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mutually independent random variables

См. также в других словарях:

  • Independent and identically-distributed random variables — IID or iid redirects here. For other uses, see: IID (disambiguation).In probability theory, a sequence or other collection of random variables is independent and identically distributed (i.i.d.) if each has the same probability distribution as… …   Wikipedia

  • 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

  • Pairwise independence — In probability theory, a pairwise independent collection of random variables is a set of random variables any two of which are independent. Any collection of mutually independent random variables is pairwise independent, but some pairwise… …   Wikipedia

  • Independence (probability theory) — In probability theory, to say that two events are independent intuitively means that the occurrence of one event makes it neither more nor less probable that the other occurs. For example: The event of getting a 6 the first time a die is rolled… …   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

  • 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

  • Statistical independence — In probability theory, to say that two events are independent, intuitively means that the occurrence of one event makes it neither more nor less probable that the other occurs. For example:* The event of getting a 6 the first time a die is rolled …   Wikipedia

  • Conditioning (probability) — Beliefs depend on the available information. This idea is formalized in probability theory by conditioning. Conditional probabilities, conditional expectations and conditional distributions are treated on three levels: discrete probabilities,… …   Wikipedia

  • distribution — 1. The passage of the branches of arteries or nerves to the tissues and organs. 2. The area in which the branches of an artery or a nerve terminate, or the area supplied by such an artery or nerve. 3. The relative numbers of individuals in each… …   Medical dictionary

  • Lévy process — In probability theory, a Lévy process, named after the French mathematician Paul Lévy, is any continuous time stochastic process that starts at 0, admits càdlàg modification and has stationary independent increments this phrase will be explained… …   Wikipedia

  • statistics — /steuh tis tiks/, n. 1. (used with a sing. v.) the science that deals with the collection, classification, analysis, and interpretation of numerical facts or data, and that, by use of mathematical theories of probability, imposes order and… …   Universalium

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