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  2. 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 .

  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. Lévy process - Wikipedia

    en.wikipedia.org/wiki/Lévy_process

    The distribution of a Lévy process has the property of infinite divisibility: given any integer n, the law of a Lévy process at time t can be represented as the law of the sum of n independent random variables, which are precisely the increments of the Lévy process over time intervals of length t/n, which are independent and identically ...

  5. Category : Infinitely divisible probability distributions

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

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  6. List of probability topics - Wikipedia

    en.wikipedia.org/wiki/List_of_probability_topics

    Infinite divisibility (probability) Method of moments (probability theory) Stability (probability) Stein's lemma; Characteristic function (probability theory) Lévy continuity theorem; Darmois–Skitovich theorem; Edgeworth series; Helly–Bray theorem; Kac–Bernstein theorem; Location parameter; Maxwell's theorem; Moment-generating function

  7. Independent increments - Wikipedia

    en.wikipedia.org/wiki/Independent_increments

    Independent increments are a basic property of many stochastic processes and are often incorporated in their definition. The notion of independent increments and independent S-increments of random measures plays an important role in the characterization of Poisson point process and infinite divisibility.

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