The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

The increasing complexity of insurance and reinsurance products has seen a growing
interest amongst actuaries in the modelling of dependent risks. For efficient risk …

During the last two decades, the interest of the actuarial literature in the stochastic orderings
has been growing to such a point that they become one of the most important tools to …

Risk measures have been studied for several decades in the actuarial literature, where they
appeared under the guise of premium calculation principles. Risk measures and properties …

In this article, we give several results on (multivariate and univariate) stochastic comparisons
of generalized order statistics. We give conditions on the underlying distributions and the …

The bounds for risk measures of a portfolio when its components have known marginal
distributions but the dependence among the risks is unknown are often too wide to be useful …

This paper aims to extend the results by Ross (1981)[15] and by Modica and Scarsini
(2005)[13] to stochastic dominance of degree 4 and over. Specifically, it is shown that Ross' …

We organize and extend findings on the comparative static effects of risk changes on optimal
behavior in a unifying expected utility model. We determine restrictions on preferences for …

In this paper we raise the matter of considering a stochastic model of the surrender rate
instead of the classical S-shaped deterministic curve (in function of the spread), still used in …

In the first part of this paper, the extremal generators of the continuous s-convex stochastic
orderings introduced by Denuit et al.,[Denuit, M., Lefèvre, Cl., Shaked, M., 1998 …