The methods of distances in the theory of probability and statistics / / Svetlozar T. Rachev ... [et al.]

• Pubblicazione: New York, : Springer, 2013
• Edizione: 1st ed. 2013.
• Descrizione fisica: 1 online resource (614 p.)
• Disciplina: 519.2
• Soggetto topico: Probabilities; Distances; Distances - Measurement; Statistics
• Altri autori: RachevS. T (Svetlozar Todorov)
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: pt. 1. General topics in the theory of probability metrics -- pt. 2. Relations between compound, simple, and primary distances -- pt. 3. Applications of minimal probability distances -- pt. 4. Ideal metrics -- pt. 5. Euclidean-like distances and their applications.
• Sommario/riassunto: 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) .
• Titolo autorizzato: The methods of distances in the theory of probability and statistics
• ISBN: 1-283-94524-X; 1-4614-4869-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910438141803321
• Lo trovi qui: Univ. Federico II