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
Lévy continuity theorem — The Lévy continuity theorem in probability theory, named after the French mathematician Paul Lévy, is the basis for one approach to prove the central limit theorem and it is one of the central theorems concerning characteristic functions. Suppose … Wikipedia
Continuity — may refer to: In mathematics: The opposing concept to discreteness; common examples include: Continuous probability distribution or random variable in probability and statistics Continuous game, a generalization of games used in game theory Law… … Wikipedia
Continuity equation — A continuity equation in physics is a differential equation that describes the transport of a conserved quantity. Since mass, energy, momentum, electric charge and other natural quantities are conserved under their respective appropriate… … Wikipedia
Continuity property — In mathematics, the continuity property may be presented as follows.:Suppose that f : [ a , b ] rarr; R is a continuous function. Then the image f ( [ a , b ] ) is a closed bounded interval.The theorem is the combination of the intermediate value … Wikipedia
Uniform continuity — In mathematical analysis, a function f ( x ) is called uniformly continuous if, roughly speaking, small changes in the input x effect small changes in the output f ( x ) ( continuity ), and furthermore the size of the changes in f ( x ) depends… … Wikipedia
Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… … Wikipedia
Kolmogorov's theorem — is any of several different results by Andrey Kolmogorov:;In statistics * Kolmogorov Smirnov test;In probability theory * Hahn Kolmogorov theorem * Kolmogorov existence theorem * Kolmogorov continuity theorem * Kolmogorov s three series theorem * … Wikipedia
Absolute continuity — In mathematics, the relationship between the two central operations of calculus, differentiation and integration, stated by fundamental theorem of calculus in the framework of Riemann integration, is generalized in several directions, using… … Wikipedia
Mean value theorem — For the theorem in harmonic function theory, see Harmonic function#Mean value property. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus Derivative Change of variables … Wikipedia
