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Cover Art
Author Mikosch, Thomas, author.

Title Non-life insurance mathematics : an introduction with stochastic processes / Thomas Mikosch.

Published Berlin : Springer, 2006.


Location Call No. Status
Edition Corrected second print.
Physical description 1 online resource (241 pages) : illustrations.
Series Universitext
Bibliography Includes bibliographical references and index.
Summary This book offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions 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 B赨lmann 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 the theory. The book can serve either as a text for an undergraduate/graduate course on non-life insurance mathematics or applied stochastic processes. Its content is in agreement with the European 'Groupe Consultatif' standards. An extensive bibliography, annotated by various comments sections with references to more advanced relevant literature, make the book broadly and easiliy accessible.
Notes Description based on print version record.
Subject Insurance -- Mathematics -- Textbooks.
Point processes -- Textbooks.
Electronic books.
ISBN 9783540448891 (electronic bk.)
3540448896 (electronic bk.)