This paper offers a systematic treatment of risk-sharing rules for insurance losses, based on a list of relevant properties. A number of candidate risk-sharing rules are considered, including the conditional mean risk-sharing rule proposed in Denuit and Dhaene (2012). and the newly introduced...

Two by-now folkloric results in the theory of risk sharing are that (i) any feasible allocation is convex-order-dominated by a comonotonic allocation; and (ii) an allocation is Pareto optimal for the convex order if and only if it is comonotonic. Here, comonotonicity corresponds to the...

The aim of this short note is to investigate the impact of duplicates in a life insurance portfolio by means of the supermodular order. Most classical results involving the variances are generalized using the stop-less order.

The aim of this short note is to investigate the impact of duplicates in a life insurance portfolio by means of the supermodular order. Most classical results involving the variances are generalized using the stop-less order.

A text aimed at researchers and postgraduates actuarial science, statistics, and actuarial mathematics providing a comprehensive and detailed description of statistical methods for projecting mortality, and an extensive discussion of some important issues concerning the longevity risk in the...