Utility theory and insurance -- The individual risk model -- Collective risk models -- Ruin theory -- Premium principles -- Bonus-malus systems -- Credibility theory -- Generalized linear models -- IBNR techniques -- Ordering of risks.

This paper studies the problem of finding best-possible upper bounds on a rich class of risk measures, expressible as integrals with respect to measures, under incomplete probabilistic information. Both univariate and multivariate risk measurement problems are considered. The extremal...