Insurance Risk and Ruin

Erscheinungsjahr 2010
ISBN: 978-0-521-17675-0
Verlag: Cambridge University Press

Buch, Englisch, 242 Seiten, Format (B × H): 149 mm x 228 mm, Gewicht: 446 g

Reihe: International Series on Actuarial Science

Based on the author's experience of teaching final-year actuarial students in Britain and Australia, and suitable for a first course in insurance risk theory, this book focuses on the two major areas of risk theory - aggregate claims distributions and ruin theory. For aggregate claims distributions, detailed descriptions are given of recursive techniques that can be used in the individual and collective risk models. For the collective model, different classes of counting distribution are discussed, and recursion schemes for probability functions and moments presented. For the individual model, the three most commonly applied techniques are discussed and illustrated. Care has been taken to make the book accessible to readers who have a solid understanding of the basic tools of probability theory. Numerous worked examples are included in the text and each chapter concludes with exercises, which have answers in the book and full solutions available for instructors from www.cambridge.org/9780521846400.

Autoren/Hrsg.

Dickson, David C. M.

Fachgebiete

• Wirtschaftswissenschaften Betriebswirtschaft Management Risikomanagement
• Wirtschaftswissenschaften Finanzsektor & Finanzdienstleistungen Versicherungswirtschaft
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Finanz- und Versicherungsmathematik
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface; 1. Probability distributions and insurance applications; 2. Utility theory; 3. Principles of premium calculation; 4. The collective risk model; 5. The individual risk model; 6. Introduction to ruin theory; 7. Classical ruin theory; 8. Advanced ruin theory; 9. Reinsurance; References; Solutions to exercises; Index.

Über Autor(innen)

Dickson, David C. M.
David C. M. Dickson is a Professor in Actuarial Studies in the Department of Economics at the University of Melbourne. He is also Adjunct Professor in the Department of Statistics and Actuarial Science at the University of Waterloo.