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  2. Category : Infinitely divisible probability distributions

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

    Stable distributions (1 C, 8 P) Pages in category "Infinitely divisible probability distributions" The following 18 pages are in this category, out of 18 total.

  3. Infinite divisibility (probability) - Wikipedia

    en.wikipedia.org/wiki/Infinite_divisibility...

    The concept of infinite divisibility of probability distributions was introduced in 1929 by Bruno de Finetti. This type of decomposition of a distribution is used in probability and statistics to find families of probability distributions that might be natural choices for certain models or applications. Infinitely divisible distributions play ...

  4. Infinite divisibility - Wikipedia

    en.wikipedia.org/wiki/Infinite_divisibility

    Infinite divisibility arises in different ways in philosophy, physics, economics, order theory (a branch of mathematics), and probability theory (also a branch of mathematics). One may speak of infinite divisibility, or the lack thereof, of matter , space , time , money , or abstract mathematical objects such as the continuum .

  5. Category : Probability distributions with non-finite variance

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

    Probability distributions which have infinite or undefined variance for at least some values of their parameters. Pages in category "Probability distributions with non-finite variance" The following 30 pages are in this category, out of 30 total.

  6. Division lattice - Wikipedia

    en.wikipedia.org/wiki/Division_lattice

    The non-negative integers partially ordered by divisibility. The division lattice is an infinite complete bounded distributive lattice whose elements are the natural numbers ordered by divisibility. Its least element is 1, which divides all natural numbers, while its greatest element is 0, which is divisible by all natural numbers.

  7. Indecomposable distribution - Wikipedia

    en.wikipedia.org/wiki/Indecomposable_distribution

    The simplest examples are Bernoulli-distributions: if = {,, then the probability distribution of X is indecomposable. Proof: Given non-constant distributions U and V, so that U assumes at least two values a, b and V assumes two values c, d, with a < b and c < d, then U + V assumes at least three distinct values: a + c, a + d, b + d (b + c may be equal to a + d, for example if one uses 0, 1 and ...

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