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The average value at risk (sometimes called expected shortfall or conditional value-at-risk or ) is a coherent risk measure, even though it is derived from Value at Risk which is not. The domain can be extended for more general Orlitz Hearts from the more typical Lp spaces .
The first step in hazard analysis is to identify the hazards. If an automobile is an object performing an activity such as driving over a bridge, and that bridge may become icy, then an icy bridge might be identified as a hazard.
In toxicology, the margin of exposure (or MOE) of a substance is the ratio of its no-observed-adverse-effect level to its theoretical, predicted, or estimated dose or concentration of human intake. [1] It is used in risk assessment to determine the dangerousness of substances that are both genotoxic and carcinogenic. [2]
In financial mathematics, a risk measure is used to determine the amount of an asset or set of assets (traditionally currency) to be kept in reserve. The purpose of this reserve is to make the risks taken by financial institutions , such as banks and insurance companies, acceptable to the regulator .
Equivalently, if the risk of an outcome is decreased by the exposure, the term absolute risk reduction (ARR) is used, and computed as . [2] [3] The inverse of the absolute risk reduction is the number needed to treat, and the inverse of the absolute risk increase is the number needed to harm. [2]
Firefighters are exposed to risks of fire and building collapse during their work.. In simple terms, risk is the possibility of something bad happening. [1] Risk involves uncertainty about the effects/implications of an activity with respect to something that humans value (such as health, well-being, wealth, property or the environment), often focusing on negative, undesirable consequences. [2]
Risk assessment determines possible mishaps, their likelihood and consequences, and the tolerances for such events. [1] [2] The results of this process may be expressed in a quantitative or qualitative fashion. Risk assessment is an inherent part of a broader risk management strategy to help reduce any potential risk-related consequences. [1] [3]
The relative risk (RR) or risk ratio is the ratio of the probability of an outcome in an exposed group to the probability of an outcome in an unexposed group. Together with risk difference and odds ratio, relative risk measures the association between the exposure and the outcome. [1]