The Methods of Distances in the Theory of Probability and Statistics - Couverture rigide

Rachev, Svetlozar T.; Klebanov, Lev; Stoyanov, Stoyan V.; Fabozzi, Frank

Couverture rigide

ISBN 10 : 1461448689 ISBN 13 : 9781461448686

Editeur : Springer-Verlag New York Inc., 2013

Synopsis

This book covers the method of metric distances and its application in probability theory and other fields. The method is fundamental in the study of limit theorems and generally in assessing the quality of approximations to a given probabilistic model. The method of metric distances is developed to study stability problems and reduces to the selection of an ideal or the most appropriate metric for the problem under consideration and a comparison of probability metrics.

After describing the basic structure of probability metrics and providing an analysis of the topologies in the space of probability measures generated by different types of probability metrics, the authors study stability problems by providing a characterization of the ideal metrics for a given problem and investigating the main relationships between different types of probability metrics. The presentation is provided in a general form, although specific cases are considered as they arise in the process of finding supplementary bounds or in applications to important special cases.

Svetlozar T. Rachev is the Frey Family Foundation Chair of Quantitative Finance, Department of Applied Mathematics and Statistics, SUNY-Stony Brook and Chief Scientist of Finanlytica, USA. Lev B. Klebanov is a Professor in the Department of Probability and Mathematical Statistics, Charles University, Prague, Czech Republic. Stoyan V. Stoyanov is a Professor at EDHEC Business School and Head of Research, EDHEC-Risk Institute--Asia (Singapore). Frank J. Fabozzi is a Professor at EDHEC Business School. (USA)

A propos du livre

À propos de l'auteur

Svetlozar T. Rachev is a Professorin Department of Applied Mathematics and Statistics, SUNY-Stony Brook. Lev B. Klebanov is a Professor in the Department of Probability and Mathematical Statistics, MFF, Charles University, Prague, Czech Republic. Stoyan V. Stoyanov is a Professor of Finance, EDHEC Business School, Head of Research, EDHEC-Risk Institute. Frank J. Fabozzi is a Professor of Finance, EDHEC Business School

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 1461448689
• ISBN 13: 9781461448686
• Reliure: Relié
• Nombre de pages: 635
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne