- left-continuous martingale
- мат. непрерывный слева мартингал
Большой англо-русский и русско-английский словарь. 2001.
Большой англо-русский и русско-английский словарь. 2001.
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
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
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
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
Semimartingale — In probability theory, a real valued process X is called a semimartingale if it can be decomposed as the sum of a local martingale and an adapted finite variation process.Semimartingales are good integrators , forming the largest class of… … Wikipedia
Brownian motion — This article is about the physical phenomenon; for the stochastic process, see Wiener process. For the sports team, see Brownian Motion (Ultimate). For the mobility model, see Random walk. Brownian motion (named after the botanist Robert Brown)… … Wikipedia
Quadratic variation — In mathematics, quadratic variation is used in the analysis of stochastic processes such as Brownian motion and martingales. Quadratic variation is just one kind of variation of a process. Definition Suppose that X t is a real valued stochastic… … Wikipedia
probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… … Universalium
Girsanov theorem — In probability theory, the Girsanov theorem tells how stochastic processes change under changes in measure. The theorem is especially important in the theory of financial mathematics as it tells how to convert from the physical measure which… … 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
Black–Scholes — The Black–Scholes model (pronounced /ˌblæk ˈʃoʊlz/[1]) is a mathematical model of a financial market containing certain derivative investment instruments. From the model, one can deduce the Black–Scholes formula, which gives the price of European … Wikipedia