Téléchargez le livre : An Invitation to Statistics in Wasserstein Space

An Invitation to Statistics in Wasserstein Space

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Springer


Collection :

SpringerBriefs in Probability and Mathematical Statistics

Paru le : 2020-03-10

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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). The Wasserstein space provides the natural mathematical formalism to describe data collections that are best modeled as random measures on Euclidean space (e.g. images and point processes). Such random measures carry the infinite dimensional traits of functional data, but are intrinsically nonlinear due to positivity and integrability restrictions. Indeed, their dominating statistical variation arises through random deformations of an underlying template, a theme that is pursued in depth in this monograph.
Pages
147 pages
Collection
SpringerBriefs in Probability and Mathematical Statistics
Parution
2020-03-10
Marque
Springer
EAN papier
9783030384371
EAN PDF
9783030384388
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
6195 Ko
Prix
0,00 €
EAN EPUB
9783030384388
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
18627 Ko
Prix
0,00 €

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