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expectation of a random variable

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  • Random variable — A random variable is a rigorously defined mathematical entity used mainly to describe chance and probability in a mathematical way. The structure of random variables was developed and formalized to simplify the analysis of games of chance,… …   Wikipedia

  • Multivariate random variable — In mathematics, probability, and statistics, a multivariate random variable or random vector is a list of mathematical variables each of whose values is unknown, either because the value has not yet occurred or because there is imperfect… …   Wikipedia

  • Random permutation statistics — The statistics of random permutations, such as the cycle structure of a random permutation are of fundamental importance in the analysis of algorithms, especially of sorting algorithms, which operate on random permutations. Suppose, for example,… …   Wikipedia

  • Conditional expectation — In probability theory, a conditional expectation (also known as conditional expected value or conditional mean) is the expected value of a real random variable with respect to a conditional probability distribution. The concept of conditional… …   Wikipedia

  • Algebra of random variables — In the algebraic axiomatization of probability theory, the primary concept is not that of probability of an event, but rather that of a random variable. Probability distributions are determined by assigning an expectation to each random variable …   Wikipedia

  • Expectation-maximization algorithm — An expectation maximization (EM) algorithm is used in statistics for finding maximum likelihood estimates of parameters in probabilistic models, where the model depends on unobserved latent variables. EM alternates between performing an… …   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

  • Dummy variable (statistics) — In statistics and econometrics, particularly in regression analysis, a dummy variable (also known as an indicator variable) is one that takes the values 0 or 1 to indicate the absence or presence of some categorical effect that may be expected to …   Wikipedia

  • Law of total expectation — The proposition in probability theory known as the law of total expectation, the law of iterated expectations, the tower rule, the smoothing theorem, among other names, states that if X is an integrable random variable (i.e., a random variable… …   Wikipedia

  • Omitted-variable bias — In statistics, omitted variable bias (OVB) occurs when a model is created which incorrectly leaves out one or more important causal factors. The bias is created when the model compensates for the missing factor by over or under estimating one of… …   Wikipedia

  • Large deviations of Gaussian random functions — A random function ndash; of either one variable (a random process), or two or more variables(a random field) ndash; is called Gaussian if every finite dimensional distribution is a multivariate normal distribution. Gaussian random fields on the… …   Wikipedia

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