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High Dimensional Probability VI: The Banff Volume: Progress in Probability, cartea 66

Editat de Christian Houdré, David M. Mason, Jan Rosiński, Jon A. Wellner
en Limba Engleză Paperback – 22 mai 2015
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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Specificații

ISBN-13: 9783034807999
ISBN-10: 3034807996
Pagini: 390
Ilustrații: XIII, 374 p.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.54 kg
Ediția:2013
Editura: Springer
Colecția Birkhäuser
Seria Progress in Probability

Locul publicării:Basel, Switzerland

Textul de pe ultima copertă

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.​

Caracteristici

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