Progress in Probability

High Dimensional Probability VI

The Banff Volume

Editors: Houdré, C., Mason, D.M., Rosinski, J., Wellner, J.A. (Eds.)

  • 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
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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.​

Table of contents (21 chapters)

  • Bracketing Entropy of High Dimensional Distributions

    Gao, Fuchang

    Pages 3-17

  • Slepian’s Inequality, Modularity and Integral Orderings

    Hoffmann-Jørgensen, J.

    Pages 19-53

  • A More General Maximal Bernstein-type Inequality

    Kevei, Péter (et al.)

    Pages 55-62

  • Maximal Inequalities for Centered Norms of Sums of Independent Random Vectors

    Latała, Rafał

    Pages 63-71

  • A Probabilistic Inequality Related to Negative Definite Functions

    Lifshits, Mikhail (et al.)

    Pages 73-80

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-0348-0490-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-0348-0489-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
High Dimensional Probability VI
Book Subtitle
The Banff Volume
Editors
  • Christian Houdré
  • David M. Mason
  • Jan Rosinski
  • Jon A. Wellner
Series Title
Progress in Probability
Series Volume
66
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0490-5
DOI
10.1007/978-3-0348-0490-5
Hardcover ISBN
978-3-0348-0489-9
Series ISSN
1050-6977
Edition Number
1
Number of Pages
XIII, 374
Topics