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Stop-loss and limited loss random variables are two important transforms of a loss random variable and appear in many modelling problems in insurance, finance, and other fields. Risk levels of a loss variable and its transforms are often measured by risk measures. When only partial information...
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This paper attempts to provide a decision-theoretic foundation for the measurement of economic tail risk, which is not … only closely related to utility theory but also relevant to statistical model uncertainty. The main result is that the only …
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Systemic risk, in a complex system with several interrelated variables, such as a financial market, is quantifiable from the multivariate probability distribution describing the reciprocal influence between the system's variables. The effect of stress on the system is reflected by the change in...
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