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martingale process

См. также в других словарях:

  • Martingale (probability theory) — For the martingale betting strategy , see martingale (betting system). Stopped Brownian motion is an example of a martingale. It can be used to model an even coin toss betting game with the possibility of bankruptcy. In probability theory, a… …   Wikipedia

  • Martingale representation theorem — In probability theory, the martingale representation theorem states that a random variable which is measurable with respect to the filtration generated by a Brownian motion can be written in terms of an Itô integral with respect to this Brownian… …   Wikipedia

  • Martingale — can refer to: Martingale (probability theory), a stochastic process in which the conditional expectation of the next value, given the current and preceding values, is the current value Martingale (tack) for horses Martingale (collar) for dogs and …   Wikipedia

  • Martingale central limit theorem — In probability theory, the central limit theorem says that, under certain conditions, the sum of many independent identically distributed random variables, when scaled appropriately, converges in distribution to a standard normal distribution.… …   Wikipedia

  • Wiener process — In mathematics, the Wiener process is a continuous time stochastic process named in honor of Norbert Wiener. It is often called Brownian motion, after Robert Brown. It is one of the best known Lévy processes (càdlàg stochastic processes with… …   Wikipedia

  • Local martingale — In mathematics, a local martingale is a type of stochastic process, satisfying the localized version of the martingale property. Every martingale is a local martingale; every bounded local martingale is a martingale; however, in general a local… …   Wikipedia

  • Doob's martingale inequality — In mathematics, Doob s martingale inequality is a result in the study of stochastic processes. It gives a bound on the probability that a stochastic process exceeds any given value over a given interval of time. As the name suggests, the result… …   Wikipedia

  • Counting process — A counting process is a stochastic process {N(t), t ≥ 0} that possesses the following properties: N(t) ≥ 0. N(t) is an integer. If s ≤ t then N(s) ≤ N(t). If s < t, then N(t) − N(s) is the number of events occurred during the… …   Wikipedia

  • Doob martingale — A Doob martingale (also known as a Levy martingale) is a mathematical construction of a stochastic process which approximates a given random variable and has the martingale property with respect to the given filtration. It may be thought of as… …   Wikipedia

  • Consistent pricing process — A consistent pricing process (CPP) is any representation of (frictionless) prices of assets in a market. It is a stochastic process in a filtered probability space such that at time t the ith component can be thought of as a price for the ith… …   Wikipedia

  • CIR process — The CIR process (named after its creators John C. Cox, Jonathan E. Ingersoll, and Stephen A. Ross) is a Markov process with continuous paths defined by the following stochastic differential equation (SDE): where Wt is a standard Wiener process… …   Wikipedia

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