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  2. Kumaraswamy distribution - Wikipedia

    en.wikipedia.org/wiki/Kumaraswamy_distribution

    In probability and statistics, the Kumaraswamy's double bounded distribution is a family of continuous probability distributions defined on the interval (0,1). It is similar to the beta distribution, but much simpler to use especially in simulation studies since its probability density function, cumulative distribution function and quantile functions can be expressed in closed form.

  3. Modified Kumaraswamy distribution - Wikipedia

    en.wikipedia.org/wiki/Modified_Kumaraswamy...

    It serves as an alternative to the beta and Kumaraswamy distributions for modeling double-bounded random variables. The MK distribution was originally proposed by Sagrillo, Guerra, and Bayer [1] through a transformation of the Kumaraswamy distribution. Its density exhibits an increasing-decreasing-increasing shape, which is not characteristic ...

  4. List of probability distributions - Wikipedia

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

    The Kumaraswamy distribution is as versatile as the Beta distribution but has simple closed forms for both the cdf and the pdf. The logit metalog distribution , which is highly shape-flexible, has simple closed forms, and can be parameterized with data using linear least squares.

  5. List of statistics articles - Wikipedia

    en.wikipedia.org/wiki/List_of_statistics_articles

    t-distribution – see Student's t-distribution (includes table) T distribution (disambiguation) t-statistic; Tag cloud – graphical display of info; Taguchi loss function; Taguchi methods; Tajima's D; Taleb distribution; Tampering (quality control) Taylor expansions for the moments of functions of random variables

  6. Shape of a probability distribution - Wikipedia

    en.wikipedia.org/wiki/Shape_of_a_probability...

    Considerations of the shape of a distribution arise in statistical data analysis, where simple quantitative descriptive statistics and plotting techniques such as histograms can lead on to the selection of a particular family of distributions for modelling purposes. The normal distribution, often called the "bell curve" Exponential distribution

  7. Location–scale family - Wikipedia

    en.wikipedia.org/wiki/Location–scale_family

    The following shows how to implement a location–scale family in a statistical package or programming environment where only functions for the "standard" version of a distribution are available. It is designed for R but should generalize to any language and library.

  8. Order statistic - Wikipedia

    en.wikipedia.org/wiki/Order_statistic

    Probability density functions of the order statistics for a sample of size n = 5 from an exponential distribution with unit scale parameter. In statistics, the kth order statistic of a statistical sample is equal to its kth-smallest value. [1]

  9. Beta distribution - Wikipedia

    en.wikipedia.org/wiki/Beta_distribution

    In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1) in terms of two positive parameters, denoted by alpha (α) and beta (β), that appear as exponents of the variable and its complement to 1, respectively, and control the shape of the distribution.