dominated convergence

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• Dominated convergence theorem — In measure theory, Lebesgue s dominated convergence theorem provides sufficient conditions under which two limit processes commute, namely Lebesgue integration and almost everywhere convergence of a sequence of functions. The dominated… …   Wikipedia

• Convergence in measure — can refer to two distinct mathematical concepts which both generalize the concept of convergence in probability. Contents 1 Definitions 2 Properties 3 Counterexamples 4 Topology …   Wikipedia

• Convergence of random variables — In probability theory, there exist several different notions of convergence of random variables. The convergence of sequences of random variables to some limit random variable is an important concept in probability theory, and its applications to …   Wikipedia

• Lévy's convergence theorem — In probability theory Lévy s convergence theorem (sometimes also called Lévy s dominated convergence theorem) states that for a sequence of random variables (X n)^infty {n=1} where *X nxrightarrow{a.s.} X and *|X n| < Y, where Y is some random… …   Wikipedia

• Monotone convergence theorem — In mathematics, there are several theorems dubbed monotone convergence; here we present some major examples. Contents 1 Convergence of a monotone sequence of real numbers 1.1 Theorem 1.2 Proof 1.3 …   Wikipedia

• Vitali convergence theorem — In mathematics, the Vitali convergence theorem is a generalization of the more well known dominated convergence theorem of Lebesgue. It is useful when a dominating function cannot be found for the sequence of functions in question; when such a… …   Wikipedia

• Supplier convergence — is a term used to describe the ongoing trend of companies offering a combination of services or products that were previously supplied by separate companies. It is not to be confused with product convergence, where one product combines and… …   Wikipedia

• Anti-Capitalist Convergence — Anti Capitalist Communists (ACC) are organizations which sprang up in North America in the late 1990s and early 2000s as forms of coordinating activities by the growing social justice, anarchist, and environmentalist anti capitalists. Many of the …   Wikipedia

• Itō calculus — Itō calculus, named after Kiyoshi Itō, extends the methods of calculus to stochastic processes such as Brownian motion (Wiener process). It has important applications in mathematical finance and stochastic differential equations.The central… …   Wikipedia

• Ergodic theory — is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical …   Wikipedia

• List of real analysis topics — This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods …   Wikipedia