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family of random variables

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  • Poisson random measure — Let (E, mathcal A, mu) be some measurable space with sigma finite measure mu. The Poisson random measure with intensity measure mu is a family of random variables {N A} {Ainmathcal{A defined on some probability space (Omega, mathcal F, mathrm{P}) …   Wikipedia

  • Exponential family — Not to be confused with the exponential distribution. Natural parameter links here. For the usage of this term in differential geometry, see differential geometry of curves. In probability and statistics, an exponential family is an important… …   Wikipedia

  • Conditional random field — A conditional random field (CRF) is a statistical modelling method often applied in pattern recognition. More specifically it is a type of discriminative undirected probabilistic graphical model. It is used to encode known relationships between… …   Wikipedia

  • Errors-in-variables models — In statistics and econometrics, errors in variables models or measurement errors models are regression models that account for measurement errors in the independent variables. In contrast, standard regression models assume that those regressors… …   Wikipedia

  • Rothschild family — House of Rothschild redirects here. For the film, see The House of Rothschild. For the German surname Rothschild , see Rothschild (disambiguation). For one of the investment banks founded by the family, see N M Rothschild Sons. For one of the… …   Wikipedia

  • Natural exponential family — In probability and statistics, the natural exponential family (NEF) is a class of probability distributions that is a special case of an exponential family (EF). Many common distributions are members of a natural exponential family, and the use… …   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

  • Skorokhod integral — In mathematics, the Skorokhod integral, often denoted delta; , is an operator of great importance in the theory of stochastic processes. It is named after the Ukrainian mathematician Anatoliy Skorokhod. Part of its importance is that it unifies… …   Wikipedia

  • stochastic process — In probability theory, a family of random variables indexed to some other set and having the property that for each finite subset of the index set, the collection of random variables indexed to it has a joint probability distribution. It is one… …   Universalium

  • Varadhan's lemma — In mathematics, Varadhan s lemma is a result in large deviations theory. The result gives information on the asymptotic distribution of a statistic φ ( Z ε ) of a family of random variables Z ε as ε becomes small in terms of a rate function for… …   Wikipedia

  • Monotone likelihood ratio property — is a property of a family of probability distributions described by their probability density functions (PDFs). A family of density functions { f heta (x)} { hetain Theta} indexed by a parameter heta taking values in a set Theta is said to have… …   Wikipedia

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