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  2. Probability of error - Wikipedia

    en.wikipedia.org/wiki/Probability_of_error

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  3. Bayes error rate - Wikipedia

    en.wikipedia.org/wiki/Bayes_error_rate

    where is the instance, [] the expectation value, is a class into which an instance is classified, (|) is the conditional probability of label for instance , and () is the 0–1 loss function: L ( x , y ) = 1 − δ x , y = { 0 if x = y 1 if x ≠ y {\displaystyle L(x,y)=1-\delta _{x,y}={\begin{cases}0&{\text{if }}x=y\\1&{\text{if }}x\neq y\end ...

  4. Bayes classifier - Wikipedia

    en.wikipedia.org/wiki/Bayes_classifier

    Assume that the conditional distribution of X, given that the label Y takes the value r is given by (=) =,, …, where "" means "is distributed as", and where denotes a probability distribution. A classifier is a rule that assigns to an observation X = x a guess or estimate of what the unobserved label Y = r actually was.

  5. Error function - Wikipedia

    en.wikipedia.org/wiki/Error_function

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  6. Pairwise error probability - Wikipedia

    en.wikipedia.org/wiki/Pairwise_Error_Probability

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  7. Propagation of uncertainty - Wikipedia

    en.wikipedia.org/wiki/Propagation_of_uncertainty

    Any non-linear differentiable function, (,), of two variables, and , can be expanded as + +. If we take the variance on both sides and use the formula [11] for the variance of a linear combination of variables ⁡ (+) = ⁡ + ⁡ + ⁡ (,), then we obtain | | + | | +, where is the standard deviation of the function , is the standard deviation of , is the standard deviation of and = is the ...

  8. Family-wise error rate - Wikipedia

    en.wikipedia.org/wiki/Family-wise_error_rate

    The procedures of Bonferroni and Holm control the FWER under any dependence structure of the p-values (or equivalently the individual test statistics).Essentially, this is achieved by accommodating a `worst-case' dependence structure (which is close to independence for most practical purposes).

  9. Probable error - Wikipedia

    en.wikipedia.org/wiki/Probable_error

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