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stationary random function

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  • 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

  • Stationary sequence — A stationary sequence is a random sequence such that the joint PDF (probability density function) of the sequence is invariant over time. If some random sequence X [n] is stationary then the following will hold:F X(x n, x {n+1},...,x {n+N… …   Wikipedia

  • Covariance function — In probability theory and statistics, covariance is a measure of how much two variables change together and the covariance function describes the variance of a random variable process or field. For a random field or stochastic process Z(x) on a… …   Wikipedia

  • Convergence of random variables — In probability theory, there exist several different notions of convergence of random variables. The convergence of sequences of random variables to some limit random variable is an important concept in probability theory, and its applications to …   Wikipedia

  • Survival function — The survival function, also known as a survivor function or reliability function, is a property of any random variable that maps a set of events, usually associated with mortality or failure of some system, onto time. It captures the probability… …   Wikipedia

  • Cross-power spectral density function of stationary dependent random processes — Источник: ГОСТ 21878 76: Случайные процессы и динамические системы. Термины и определения оригинал документа …   Словарь-справочник терминов нормативно-технической документации

  • Georges Matheron — Georges François Paul Marie Matheron (1930 August 7, 2000) was a French mathematician and geologist, known as the founder of geostatistics and a co founder (together with Jean Serra) of mathematical morphology. In 1968 he created the Centre de… …   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

  • Variogram — In spatial statistics the theoretical variogram 2γ(x,y) is a function describing the degree of spatial dependence of a spatial random field or stochastic process Z(x). It is defined as the variance of the difference between field values at two… …   Wikipedia

  • Whittaker–Shannon interpolation formula — The Whittaker–Shannon interpolation formula or sinc interpolation is a method to reconstruct a continuous time bandlimited signal from a set of equally spaced samples. Contents 1 Definition 2 Validity condition 3 Interpolation as convolution sum …   Wikipedia

  • Wiener process — In mathematics, the Wiener process is a continuous time stochastic process named in honor of Norbert Wiener. It is often called Brownian motion, after Robert Brown. It is one of the best known Lévy processes (càdlàg stochastic processes with… …   Wikipedia

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