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This volume collects selected papers from the 8th High Dimensional Probability meeting held at Casa Matemática Oaxaca (CMO), Mexico.
High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, random graphs, information theory and convex geometry.
The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques and perspectives to analyze random phenomena.
- Inhaltsverzeichnis (19 Kapitel)
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Jørgen Hoffmann-Jørgensen (1942–2017)
Seiten 1-7
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Moment Estimation Implied by the Bobkov-Ledoux Inequality
Seiten 9-20
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Polar Isoperimetry. I: The Case of the Plane
Seiten 21-31
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Iterated Jackknives and Two-Sided Variance Inequalities
Seiten 33-40
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A Probabilistic Characterization of Negative Definite Functions
Seiten 41-53
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Inhaltsverzeichnis (19 Kapitel)
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Bibliografische Information
- Bibliographic Information
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- Buchtitel
- High Dimensional Probability VIII
- Buchuntertitel
- The Oaxaca Volume
- Herausgeber
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- Nathael Gozlan
- Rafal Latala
- Karim Lounici
- Mokshay Madiman
- Titel der Buchreihe
- Progress in Probability
- Buchreihen Band
- 74
- Copyright
- 2019
- Verlag
- Birkhäuser Basel
- Copyright Inhaber
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-26391-1
- DOI
- 10.1007/978-3-030-26391-1
- Hardcover ISBN
- 978-3-030-26390-4
- Softcover ISBN
- 978-3-030-26393-5
- Buchreihen ISSN
- 1050-6977
- Auflage
- 1
- Seitenzahl
- X, 458
- Anzahl der Bilder
- 1 schwarz-weiß Abbildungen, 5 Abbildungen in Farbe
- Themen
