Evaluating risk measures, premiums, and capital allocation based on dependent multi-losses is a notoriously difficult … by a heavy-tailed background risk. A particular attention is given to the distortion and weighted risk measures and … allocations, as well as their special cases such as the conditional layer expectation, tail value at risk, and the truncated tail …

We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest …-additive risk measures, for which the eligible asset is a risk-free bond, on the grounds that the general case can be reduced to the … provide a variety of finiteness and continuity results for the corresponding risk measures and apply them to risk measures …