identically distributed

  • 1Independent 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… …

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  • 2Distributed lag — In statistics and econometrics, a distributed lag model is a model for time series data in which a regression equation is used to predict current values of a dependent variable based on both the current values of an explanatory variable and the… …

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  • 3Distributed operating system — A distributed operating system is the logical aggregation of operating system software over a collection of independent, networked, communicating, and spatially disseminated computational nodes.[1] Individual system nodes each hold a discrete… …

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  • 4probability 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.… …

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  • 5Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… …

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  • 6Bapat–Beg theorem — In probability theory, the Bapat–Beg theorem R. B. Bapat and M. I. Beg. Order statistics for nonidentically distributed variables and permanents. Sankhyā Ser. A , 51(1):79 ndash;93, 1989. [http://www.ams.org/mathscinet getitem?mr=1065561… …

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  • 7de Finetti's theorem — In probability theory, de Finetti s theorem explains why exchangeable observations are conditionally independent given some latent variable to which an epistemic probability distribution would then be assigned. It is named in honor of Bruno de… …

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  • 8Maximum likelihood — In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of a statistical model. When applied to a data set and given a statistical model, maximum likelihood estimation provides estimates for the model s… …

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  • 9Order statistic — Probability distributions for the n = 5 order statistics of an exponential distribution with θ = 3 In statistics, the kth order statistic of a statistical sample is equal to its kth smallest value. Together with rank statistics, order statistics… …

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  • 10Compound Poisson distribution — In probability theory, a compound Poisson distribution is the probability distribution of the sum of a Poisson distributed number of independent identically distributed random variables. In the simplest cases, the result can be either a… …

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