Skip to main content
main-content

Über dieses Buch

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.​

Inhaltsverzeichnis

Frontmatter

Inequalities and Convexity

Frontmatter

2013 | OriginalPaper | Buchkapitel

Bracketing Entropy of High Dimensional Distributions

Fuchang Gao

2013 | OriginalPaper | Buchkapitel

Slepian’s Inequality, Modularity and Integral Orderings

J. Hoffmann-Jørgensen

2013 | OriginalPaper | Buchkapitel

A More General Maximal Bernstein-type Inequality

Péter Kevei, David M. Mason

2013 | OriginalPaper | Buchkapitel

Maximal Inequalities for Centered Norms of Sums of Independent Random Vectors

Rafał Latała

2013 | OriginalPaper | Buchkapitel

A Probabilistic Inequality Related to Negative Definite Functions

Mikhail Lifshits, René L. Schilling, Ilya Tyurin

2013 | OriginalPaper | Buchkapitel

Optimal Re-centering Bounds, with Applications to Rosenthal-type Concentration of Measure Inequalities

Iosif Pinelis

2013 | OriginalPaper | Buchkapitel

Strong Log-concavity is Preserved by Convolution

Jon A. Wellner

2013 | OriginalPaper | Buchkapitel

On Some Gaussian Concentration Inequality for Non-Lipschitz Functions

Paweł Wolff

Limit Theorems

Frontmatter

2013 | OriginalPaper | Buchkapitel

Rates of Convergence in the Strong Invariance Principle for Non-adapted Sequences Application to Ergodic Automorphisms of the Torus

Jérôme Dedecker, Florence Merlevède, Françoise Pène

2013 | OriginalPaper | Buchkapitel

On the Rate of Convergence to the Semi-circular Law

Friedrich Götze, Alexandre Tikhomirov

2013 | OriginalPaper | Buchkapitel

Empirical Quantile CLTs for Time-dependent Data

James Kuelbs, Joel Zinn

2013 | OriginalPaper | Buchkapitel

Asymptotic Properties for Linear Processes of Functionals of Reversible or Normal Markov Chains

Magda Peligrad

Stochastic Processes

Frontmatter

2013 | OriginalPaper | Buchkapitel

First Exit of Brownian Motion from a One-sided Moving Boundary

Frank Aurzada, Tanja Kramm

2013 | OriginalPaper | Buchkapitel

On Lévy’s Equivalence Theorem in Skorohod Space

Andreas Basse-O’Connor, Jan Rosiński

2013 | OriginalPaper | Buchkapitel

Continuity Conditions for a Class of Second-order Permanental Chaoses

Michael B. Marcus, Jay Rosen

Random Matrices and Applications

Frontmatter

2013 | OriginalPaper | Buchkapitel

On the Operator Norm of Random Rectangular Toeplitz Matrices

Radosław Adamczak

2013 | OriginalPaper | Buchkapitel

Edge Fluctuations of Eigenvalues of Wigner Matrices

Hanna Döring, Peter Eichelsbacher

2013 | OriginalPaper | Buchkapitel

On the Limiting Shape of Young Diagrams Associated with Inhomogeneous Random Words

Christian Houdré, Hua Xu

High Dimensional Statistics

Frontmatter

2013 | OriginalPaper | Buchkapitel

Low Rank Estimation of Similarities on Graphs

Vladimir Koltchinskii, Pedro Rangel

2013 | OriginalPaper | Buchkapitel

Sparse Principal Component Analysis with Missing Observations

Karim Lounici

2013 | OriginalPaper | Buchkapitel

High Dimensional CLT and its Applications

Dragan Radulovic
Weitere Informationen

Premium Partner

micromNeuer InhaltNeuer InhaltNeuer InhaltPluta LogoNeuer Inhalt

BranchenIndex Online

Die B2B-Firmensuche für Industrie und Wirtschaft: Kostenfrei in Firmenprofilen nach Lieferanten, Herstellern, Dienstleistern und Händlern recherchieren.

Whitepaper

- ANZEIGE -

Blockchain-Effekte im Banking und im Wealth Management

Es steht fest, dass Blockchain-Technologie die Welt verändern wird. Weit weniger klar ist, wie genau dies passiert. Ein englischsprachiges Whitepaper des Fintech-Unternehmens Avaloq untersucht, welche Einsatzszenarien es im Banking und in der Vermögensverwaltung geben könnte – „Blockchain: Plausibility within Banking and Wealth Management“. Einige dieser plausiblen Einsatzszenarien haben sogar das Potenzial für eine massive Disruption. Ein bereits existierendes Beispiel liefert der Initial Coin Offering-Markt: ICO statt IPO.
Jetzt gratis downloaden!

Bildnachweise