Large Deviations Techniques and Applications

The theory of large deviations deals with the evaluation, for a family of probability measures parameterized by a real valued variable, of the probabilities of events which decay exponentially in the parameter. Originally developed in the context of statistical mechanics and of (random) dynamical sy...

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Auteurs principaux: Dembo, Amir, 1958-...., mathématicien, Zeitouni, Ofer, 1960-...., mathématicien (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg 2010.
Cham : Springer Nature
Édition:Corrected printing of the 1998 edition.
Collection:Stochastic Modelling and Applied Probability 38
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Edition sous un autre format:• Large deviations techniques and applications, Amir Dembo, Ofer Zeitouni, Corrected printing of the 1998 edition, 2010, New York, Springer, 1 vol. (XVI-396 p.), Stochastic modelling and applied probability, 978-3-642-03310-0
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Résumé:The theory of large deviations deals with the evaluation, for a family of probability measures parameterized by a real valued variable, of the probabilities of events which decay exponentially in the parameter. Originally developed in the context of statistical mechanics and of (random) dynamical systems, it proved to be a powerful tool in the analysis of systems where the combined effects of random perturbations lead to a behavior significantly different from the noiseless case. The volume complements the central elements of this theory with selected applications in communication and control systems, bio-molecular sequence analysis, hypothesis testing problems in statistics, and the Gibbs conditioning principle in statistical mechanics. Starting with the definition of the large deviation principle (LDP), the authors provide an overview of large deviation theorems in
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ISBN:9783642033117
ISSN:2197-439X
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