probability theory, Kolmogorov's two-series theorem is a result about the convergence of random series. It follows from Kolmogorov's inequality and is used...

theory, Kolmogorov's three-series theorem, named after Andrey Kolmogorov, gives a criterion for the almost sure convergence of an infinite series of random...

filter Kolmogorov's two-series theorem Rao–Blackwell–Kolmogorov theorem Khinchin–Kolmogorov theorem Kolmogorov population model Kolmogorov's Strong Law...

real analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariate continuous...

Evaluating Kolmogorov's Distribution; contains C implementation. This is the method used in Matlab. Paper on Computing the Two-Sided Kolmogorov–Smirnov Distribution;...

revised in December 1968, and cites both Solomonoff's and Kolmogorov's papers. The theorem says that, among algorithms that decode strings from their...

Glivenko–Cantelli theorem Zero–one law Kolmogorov's zero–one law Hewitt–Savage zero–one law Law of truly large numbers Littlewood's law Infinite monkey theorem Littlewood–Offord...

Fourier inversion theorem Fourier sine and cosine series Fourier transform Gibbs phenomenon Half range Fourier series Laurent series – the substitution...

Karhunen–Loève theorem (stochastic processes) Kolmogorov extension theorem (stochastic processes) Kolmogorov's three-series theorem (mathematical series) Le Cam's...

formalising probability. Bayesians will often motivate the Kolmogorov axioms by invoking Cox's theorem or the Dutch book arguments instead. The assumptions...

arXiv:2101.05390. Hecht-Nielsen, Robert (1987). "Kolmogorov's mapping neural network existence theorem". Proceedings of International Conference on Neural...

[X_{k}]<\infty .} This statement is known as Kolmogorov's strong law, see e.g. Sen & Singer (1993, Theorem 2.3.10). The weak law states that for a specified...

In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the statistical limits to possible data compression for...

In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...

Wiener–Khinchin theorem or Wiener–Khintchine theorem, also known as the Wiener–Khinchin–Einstein theorem or the Khinchin–Kolmogorov theorem, states that...

interpolation theorem. For p = 1 and infinity, the result is not true. The construction of an example of divergence in L1 was first done by Andrey Kolmogorov (see...

the probability of future events based on past events Invariance theorem Kolmogorov complexity – Measure of algorithmic complexity Minimum description...

Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories...

random variables and some more general stationary processes follows from Kolmogorov's zero–one law. Ergodicity of a continuous dynamical system means that...

Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proven by Euclid...

The Hewitt–Savage zero–one law is a theorem in probability theory, similar to Kolmogorov's zero–one law and the Borel–Cantelli lemma, that specifies that...

In probability theory, the central limit theorem states that, under certain circumstances, the probability distribution of the scaled mean of a random...

Bayes' theorem (alternatively Bayes' law or Bayes' rule, after Thomas Bayes) gives a mathematical rule for inverting conditional probabilities, allowing...

boundaries (the size characterizing the large scales will be denoted as L). Kolmogorov's idea was that in the Richardson's energy cascade this geometrical and...

these formulas is not quite standardised. Parseval's theorem was proved only for Fourier series, and was first proved by Lyapunov. But Parseval's formula...

impossible by Alonzo Church and Alan Turing in 1936. By the completeness theorem of first-order logic, a statement is universally valid if and only if it...

with any algebraic numerical coefficients 12. Extensions of Kronecker's theorem on Abelian fields to any algebraic realm of rationality 13. Impossibility...

Cox's theorem, named after the physicist Richard Threlkeld Cox, is a derivation of the laws of probability theory from a certain set of postulates. This...

statistic which is not complete. This is important because the Lehmann–Scheffé theorem cannot be applied to such models. Galili and Meilijson 2016 propose the...

in particular. Measure-preserving systems obey the Poincaré recurrence theorem, and are a special case of conservative systems. They provide the formal...