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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

    Degree distribution for a network with 150000 vertices and mean degree = 6 created using the Barabási–Albert model (blue dots). The distribution follows an analytical form given by the ratio of two gamma functions (black line) which approximates as a power-law.

  4. 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 ...

  5. Barabási–Albert model - Wikipedia

    en.wikipedia.org/wiki/Barabási–Albert_model

    The distribution of the vertex degrees of a BA graph with 200000 nodes and 2 new edges per step. Plotted in log-log scale. It follows a power law with exponent -2.78. The degree distribution resulting from the BA model is scale free, in particular, it is a power law of the form ()

  6. List of probability distributions - Wikipedia

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

    The Pareto distribution, or "power law" distribution, used in the analysis of financial data and critical behavior. The Pearson Type III distribution; The phase-type distribution, used in queueing theory; The phased bi-exponential distribution is commonly used in pharmacokinetics; The phased bi-Weibull distribution

  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. Degree distribution - Wikipedia

    en.wikipedia.org/wiki/Degree_distribution

    The degree distribution is very important in studying both real networks, such as the Internet and social networks, and theoretical networks.The simplest network model, for example, the (ErdÅ‘s–Rényi model) random graph, in which each of n nodes is independently connected (or not) with probability p (or 1 − p), has a binomial distribution of degrees k: