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  2. 68–95–99.7 rule - Wikipedia

    en.wikipedia.org/wiki/68–95–99.7_rule

    In the empirical sciences, the so-called three-sigma rule of thumb (or 3 σ rule) expresses a conventional heuristic that nearly all values are taken to lie within three standard deviations of the mean, and thus it is empirically useful to treat 99.7% probability as near certainty.

  3. Normal distribution - Wikipedia

    en.wikipedia.org/wiki/Normal_distribution

    3.2.1.2 Operations on two independent standard normal variables. ... This fact is known as the 68–95–99.7 (empirical) rule, or the 3-sigma rule.

  4. Standard deviation - Wikipedia

    en.wikipedia.org/wiki/Standard_deviation

    A five-sigma level translates to one chance in 3.5 million that a random fluctuation would yield the result. ... x 1, x 2, x 3. This defines a point P = (x 1, x 2, x ...

  5. Split normal distribution - Wikipedia

    en.wikipedia.org/wiki/Split_Normal_Distribution

    When σ 2 ≠σ 1 the constant A is different from the constant of normal distribution. However, when = = the constants are equal. The sign of its third central moment is determined by the difference (σ 21). If this difference is positive, the distribution is skewed to the right and if negative, then it is skewed to the left.

  6. Gaussian function - Wikipedia

    en.wikipedia.org/wiki/Gaussian_function

    This integral is 1 if and only if = (the normalizing constant), and in this case the Gaussian is the probability density function of a normally distributed random variable with expected value μ = b and variance σ 2 = c 2: = ⁡ (()).

  7. Standard error - Wikipedia

    en.wikipedia.org/wiki/Standard_error

    For a value that is sampled with an unbiased normally distributed error, the above depicts the proportion of samples that would fall between 0, 1, 2, and 3 standard deviations above and below the actual value.

  8. What do teens mean when they say ‘sigma’? - AOL

    www.aol.com/news/teens-mean-sigma-000158935.html

    Sigma males are “considered ‘equal’ to Alphas on the hierarchy but live outside of the hierarchy by choice,” reads the website. Urban Dictionary adds that sigma “is what all 10 year olds ...

  9. σ-algebra - Wikipedia

    en.wikipedia.org/wiki/Σ-algebra

    In mathematical analysis and in probability theory, a σ-algebra ("sigma algebra"; also σ-field, where the σ comes from the German "Summe" [1]) on a set X is a nonempty collection Σ of subsets of X closed under complement, countable unions, and countable intersections. The ordered pair (,) is called a measurable space.