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  2. Skew normal distribution - Wikipedia

    en.wikipedia.org/wiki/Skew_normal_distribution

    The exponentially modified normal distribution is another 3-parameter distribution that is a generalization of the normal distribution to skewed cases. The skew normal still has a normal-like tail in the direction of the skew, with a shorter tail in the other direction; that is, its density is asymptotically proportional to for some positive .

  3. Skewness - Wikipedia

    en.wikipedia.org/wiki/Skewness

    Therefore, the mean of the sequence becomes 47.5, and the median is 49.5. Based on the formula of nonparametric skew, defined as () /, the skew is negative. Similarly, we can make the sequence positively skewed by adding a value far above the mean, which is probably a positive outlier, e.g. (49, 50, 51, 60), where the mean is 52.5, and the ...

  4. Generalized normal distribution - Wikipedia

    en.wikipedia.org/wiki/Generalized_normal...

    The asymmetric generalized normal distribution is a family of continuous probability distributions in which the shape parameter can be used to introduce asymmetry or skewness. [ 15 ] [ 16 ] When the shape parameter is zero, the normal distribution results.

  5. Symmetric mean absolute percentage error - Wikipedia

    en.wikipedia.org/wiki/Symmetric_mean_absolute...

    In contrast to the mean absolute percentage error, SMAPE has both a lower and an upper bound. Indeed, the formula above provides a result between 0% and 200%. Indeed, the formula above provides a result between 0% and 200%.

  6. Asymmetric Laplace distribution - Wikipedia

    en.wikipedia.org/wiki/Asymmetric_Laplace...

    If X 1 is drawn from exponential distribution with mean and rate (m 1,λ/κ) and X 2 is drawn from an exponential distribution with mean and rate (m 2,λκ) then X 1 - X 2 is distributed according to the asymmetric Laplace distribution with parameters (m1-m2, λ, κ)

  7. Funnel plot - Wikipedia

    en.wikipedia.org/wiki/Funnel_plot

    An asymmetric funnel indicates a relationship between treatment effect estimate and study precision. This suggests the possibility of either publication bias or a systematic difference between studies of higher and lower precision (typically ‘small study effects’). Asymmetry can also arise from use of an inappropriate effect measure.

  8. Exponentially modified Gaussian distribution - Wikipedia

    en.wikipedia.org/wiki/Exponentially_modified...

    The distribution is a compound probability distribution in which the mean of a normal distribution varies randomly as a shifted exponential distribution. [ citation needed ] A Gaussian minus exponential distribution has been suggested for modelling option prices. [ 20 ]

  9. Asymmetry - Wikipedia

    en.wikipedia.org/wiki/Asymmetry

    Asymmetry is the absence of, or a violation of, symmetry (the property of an object being invariant to a transformation, such as reflection). [1] Symmetry is an important property of both physical and abstract systems and it may be displayed in precise terms or in more aesthetic terms. [2]

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