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  2. Power law - Wikipedia

    en.wikipedia.org/wiki/Power_law

    This distribution is a common alternative to the asymptotic power-law distribution because it naturally captures finite-size effects. The Tweedie distributions are a family of statistical models characterized by closure under additive and reproductive convolution as well as under scale transformation. Consequently, these models all express a ...

  3. Scale-free network - Wikipedia

    en.wikipedia.org/wiki/Scale-free_network

    In studies of the networks of citations between scientific papers, Derek de Solla Price showed in 1965 that the number of links to papers—i.e., the number of citations they receive—had a heavy-tailed distribution following a Pareto distribution or power law, and thus that the citation network is scale-free. He did not however use the term ...

  4. List of probability distributions - Wikipedia

    en.wikipedia.org/wiki/List_of_probability...

    The log-normal distribution, describing variables which can be modelled as the product of many small independent positive variables. The Lomax distribution; The Mittag-Leffler distribution; The Nakagami distribution; The Pareto distribution, or "power law" distribution, used in the analysis of financial data and critical behavior.

  5. Pareto distribution - Wikipedia

    en.wikipedia.org/wiki/Pareto_distribution

    The Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto, [2] is a power-law probability distribution that is used in description of social, quality control, scientific, geophysical, actuarial, and many other types of observable phenomena; the principle originally applied to describing the distribution of wealth in a society, fitting the trend ...

  6. Zipf–Mandelbrot law - Wikipedia

    en.wikipedia.org/wiki/Zipf–Mandelbrot_law

    The distribution of words ranked by their frequency in a random text corpus is approximated by a power-law distribution, known as Zipf's law.. If one plots the frequency rank of words contained in a moderately sized corpus of text data versus the number of occurrences or actual frequencies, one obtains a power-law distribution, with exponent close to one (but see Powers, 1998 and Gelbukh ...

  7. Long tail - Wikipedia

    en.wikipedia.org/wiki/Long_tail

    Given enough choice, a large population of customers, and negligible stocking and distribution costs, the selection and buying pattern of the population results in the demand across products having a power law distribution or Pareto distribution. It is important to understand why some distributions are normal vs. long tail (power) distributions.

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  9. Probability distribution - Wikipedia

    en.wikipedia.org/wiki/Probability_distribution

    Log-normal distribution, for a single such quantity whose log is normally distributed; Pareto distribution, for a single such quantity whose log is exponentially distributed; the prototypical power law distribution