statisticsMathematical statisticsStatisticsMathematicsComputer securityOperating systemGeometric Analysis and Curvature Flows