An introduction to non-life insurance mathematics. (English) Zbl 0543.62087

Veröffentlichungen des Instituts für Versicherungswissenschaft der Universität Mannheim, Bd. 28. Karlsruhe: Verlag Versicherungswirtschaft e.V. VII, 168 p. DM 24.00 (1984).
This is an up-to-date and self-contained introductory text-book covering the main topics of modern risk theory such as premium calculation principles, credibility theory, claims reserves, and the computation of accumulated claim distributions.
On the whole, the book is more elementary than H. U. Gerber’s monograph ”An introduction to mathematical risk theory.” (1979; Zbl 0431.62066), and there is not as much emphasis on practical applications as in the textbook by R. E. Beard, T. Pentikäinen and E. Pesonen, Risk theory. The stochastic basis of insurance. 3rd ed. (1984; Zbl 0532.62081), but the clear and vivid representation makes it a readable and very useful introduction to risk theory.
Reviewer: W.R.Heilmann


62P05 Applications of statistics to actuarial sciences and financial mathematics
62-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics
60K10 Applications of renewal theory (reliability, demand theory, etc.)
62C12 Empirical decision procedures; empirical Bayes procedures
91B16 Utility theory