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Book
A probability metrics approach to financial risk measures
Authors: --- ---
ISBN: 9781405183697 1405183691 Year: 2011 Publisher: Chichester Wiley-Blackwell

Advanced stochastic models, risk assessment, and portfolio optimization : the ideal risk, uncertainty, and performance measures
Authors: --- ---
ISBN: 1281217301 0470253606 9786611217303 1283272954 9786613272959 1118086147 047005316X 9780470253601 9781281217301 9781118086148 9780470053164 6611217304 9781283272957 6613272957 Year: 2008 Publisher: Hoboken, N.J. : [Chichester : Wiley ; John Wiley, distributor],

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Abstract

This groundbreaking book extends traditional approaches of risk measurement and portfolio optimization by combining distributional models with risk or performance measures into one framework. Throughout these pages, the expert authors explain the fundamentals of probability metrics, outline new approaches to portfolio optimization, and discuss a variety of essential risk measures. Using numerous examples, they illustrate a range of applications to optimal portfolio choice and risk theory, as well as applications to the area of computational finance that may be useful to financial engineers.


Digital
The Methods of Distances in the Theory of Probability and Statistics
Authors: --- --- ---
ISBN: 9781461448693 Year: 2013 Publisher: New York, NY Springer

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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)  .

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