- ergodic probability
- мат. эргодическая вероятность
Большой англо-русский и русско-английский словарь. 2001.
ergodic probability
Смотреть что такое "ergodic probability" в других словарях:
Ergodic measure — In mathematics, specifically in ergodic theory, an ergodic measure is a measure that satisfies the ergodic hypothesis for a given map of a measurable space into itself. Intuitively, an ergodic measure is one with respect to which the points of… … 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
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
Ergodic sequence — In mathematics, an ergodic sequence is a certain type of integer sequence, having certain equidistribution properties.DefinitionLet A = {a j} be an infinite, strictly increasing sequence of positive integers. Then, given an integer q , this… … Wikipedia
Ergodic (adjective) — In mathematics and physics, the adjective ergodic is used to imply that a system satisfies the ergodic hypothesis of thermodynamics or that it is a system studied in ergodic theory. Formal definitionLet (X, Sigma, mu) be a probability space, and… … Wikipedia
Ergodic process — In signal processing, a stochastic process is said to be ergodic if its statistical properties (such as its mean and variance) can be deduced from a single, sufficiently long sample (realization) of the process. Specific definitions One can… … Wikipedia
Probability measure — In some cases, statistical physics uses probability measures, but not all measures it uses are probability measures.[1][2] In mathematics, a probability measure is a real valued function defined on a set … Wikipedia
ergodic — adjective Etymology: International Scientific Vocabulary erg + ode Date: 1926 1. of or relating to a process in which every sequence or sizable sample is equally representative of the whole (as in regard to a statistical parameter) 2. involving… … New Collegiate Dictionary
ergodic — adjective positive recurrent aperiodic state of stochastic systems; tending in probability to a limiting form that is independent of the initial conditions • Similar to: ↑random • Topics: ↑statistics … Useful english dictionary
Maximal ergodic theorem — The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics. Suppose that is a probability space, that is a (possibly noninvertible) measure preserving transformation, and that . Define f * by The … Wikipedia
Standard probability space — In probability theory, a standard probability space (called also Lebesgue Rokhlin probability space) is a probability space satisfying certain assumptions introduced by Vladimir Rokhlin in 1940 [1] . He showed that the unit interval endowed with… … Wikipedia
