An Invitation to Statistics in Wasserstein Space
- Authors
- Panaretos, Victor M. & Zemel, Yoav
- Publisher
- Springer International Publishing
- Size
- 18.49 MB
- Lang
- en
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, italso provides anaccessible introduction to the fundamentals of this current topic, as well as an overview thatwill serve as an invitation and catalyst for further research.
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Optimal transportation.- The Wasserstein space.- Fréchet means in the Wasserstein space.- Phase variation and Fréchet means.- Construction of Fréchet means and multicouplings.
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Prof. Victor M. Panaretos holds the Chair of Mathematical Statistics at Institute of Mathematics of the EPFL. He completed his undergraduate studies in Mathematics and Statistics in Athens and Dublin. He then received his PhD in 2007 from the University of California at Berkeley, for which he was awarded the Erich Lehmann Award. He is an Elected Member of the International Statistical Institute, a Fellow of the Institute for Mathematical Statistics, the recipient of an ERC Starting Grant Award, and was the 2019 Bernoulli Society Forum Lecturer. He serves on the editorial boards of the Annals of Statistics, Biometrika, and the Journal of the American Statistical Association.
Dr. Yoav Zemel graduated with a PhD in Mathematics at the EPFL in 2017 and is currently a postdoctoral researcher in the Statistical Laboratory at the University of Cambridge. He completed his undergraduate studies in Mathematics and Economics at the Hebrew University of Jerusalem, and earned an MSc in Applied Mathematics at the EPFL. He is the recipient of the EPFL excellence scholarship, as well as the Hebrew University Amirim scholarship, Rector’s Prize and Dean’s Prize.
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Gives a succinct introduction to necessary mathematical background, focusingon the results useful for statistics from an otherwise vast mathematical literature
Presents an up-to-date overview of the state of the art, including some original results,and discusses open problems
Suitable for self-study or to be used as a graduate level course text
Open access
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Gives a succinct introduction to necessary mathematical background, focusingon theresults useful for statistics from an otherwise vast mathematical literature.
Presents an up to date overview of the state of the art, including some original results,
and discusses open problems.
Suitable for self-study or to be used as a graduate level course text.
Open access.
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CC BY 4.0
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Open Access This book is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/b...), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the book's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the book's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
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9783030384388
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