Non-life insurance mathematics: an introduction with stochastic processes

This book offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detaileddiscussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties. Throughout the book the language of stochastic processes is used for describing the dynamics of an insurance portfolio in claim size space and time. In addition to the standard actuarial notions, the reader learns about the basic models of modern non-life insurance mathematics: the Poisson, compound Poisson and renewal processes in collective risk theory and heterogeneity and Bühlmann models in experience rating. The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy. Special emphasis is given to the phenomena which are caused by large claims in these models. What makes this book special are more than 100 figures and tables illustrating and visualizing the theory. Every section ends with extensive exercises.They are an integral part of this course since they support the access to thetheory. Rigorous mathematical introduction and as such quite a unique textbook which can be used not only by a specialised audience More than 100 figures and tables illustrating and visualizing the theory Every section ends with extensive exercises Book's content is in agreement with the European ‘Group Consultatif’ standards

• ISBN: 978-3-540-88232-9
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 455
• Fecha Publicación: 01/01/2009
• Nº Volúmenes: 1
• Idioma: Inglés