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Ito process

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  • 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

  • Itō diffusion — In mathematics mdash; specifically, in stochastic analysis mdash; an Itō diffusion is a solution to a specific type of stochastic differential equation. Itō diffusions are named after the Japanese mathematician Kiyoshi Itō.OverviewA (time… …   Wikipedia

  • Itō's lemma — In mathematics, Itō s lemma is used in Itō stochastic calculus to find the differential of a function of a particular type of stochastic process. It is the stochastic calculus counterpart of the chain rule in ordinary calculus and is best… …   Wikipedia

  • Ito — ( Itō , Itoh , Itou ) is a Japanese surname. In kanji it is commonly written as 伊藤, but sometimes it is written as 伊東 or 伊都. Ito (糸) is a Japanese noun meaning thread; yarn; string , and is also used as a surname in Japan.People*Hiroshi Ito, a… …   Wikipedia

  • Itō isometry — In mathematics, the Itō isometry is a crucial fact about Itō stochastic integrals. One of its main applications is to enable the computation of variances for stochastic processes.Let W : [0, T] imes Omega o mathbb{R} denote the canonical real… …   Wikipedia

  • Ornstein–Uhlenbeck process — Not to be confused with Ornstein–Uhlenbeck operator. In mathematics, the Ornstein–Uhlenbeck process (named after Leonard Ornstein and George Eugene Uhlenbeck), is a stochastic process that, roughly speaking, describes the velocity of a massive… …   Wikipedia

  • Continuous stochastic process — Not to be confused with Continuous time stochastic process. In the probability theory, a continuous stochastic process is a type of stochastic process that may be said to be continuous as a function of its time or index parameter. Continuity is a …   Wikipedia

  • Adapted process — In the study of stochastic processes, an adapted process (or non anticipating process) is one that cannot see into the future . An informal interpretation[1] is that X is adapted if and only if, for every realisation and every n, Xn is known at… …   Wikipedia

  • Feller-continuous process — In mathematics, a Feller continuous process is a continuous time stochastic process satisfying a stronger continuity property than simple sample continuity. Intuitively, a Feller continuous process is one for which the expected value of suitable… …   Wikipedia

  • Knowledge process outsourcing — (KPO) is a form of outsourcing, in which knowledge related and information related work is carried out by workers in a different company or by a subsidiary of the same organization, which may be in the same country or in an offshore location to… …   Wikipedia

  • Progressively measurable process — In mathematics, progressive measurability is a property of stochastic processes. A progressively measurable process cannot see into the future , but being progressively measurable is a strictly stronger property than the notion of being an… …   Wikipedia

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