Overview
- Gives a unique view on the mathematical methods used by experts to establish limit theorems in probability and statistics, which reside in high dimensions
- Displays the wide scope of the types of problems to which these methods can be successfully applied
- Provides a valuable introduction to what is meant by high dimensional probability and exposes fruitful new areas of research in the area
Part of the book series: Progress in Probability (PRPR, volume 66)
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About this book
This is a collection of papers by participants at High Dimensional Probability VI Meeting held from October 9-14, 2011 at the Banff International Research Station in Banff, Alberta, Canada.
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 areas of mathematics, statistics, and computer science. These include random matrix theory, nonparametric statistics, empirical process theory, statistical learning theory, concentration of measure phenomena, strong and weak approximations, distribution function estimation in high dimensions, combinatorial optimization, and random graph theory.
The papers in this volume show that HDP theory continues to develop new tools, methods, techniques and perspectives to analyze the random phenomena. Both researchers and advanced students will find this book of great use for learning about new avenues of research.
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Keywords
Table of contents (21 papers)
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Inequalities and Convexity
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Limit Theorems
Editors and Affiliations
Bibliographic Information
Book Title: High Dimensional Probability VI
Book Subtitle: The Banff Volume
Editors: Christian Houdré, David M. Mason, Jan Rosiński, Jon A. Wellner
Series Title: Progress in Probability
DOI: https://doi.org/10.1007/978-3-0348-0490-5
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2013
Hardcover ISBN: 978-3-0348-0489-9Published: 30 April 2013
Softcover ISBN: 978-3-0348-0799-9Published: 22 May 2015
eBook ISBN: 978-3-0348-0490-5Published: 19 April 2013
Series ISSN: 1050-6977
Series E-ISSN: 2297-0428
Edition Number: 1
Number of Pages: XIII, 374
Topics: Probability Theory and Stochastic Processes, Mathematical Applications in Computer Science, Calculus of Variations and Optimal Control; Optimization