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  2. Density estimation - Wikipedia

    en.wikipedia.org/wiki/Density_Estimation

    The unobservable density function is thought of as the density according to which a large population is distributed; the data are usually thought of as a random sample from that population. [1] A variety of approaches to density estimation are used, including Parzen windows and a range of data clustering techniques, including vector quantization.

  3. Probability density function - Wikipedia

    en.wikipedia.org/wiki/Probability_density_function

    In probability theory, a probability density function (PDF), density function, or density of an absolutely continuous random variable, is a function whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the ...

  4. Convolution of probability distributions - Wikipedia

    en.wikipedia.org/wiki/Convolution_of_probability...

    The probability distribution of the sum of two or more independent random variables is the convolution of their individual distributions. The term is motivated by the fact that the probability mass function or probability density function of a sum of independent random variables is the convolution of their corresponding probability mass functions or probability density functions respectively.

  5. Saddlepoint approximation method - Wikipedia

    en.wikipedia.org/wiki/Saddlepoint_approximation...

    The saddlepoint approximation method, initially proposed by Daniels (1954) [1] is a specific example of the mathematical saddlepoint technique applied to statistics, in particular to the distribution of the sum of independent random variables.

  6. Continuous uniform distribution - Wikipedia

    en.wikipedia.org/wiki/Continuous_uniform...

    Any probability density function integrates to , so the probability density function of the continuous uniform distribution is graphically portrayed as a rectangle where ⁠ ⁠ is the base length and ⁠ ⁠ is the height. As the base length increases, the height (the density at any particular value within the distribution boundaries) decreases.

  7. Symbolab - Wikipedia

    en.wikipedia.org/wiki/Symbolab

    Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]

  8. Johnson's SU-distribution - Wikipedia

    en.wikipedia.org/wiki/Johnson's_SU-distribution

    This article needs attention from an expert in statistics. The specific problem is: completion to reasonable standard for probability distributions. WikiProject Statistics may be able to help recruit an expert.

  9. Copula (statistics) - Wikipedia

    en.wikipedia.org/wiki/Copula_(statistics)

    Density and contour plot of a Bivariate Gaussian Distribution Density and contour plot of two Normal marginals joint with a Gumbel copula. Sklar's theorem, named after Abe Sklar, provides the theoretical foundation for the application of copulas. [5] [6] Sklar's theorem states that every multivariate cumulative distribution function