Summary |
The present book is intentionally not oriented bibliographical. It attempts to create a synthesis out of a selection made by the author of modern scientific publications in the field of actuarial mathematics, with the goal of presenting a unified system of thought.
The construction is so arranged that the mathematical model of the events dealt with in insurance is presented in the first part. Chapter 1 explains the probability-theoretical fundamentals of risk.
Chapter 2 treats the risk process and at the same time the tools of the theory of stochastic processes are elucidated. Chapter 3 explains the concept of the collective and develops the related risk quantities. Consequences of the mathematical model form the content of second part. Chapter 4 deals with premium calculation and Chapter 5 with the retention problem. Finally, the real operational problems are taken up in Chapter 6, the subject of which are the risk carrier’s stability criteria. In addition to the probability of ruin criterion, the dividend policy and utility criteria area also discussed. The general tendency toward forming a bridge between economic and actuarial theory is particularly visible in this last chapter.
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