Modern Actuarial Risk Theory contains what every actuary needs
to know about non-life insurance mathematics. It starts with the
standard material like utility theory, individual and collective
model and basic ruin theory. Other topics are risk measures and
premium principles, bonus-malus systems, ordering of risks and
credibility theory. It also contains some chapters about
Generalized Linear Models, applied to rating and IBNR problems. As
to the level of the mathematics, the book would fit in a bachelors
or masters program in quantitative economics or mathematical
statistics. This second and much expanded edition emphasizes the
implementation of these techniques through the use of R. This free
but incredibly powerful software is rapidly developing into the de
facto standard for statistical computation, not just in academic
circles but also in practice. With R, one can do simulations, find
maximum likelihood estimators, compute distributions by inverting
transforms, and much more.
General
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