An Invitation to Statistics in Wasserstein Space

Dublin Core

Title

An Invitation to Statistics in Wasserstein Space

Subject

Probability & statistics

Description

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).

Creator

Panaretos, Victor M.
Zemel, Yoav

Source

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

Publisher

Springer Nature

Date

2020

Contributor

Baihaqi

Rights

Creative Commons

Format

PDF

Language

English

Type

Textbooks

Files

2020_Book_AnInvitationToStatisticsInWass.pdf.jpg

Citation

Panaretos, Victor M. Zemel, Yoav, “An Invitation to Statistics in Wasserstein Space,” Open Educational Resource (OER) - USK Library, accessed June 15, 2024, http://uilis.usk.ac.id/oer/items/show/7625.

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