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  2. Metalog distribution - Wikipedia

    en.wikipedia.org/wiki/Metalog_distribution

    The metalog PDF converges to the standard normal PDF as the number of terms increases. With two terms, the metalog approximates the normal with a logistic distribution. With each increment in number of terms, the fit gets closer. With 10 terms, the metalog PDF and standard normal PDF are visually indistinguishable.

  3. Category:Systems of probability distributions - Wikipedia

    en.wikipedia.org/wiki/Category:Systems_of...

    This category is collections of probability distribution that have been brought together for a similar usage in Statistics to the Pearson system of distributions, or the Burr system. That is to have distributions that between them cover a range of behaviour that is not covered by any single one, such that a statistical analysis would select a ...

  4. Quantile-parameterized distribution - Wikipedia

    en.wikipedia.org/wiki/Quantile-parameterized...

    A quantile-parameterized distribution (QPD) is a probability distributions that is directly parameterized by data. They were created to meet the need for easy-to-use continuous probability distributions flexible enough to represent a wide range of uncertainties, such as those commonly encountered in business, economics, engineering, and science.

  5. List of probability distributions - Wikipedia

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

    The Birnbaum–Saunders distribution, also known as the fatigue life distribution, is a probability distribution used extensively in reliability applications to model failure times. The chi distribution. The noncentral chi distribution; The chi-squared distribution, which is the sum of the squares of n independent Gaussian random variables.

  6. Kernel (statistics) - Wikipedia

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

    In statistics, especially in Bayesian statistics, the kernel of a probability density function (pdf) or probability mass function (pmf) is the form of the pdf or pmf in which any factors that are not functions of any of the variables in the domain are omitted. [1] Note that such factors may well be functions of the parameters of the

  7. Probabilistic logic programming - Wikipedia

    en.wikipedia.org/wiki/Probabilistic_logic...

    Under the distribution semantics, a probabilistic logic program defines a probability distribution over interpretations of its predicates on its Herbrand universe. The probability of a ground query is then obtained from the joint distribution of the query and the worlds: it is the sum of the probability of the worlds where the query is true. [2 ...

  8. Logistic distribution - Wikipedia

    en.wikipedia.org/wiki/Logistic_distribution

    The metalog distribution is generalization of the logistic distribution, in which power series expansions in terms of are substituted for logistic parameters and . The resulting metalog quantile function is highly shape flexible, has a simple closed form, and can be fit to data with linear least squares.

  9. Phase-type distribution - Wikipedia

    en.wikipedia.org/wiki/Phase-type_distribution

    A phase-type distribution is a probability distribution constructed by a convolution or mixture of exponential distributions. [1] It results from a system of one or more inter-related Poisson processes occurring in sequence, or phases. The sequence in which each of the phases occurs may itself be a stochastic process.