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continuous sample space

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  • Sample continuous process — In mathematics, a sample continuous process is a stochastic process whose sample paths are almost surely continuous functions.DefinitionLet ( Omega;, Sigma;, P) be a probability space. Let X : I times; Omega; rarr; S be a stochastic process,… …   Wikipedia

  • 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

  • Continuous-time stochastic process — In probability theory and statistics, a continuous time stochastic process, or a continuous space time stochastic process is a stochastic process for which the index variable takes a continuous set of values, as contrasted with a discrete time… …   Wikipedia

  • Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

  • Classical Wiener space — In mathematics, classical Wiener space is the collection of all continuous functions on a given domain (usually a sub interval of the real line), taking values in a metric space (usually n dimensional Euclidean space). Classical Wiener space is… …   Wikipedia

  • Separable space — In mathematics a topological space is called separable if it contains a countable dense subset; that is, there exists a sequence { x n } {n=1}^{infty} of elements of the space such that every nonempty open subset of the space contains at least… …   Wikipedia

  • Feller-continuous process — In mathematics, a Feller continuous process is a continuous time stochastic process satisfying a stronger continuity property than simple sample continuity. Intuitively, a Feller continuous process is one for which the expected value of suitable… …   Wikipedia

  • Comparison of Asian national space programs — Several Asian countries have national space programs, and they are considered to be competing with each other to achieve scientific and technological advancements in space. The media has occasionally called this competition the Asian space… …   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

  • Stationary process — In the mathematical sciences, a stationary process (or strict(ly) stationary process or strong(ly) stationary process) is a stochastic process whose joint probability distribution does not change when shifted in time or space. Consequently,… …   Wikipedia

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