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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. Category : Infinitely divisible probability distributions

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

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  5. 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 ...

  6. Zeno's paradoxes - Wikipedia

    en.wikipedia.org/wiki/Zeno's_paradoxes

    Zeno's arguments may then be early examples of a method of proof called reductio ad absurdum, also known as proof by contradiction. Thus Plato has Zeno say the purpose of the paradoxes "is to show that their hypothesis that existences are many, if properly followed up, leads to still more absurd results than the hypothesis that they are one."

  7. Generalised hyperbolic distribution - Wikipedia

    en.wikipedia.org/wiki/Generalised_hyperbolic...

    Barndorff-Nielsen and Halgreen proved that the GIG distribution is infinitely divisible and since the GH distribution can be obtained as a normal variance-mean mixture where the mixing distribution is the generalized inverse Gaussian distribution, Barndorff-Nielsen and Halgreen showed the GH distribution is infinitely divisible as well.

  8. Zeta distribution - Wikipedia

    en.wikipedia.org/wiki/Zeta_distribution

    For example, if A is the set of ... Infinite divisibility. The Zeta distribution can be constructed with a sequence of independent random variables with a geometric ...

  9. Extension (metaphysics) - Wikipedia

    en.wikipedia.org/wiki/Extension_(metaphysics)

    Using a mathematical approach, specifically geometric models, Gottfried Leibniz and Descartes discussed the infinite divisibility of extension. Actual divisibility may be limited due to unavailability of cutting instruments, but its possibility of breaking into smaller pieces is infinite.