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continuous in probability

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  • Continuous stochastic process — Not to be confused with Continuous time stochastic process. In the probability theory, a continuous stochastic process is a type of stochastic process that may be said to be continuous as a function of its time or index parameter. Continuity is a …   Wikipedia

  • Probability theory — is the branch of mathematics concerned with analysis of random phenomena.[1] The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non deterministic events or measured… …   Wikipedia

  • Probability — is the likelihood or chance that something is the case or will happen. Probability theory is used extensively in areas such as statistics, mathematics, science and philosophy to draw conclusions about the likelihood of potential events and the… …   Wikipedia

  • Probability distribution — This article is about probability distribution. For generalized functions in mathematical analysis, see Distribution (mathematics). For other uses, see Distribution (disambiguation). In probability theory, a probability mass, probability density …   Wikipedia

  • Probability density function — Boxplot and probability density function of a normal distribution N(0, σ2). In probability theory, a probability density function (pdf), or density of a continuous random variable is a function that describes the relative likelihood for this… …   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

  • Continuous probability distribution — In probability theory, a probability distribution is called continuous if its cumulative distribution function is continuous. That is equivalent to saying that for random variables X with the distribution in question, Pr [ X = a ] = 0 for all… …   Wikipedia

  • 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

  • Continuous-time quantum walk — A Continuous time quantum walk (CTQW) is a walk on a given connected graph that is dictated by a time varying unitary matrix that relies on the Hamiltonian of the quantum system and the adjacency matrix. CTQW belongs to what is known as Quantum… …   Wikipedia

  • Continuous mapping theorem — In probability theory, the continuous mapping theorem states that continuous functions are limit preserving even if their arguments are sequences of random variables. A continuous function, in Heine’s definition, is such a function that maps… …   Wikipedia

  • Probability metric — A probability metric is a function defining a distance between random variables or vectors. In particular the probability metric does not satisfy the identity of indiscernibles condition required to be satisfied by the metric of the metric… …   Wikipedia

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