Markov process

Markov process
Markov process Mark"ov pro`cess, n. [after A. A. Markov, Russian mathematician, b. 1856, d. 1922.] (Statistics) a random process in which the probabilities of states in a series depend only on the properties of the immediately preceding state or the next preceeding state, independent of the path by which the preceding state was reached. It is distinguished from a {Markov chain} in that the states of a Markov process may be continuous as well as discrete. [Also spelled {Markoff process}.] [PJC]

The Collaborative International Dictionary of English. 2000.

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  • Markov process — [mär′kôf] n. a chain of random events in which only the present state influences the next future state, as in a genetic code: also Markoff process …   English World dictionary

  • Markov process — In probability theory and statistics, a Markov process, named after the Russian mathematician Andrey Markov, is a time varying random phenomenon for which a specific property (the Markov property) holds. In a common description, a stochastic… …   Wikipedia

  • Markov process — noun a simple stochastic process in which the distribution of future states depends only on the present state and not on how it arrived in the present state • Syn: ↑Markoff process • Hypernyms: ↑stochastic process • Hyponyms: ↑Markov chain,… …   Useful english dictionary

  • Markov process — Statistics. a process in which future values of a random variable are statistically determined by present events and dependent only on the event immediately preceding. Also, Markoff process. [1935 40; after Russian mathematician Andrei Andreevich …   Universalium

  • Markov process — Markovo vyksmas statusas T sritis fizika atitikmenys: angl. Markov process; Markovian process vok. Markow Prozeß, m; Markowscher Prozeß, m rus. марковский процесс, m; процесс Маркова, m pranc. processus de Markoff, m; processus marcovien, m;… …   Fizikos terminų žodynas

  • Markov process — noun Date: 1938 a stochastic process (as Brownian motion) that resembles a Markov chain except that the states are continuous; also Markov chain called also Markoff process …   New Collegiate Dictionary

  • Markov process — noun A stochastic process in which the probability distribution of the current state is conditionally independent of the path of past states. See Also: Markov property, Markov chain …   Wiktionary

  • Markov process — A stochastic process in which the probability of an event in the future is not affected by the past history of events …   Dictionary of molecular biology

  • Continuous-time Markov process — In probability theory, a continuous time Markov process is a stochastic process { X(t) : t ≥ 0 } that satisfies the Markov property and takes values from a set called the state space; it is the continuous time version of a Markov chain. The… …   Wikipedia

  • Semi-Markov process — A continuous time stochastic process is called a semi Markov process or Markov renewal process if the embedded jump chain (the discrete process registering what values the process takes) is a Markov chain, and where the holding times (time… …   Wikipedia

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