stochastic limit
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Stochastic resonance — (also known as SR) is observed when noise added to a system improves the systems performance in some fashion. More technically, SR occurs if the signal to noise ratio of a nonlinear system or device increases for moderate values of noise… … Wikipedia
Stochastic — (from the Greek Στόχος for aim or guess ) means random.A stochastic process is one whose behavior is non deterministic in that a state s next state is determined both by the process s predictable actions and by a random element. Stochastic crafts … Wikipedia
Stochastic process — A stochastic process, or sometimes random process, is the counterpart to a deterministic process (or deterministic system) in probability theory. Instead of dealing with only one possible reality of how the process might evolve under time (as is… … Wikipedia
Stochastic game — In game theory, a stochastic game is a dynamic, competitive game with probabilistic transitions played by one or more players. The game is played in a sequence of stages. At the beginning of each stage the game is in some state. The players… … Wikipedia
Stochastic matrix — For a matrix whose elements are stochastic, see Random matrix In mathematics, a stochastic matrix (also termed probability matrix, transition matrix, substitution matrix, or Markov matrix) is a matrix used to describe the transitions of a Markov… … Wikipedia
Stochastic context-free grammar — A stochastic context free grammar (SCFG; also probabilistic context free grammar, PCFG) is a context free grammar in which each production is augmented with a probability. The probability of a derivation (parse) is then the product of the… … Wikipedia
Infinitesimal generator (stochastic processes) — In mathematics mdash; specifically, in stochastic analysis mdash; the infinitesimal generator of a stochastic process is a partial differential operator that encodes a great deal of information about the process. The generator is used in… … 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
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
Poisson limit theorem — The Poisson theorem gives a Poisson approximation to the binomial distribution, under certain conditions. [Papoulis, Pillai, Probability, Random Variables, and Stochastic Processes , 4th Edition] The theorem If:n ightarrow infty, p ightarrow 0,… … Wikipedia
Квантовая теория открытых систем — Открытая система в квантовой механике квантовая система, которая может обмениваться энергией и веществом с внешней средой. В определенном смысле всякая квантовая система может рассматриваться как открытая система, поскольку измерение любой… … Википедия
