Ergodic information theory (7 Ergebnisse)

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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In informationtheory the asymptotic equipartition property (AEP) is a general propertyof the output samples of a stochastic source. It is fundamental to theconcept of typical set used in theories of compression. Roughlyspeaking, the theorem states that although there are many series ofresults that may be produced by a random process, the one actuallyproduced is most probably from a loosely- defined set of outcomes thatall have approximately the same chance of being the one actuallyrealized. (This is a consequence of the law of large numbers and ergodictheory.) Although there are individual outcomes which have a higherprobability than any outcome in this set, the vast number of outcomes inthe set almost guarantees that the outcome will come from the set.…