High Dimensional Probability VI
Subtitle: The Banff Volume
By: edited by Christian Houdré, David M. Mason, Jan Rosiński, Jon A. Wellner
Contributors: Mason, David M.; Rosiński, Jan; Wellner, Jon A.; SpringerLink (Online service)
Series: Progress in Probability -- 66
Publisher: Springer Basel; Imprint: Birkhäuser
Published: 2013
Place of publication: Basel
Language: eng
Format: [electronic resource] :
Number of pages: 373
ISBN-13: 9783034804905
Subjects: Probability Theory and Stochastic Processes; Mathematical Applications in Computer Science; Mathematics; Distribution (Probability theory); Calculus of Variations and Optimal Control; Optimization; Mathematical optimization
Description: This is a collection of papers by participants at the 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.​