TY - BOOK AU - Houdré,Christian AU - Mason,David M. AU - Rosiński,Jan AU - Wellner,Jon A. ED - SpringerLink (Online service) TI - High Dimensional Probability VI: The Banff Volume T2 - Progress in Probability SN - 9783034804905 AV - QA273.A1-274.9 U1 - 519.2 23 PY - 2013/// CY - Basel PB - Springer Basel, Imprint: Birkhäuser KW - Mathematics KW - Computer science KW - Computer mathematics KW - Calculus of variations KW - Probabilities KW - Probability Theory and Stochastic Processes KW - Mathematical Applications in Computer Science KW - Calculus of Variations and Optimal Control; Optimization N2 - 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 UR - http://dx.doi.org/10.1007/978-3-0348-0490-5 ER -