Systemic risk, in a complex system with several interrelated variables, such as a financial market, is quantifiable … distribution function can provide a full quantification of risk and stress propagation in the system. However, multivariate … distributions, discussing their estimation from data and proposing novel measures for stress impact and systemic risk in systems …

We introduce and study the main properties of a class of convex risk measures that refine Expected Shortfall by … adjusted Expected Shortfalls quantify risk as the minimum amount of capital that has to be raised and injected into a financial … probability level p\in[0,1]. Through the choice of the benchmark risk profile g one can tailor the risk assessment to the specific …

We introduce a class of quantile-based risk measures that generalize Value at Risk (VaR) and, likewise Expected … probability of occurrence. The corresponding risk measure, called Loss VaR (LVaR), determines the minimal capital injection that … and applications to capital adequacy, portfolio risk management and catastrophic risk are presented …