An Invitation to Statistics in Wasserstein Space

An Invitation to Statistics in Wasserstein Space

Probability & statistics

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 fundamentals of this current topic, as well as an overview that will serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic in mathematical statistics, situated at the interface between functional data analysis (where the data are functions, thus lying in infinite dimensional Hilbert space) and non-Euclidean statistics (where the data satisfy nonlinear constraints, thus lying on non-Euclidean manifolds).

Panaretos, Victor M.
Zemel, Yoav

https://library.oapen.org/bitstream/handle/20.500.12657/37704/2020_Book_AnInvitationToStatisticsInWass.pdf?sequence=1

Springer Nature

2020

Baihaqi

Creative Commons

PDF

English

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