probability of large deviations

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• Large deviations theory — In Probability Theory, the Large Deviations Theory concerns the asymptotic behaviour of remote tails of sequences of probability distributions. Some basic ideas of the theory can be tracked back to Laplace and Cramér, although a clear unified… …   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

• Contraction principle (large deviations theory) — In mathematics specifically, in large deviations theory the contraction principle is a theorem that states how a large deviation principle on one space pushes forward to a large deviation principle on another space via a continuous function.… …   Wikipedia

• Laplace principle (large deviations theory) — In mathematics, Laplace s principle is a basic theorem in large deviations theory, similar to Varadhan s lemma. It gives an asymptotic expression for the Lebesgue integral of exp(− theta; phi; ( x )) over a fixed set A as theta; becomes large.… …   Wikipedia

• probability and statistics — ▪ mathematics Introduction       the branches of mathematics concerned with the laws governing random events, including the collection, analysis, interpretation, and display of numerical data. Probability has its origin in the study of gambling… …   Universalium

• Principe de grandes déviations — Le principe de grandes déviations, en théorie des probabilités, concerne le comportement asymptotique de queues de suite de loi de probabilités. Quelques premières idées de la théorie ont été données par Laplace et Cramér ; depuis, une… …   Wikipédia en Français

• Tilted large deviation principle — In mathematics mdash; specifically, in large deviations theory mdash; the tilted large deviation principle is a result that allows one to generate a new large deviation principle from an old one by tilting , i.e. integration against an… …   Wikipedia

• Free probability — is a mathematical theory which studies non commutative random variables. The freeness property is the analogue of the classical notion of independence, and it is connected with free products. This theory was initiated by Dan Voiculescu around… …   Wikipedia

• Standard deviation — In probability and statistics, the standard deviation is a measure of the dispersion of a collection of values. It can apply to a probability distribution, a random variable, a population or a data set. The standard deviation is usually denoted… …   Wikipedia

• liquid — liquidly, adv. liquidness, n. /lik wid/, adj. 1. composed of molecules that move freely among themselves but do not tend to separate like those of gases; neither gaseous nor solid. 2. of, pertaining to, or consisting of liquids: a liquid diet. 3 …   Universalium

• List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… …   Wikipedia