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  2. Expected shortfall - Wikipedia

    en.wikipedia.org/wiki/Expected_shortfall

    Expected shortfall (ES) is a risk measure—a concept used in the field of financial risk measurement to evaluate the market risk or credit risk of a portfolio. The "expected shortfall at q% level" is the expected return on the portfolio in the worst q % {\displaystyle q\%} of cases.

  3. Coherent risk measure - Wikipedia

    en.wikipedia.org/wiki/Coherent_risk_measure

    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 .

  4. Tail value at risk - Wikipedia

    en.wikipedia.org/wiki/Tail_value_at_risk

    Under some formulations, it is only equivalent to expected shortfall when the underlying distribution function is continuous at ⁡ (), the value at risk of level . [2] Under some other settings, TVaR is the conditional expectation of loss above a given value, whereas the expected shortfall is the product of this value with the probability of ...

  5. Discounted maximum loss - Wikipedia

    en.wikipedia.org/wiki/Discounted_maximum_loss

    The discounted maximum loss is the expected shortfall at level =. It is therefore a coherent risk measure . The worst-case risk measure ρ max {\displaystyle \rho _{\max }} is the most conservative (normalized) risk measure in the sense that for any risk measure ρ {\displaystyle \rho } and any portfolio X {\displaystyle X} then ρ ( X ) ≤ ρ ...

  6. RiskMetrics - Wikipedia

    en.wikipedia.org/wiki/RiskMetrics

    Since there are three risk measures covered by RiskMetrics, there are three incremental risk measures: Incremental VaR (IVaR), Incremental Expected Shortfall (IES), and Incremental Standard Deviation (ISD).

  7. Conditional expectation - Wikipedia

    en.wikipedia.org/wiki/Conditional_expectation

    In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value evaluated with respect to the conditional probability distribution. If the random variable can take on only a finite number of values, the "conditions" are that the variable can only take on a subset of ...

  8. Shortfall - Wikipedia

    en.wikipedia.org/wiki/Shortfall

    Shortfall may refer to: Benefit shortfall , the result of actual benefits of a venture being less than the projected or estimated benefits Expected shortfall , a risk measure—a concept used in the field of financial risk measurement to evaluate the market risk or credit risk of a portfolio

  9. Fisher's exact test - Wikipedia

    en.wikipedia.org/wiki/Fisher's_exact_test

    Fisher's exact test (also Fisher-Irwin test) is a statistical significance test used in the analysis of contingency tables. [1] [2] [3] Although in practice it is employed when sample sizes are small, it is valid for all sample sizes.