Multivariate Families with Mixture Dependence: Properties, Tail Conditional Expectation and Capital Allocation - Softcover

Chiragiev, Arthur; Landsman, Zinoviy

Softcover

ISBN 10: 3843368309 ISBN 13: 9783843368308

Verlag: LAP LAMBERT Academic Publishing, 2010

Inhaltsangabe

In this thesis we consider the problem of capital allocation, based on tail conditional expectation (TCE), for the class of the dependent multivariate family of distributions that essentially generalizes the classical multivariate Pareto distribution. This class can be obtained from independent exponential distributions, by a mixture of their common scale parameter. The distribution of mixture parameter belongs to the general class of distributions and, in particular, to the rich class of the exponential dispersion family (EDF). Special attention is paid to the important subclass of EDF, Tweedie family. We show that TCE-based portfolio allocation for the considered multivariate dependency structure can be represented by the tool of divided di?erences, actually known in numerical analysis. The results are illustrated with examples of multivariate Pareto, Weibull, and other distributions.

Über diesen Titel

Über die Autorin bzw. den Autor

Arthur Chiragiev, PhD, Senior Risk Analyst, Researcher at the Actuarial Research Center, University of Haifa, Mount Carmel, Haifa, Israel. Email: artzur@gmail.com. Zinoviy Landsman, PhD, Professor at the Department of Statistics, Senior Researcher at the Actuarial Research Center, University of Haifa. Email: landsman@stat.haifa.ac.il

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 3843368309
• ISBN 13: 9783843368308
• Einband: Taschenbuch
• Anzahl der Seiten: 104
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Verlag Unser Wissen; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland