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High Dimensional Probability VII
  • Language: en
  • Pages: 480

High Dimensional Probability VII

  • Type: Book
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  • Published: 2016-09-21
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  • Publisher: Birkhäuser

This volume collects selected papers from the 7th High Dimensional Probability meeting held at the Institut d'Études Scientifiques de Cargèse (IESC) in Corsica, France. 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 subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, and random graphs. The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques and perspectives to analyze random phenomena.

Stochastic Inequalities and Applications
  • Language: en
  • Pages: 362

Stochastic Inequalities and Applications

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Birkhäuser

Concentration inequalities, which express the fact that certain complicated random variables are almost constant, have proven of utmost importance in many areas of probability and statistics. This volume contains refined versions of these inequalities, and their relationship to many applications particularly in stochastic analysis. The broad range and the high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers in the above areas.

High Dimensional Probability VI
  • Language: en
  • Pages: 372

High Dimensional Probability VI

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.​

Probabilistic Spiking Neuronal Nets
  • Language: en
  • Pages: 203

Probabilistic Spiking Neuronal Nets

None

Lectures on Probability Theory and Statistics
  • Language: en
  • Pages: 300

Lectures on Probability Theory and Statistics

This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo’s course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funaki’s course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called \nabla \varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques.

Bulletin of the Belgian Mathematical Society, Simon Stevin
  • Language: en
  • Pages: 302

Bulletin of the Belgian Mathematical Society, Simon Stevin

  • Type: Book
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  • Published: 2006
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  • Publisher: Unknown

None

Fundamentals of the Theory of Structured Dependence between Stochastic Processes
  • Language: en
  • Pages: 279

Fundamentals of the Theory of Structured Dependence between Stochastic Processes

Comprehensive presentation of the technical aspects and applications of the theory of structured dependence between random processes.

Exercices d'oral de mathématiques - classes prépas BL - ECE - ECS. Corrigés et commentés par leurs auteurs
  • Language: fr
  • Pages: 528

Exercices d'oral de mathématiques - classes prépas BL - ECE - ECS. Corrigés et commentés par leurs auteurs

Un oral de mathématiques n’est ni un exercice de récitation et de calcul mécanique, ni un jeu d’astuces réservé à quelques initiés. Il fournit au contraire l’occasion de développer et d’expliquer de jolis raisonnements, et parfois d’aller à la rencontre d’une grande idée sur un exemple simple. Ce livre est une invitation aux mathématiques. Il propose une sélection soigneuse d’exercices posés au concours d’entrée à l’École normale supérieure, voie BL. Ceux-ci sont présentés, discutés et corrigés en détail par le jury qui les a proposés, et sont compatibles avec les nouveaux programmes des classes préparatoires ECE et ECS. Rédigé dans un style access...

Mathematical Reviews
  • Language: en
  • Pages: 984

Mathematical Reviews

  • Type: Book
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  • Published: 2008
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  • Publisher: Unknown

None

Concentration Inequalities and Model Selection
  • Language: en
  • Pages: 346

Concentration Inequalities and Model Selection

  • Type: Book
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  • Published: 2007-04-26
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  • Publisher: Springer

Concentration inequalities have been recognized as fundamental tools in several domains such as geometry of Banach spaces or random combinatorics. They also turn to be essential tools to develop a non asymptotic theory in statistics. This volume provides an overview of a non asymptotic theory for model selection. It also discusses some selected applications to variable selection, change points detection and statistical learning.