identically distributed

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• 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

• Distributed 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… …   Wikipedia

• Distributed 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… …   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

• Central 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… …   Wikipedia

• Bapat–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… …   Wikipedia

• de 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… …   Wikipedia

• Maximum 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… …   Wikipedia

• Order 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… …   Wikipedia

• Compound 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… …   Wikipedia

• Probability-generating function — In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random variable. Probability generating functions are… …   Wikipedia