The present paper provides a unifying survey of Bayesian models in different areas of actuarial mathematics. Bayesian models are discussed with regard to claim number processes, experience rating, and experience reserving. Most models are parametric, but experience rating is also considered in...

We define a notion of measure of discontinuity and establish an existence theorem of approximate fixed point for discontinuous set-valued maps, generalizing the fixed point theorem of Kakutani. Copyright Springer-Verlag Berlin Heidelberg 1998

The paper extends the Bierman-Hausman credit granting model by incorporating economic factors, which may vary randomly over time. Sufficient conditions are found for the optimality of simple credit policies. The monotonicity results are based on nonstandard orderings induced by the probability...

Successful treatment of inconsistent QP problems is of major importance in the SQP method, since such occur quite often even for well behaved nonlinear programming problems. This paper presents a new technique for regularizing inconsistent QP problems, which compromises in its properties between...

We consider the symmetrical case of the Poissonian variant of the two-armed bandit problem. We suppose that at jump-times of a non-observed Poisson process sequential switching of the bandit arms occurs. The optimality of the myopic policy is proved for all sufficiently large switching rates. In...

Set-valued optimisation is an important topic and has wide applications in engineering and game theory. An interesting topic in set-valued optimisation is the appropriate introduction of a derivative concept for set-valued mappings. In this paper, Dini directional derivatives are introduced and...

The potential approach of value theory is extended with respect to a new characterizing property called conservation giving a clear interpretation of the potential. Many analogues between game theory and physics are presented. Particularly, there is a theorem of conservation of energy analogous...