**Kolmogorov continuity theorem** — In mathematics, the Kolmogorov continuity theorem is a theorem that guarantees that a stochastic process that satisfies certain constrains on the moments of its increments will be continuous (or, more precisely, have a continuous version ). It is … Wikipedia

**Kolmogorov extension theorem** — In mathematics, the Kolmogorov extension theorem (also known as Kolmogorov existence theorem) is a theorem that guarantees that a suitably consistent collection of finite dimensional distributions will define a stochastic process. It is credited… … Wikipedia

**Kolmogorov-Smirnov test** — In statistics, the Kolmogorov ndash;Smirnov test (also called the K S test for brevity) is a form of minimum distance estimation used as a nonparametric test of equality of one dimensional probability distributions used to compare a sample with a … Wikipedia

**Kolmogorov complexity** — In algorithmic information theory (a subfield of computer science), the Kolmogorov complexity of an object, such as a piece of text, is a measure of the computational resources needed to specify the object. It is named after Soviet Russian… … Wikipedia

**Kolmogorov–Arnold–Moser theorem** — The Kolmogorov–Arnold–Moser theorem is a result in dynamical systems about the persistence of quasi periodic motions under small perturbations. The theorem partly resolves the small divisor problem that arises in the perturbation theory of… … Wikipedia

**Kolmogorov** — Andrei Nikolajewitsch Kolmogorow Andrei Nikolajewitsch Kolmogorow (russisch Андрей Николаевич Колмогоров, wiss. Transliteration Andrej Nikolaevič Kolmogorov; * 12.jul./ 25. April 1903 … Deutsch Wikipedia

**Theorem** — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements … Wikipedia

**Kolmogorov's inequality** — In probability theory, Kolmogorov s inequality is a so called maximal inequality that gives a bound on the probability that the partial sums of a finite collection of independent random variables exceed some specified bound. The inequality is… … Wikipedia

**Kolmogorov’s criterion** — In probability theory, Kolmogorov s criterion, named after Andrey Kolmogorov, is a theorem in Markov processes which states that a stationary Markov chain with transition matrix P and state space S is reversible if and only if its transition… … Wikipedia

**Kolmogorov-Axiome** — Die Wahrscheinlichkeitstheorie oder Wahrscheinlichkeitsrechnung ist ein Teilgebiet der Mathematik. Gemeinsam mit der Kombinatorik und der mathematischen Statistik bildet sie das mathematische Teilgebiet der Stochastik, die von der Beschreibung… … Deutsch Wikipedia