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- Asymptotic_equipartition_property abstract "In information theory, the asymptotic equipartition property (AEP) is a general property of the output samples of a stochastic source. It is fundamental to the concept of typical set used in theories of compression.Roughly speaking, the theorem states that although there are many series of results that may be produced by a random process, the one actually produced is most probably from a loosely defined set of outcomes that all have approximately the same chance of being the one actually realized. (This is a consequence of the law of large numbers and ergodic theory.) Although there are individual outcomes which have a higher probability than any outcome in this set, the vast number of outcomes in the set almost guarantees that the outcome will come from the set. One way of intuitively understanding the property is through Cramér's large deviation theorem, which states that the probability of a large deviation from mean decays exponentially with the number of samples. Such results are studied in large deviations theory; intuitively, it is the large deviations that would violate equipartition, but these are unlikely.In the field of pseudorandom number generation, a candidate generator of undetermined quality whose output sequence lies too far outside the typical set by some statistical criteria is rejected as insufficiently random. Thus, although the typical set is loosely defined, practical notions arise concerning sufficient typicality.".
- Asymptotic_equipartition_property wikiPageExternalLink paper83.pdf.
- Asymptotic_equipartition_property wikiPageExternalLink book.html.
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- Asymptotic_equipartition_property wikiPageWikiLink A_Mathematical_Theory_of_Communication.
- Asymptotic_equipartition_property wikiPageWikiLink Almost_surely.
- Asymptotic_equipartition_property wikiPageWikiLink Bandwidth_(signal_processing).
- Asymptotic_equipartition_property wikiPageWikiLink Bijection.
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- Asymptotic_equipartition_property wikiPageWikiLink Category:Information_theory.
- Asymptotic_equipartition_property wikiPageWikiLink Category:Statistical_theorems.
- Asymptotic_equipartition_property wikiPageWikiLink Category_theory.
- Asymptotic_equipartition_property wikiPageWikiLink Claude_Shannon.
- Asymptotic_equipartition_property wikiPageWikiLink Convergence_of_random_variables.
- Asymptotic_equipartition_property wikiPageWikiLink Cramxc3xa9rs_theorem.
- Asymptotic_equipartition_property wikiPageWikiLink Data_compression.
- Asymptotic_equipartition_property wikiPageWikiLink David_J._C._MacKay.
- Asymptotic_equipartition_property wikiPageWikiLink Differential_entropy.
- Asymptotic_equipartition_property wikiPageWikiLink Earth_movers_distance.
- Asymptotic_equipartition_property wikiPageWikiLink Entropy.
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- Asymptotic_equipartition_property wikiPageWikiLink Injective_correspondence.
- Asymptotic_equipartition_property wikiPageWikiLink Isomorphism.
- Asymptotic_equipartition_property wikiPageWikiLink Large_deviations_theory.
- Asymptotic_equipartition_property wikiPageWikiLink Law_of_large_numbers.
- Asymptotic_equipartition_property wikiPageWikiLink Lxc3xa9vys_martingale_convergence_theorem.
- Asymptotic_equipartition_property wikiPageWikiLink Markovs_inequality.
- Asymptotic_equipartition_property wikiPageWikiLink Measure_(mathematics).
- Asymptotic_equipartition_property wikiPageWikiLink Noisy-channel_coding_theorem.
- Asymptotic_equipartition_property wikiPageWikiLink Partial_function.
- Asymptotic_equipartition_property wikiPageWikiLink Probability_space.
- Asymptotic_equipartition_property wikiPageWikiLink Product_(category_theory).
- Asymptotic_equipartition_property wikiPageWikiLink Pseudorandom_number_generator.
- Asymptotic_equipartition_property wikiPageWikiLink Shannons_source_coding_theorem.
- Asymptotic_equipartition_property wikiPageWikiLink Stationary_ergodic_process.
- Asymptotic_equipartition_property wikiPageWikiLink Stationary_process.
- Asymptotic_equipartition_property wikiPageWikiLink Stochastic_process.
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- Asymptotic_equipartition_property wikiPageWikiLink Time_series.
- Asymptotic_equipartition_property wikiPageWikiLink Typical_set.
- Asymptotic_equipartition_property wikiPageWikiLink Wasserstein_metric.
- Asymptotic_equipartition_property wikiPageWikiLinkText "AEP".
- Asymptotic_equipartition_property wikiPageWikiLinkText "Asymptotic Equipartition Property".
- Asymptotic_equipartition_property wikiPageWikiLinkText "Asymptotic equipartition property".
- Asymptotic_equipartition_property wikiPageWikiLinkText "Asymptotic equipartition property#AEP for discrete-time finite-valued stationary ergodic sources".
- Asymptotic_equipartition_property wikiPageWikiLinkText "asymptotic equipartition property".
- Asymptotic_equipartition_property wikiPageUsesTemplate Template:Reflist.
- Asymptotic_equipartition_property subject Category:Information_theory.
- Asymptotic_equipartition_property subject Category:Statistical_theorems.
- Asymptotic_equipartition_property hypernym Property.
- Asymptotic_equipartition_property type Building.
- Asymptotic_equipartition_property type Redirect.
- Asymptotic_equipartition_property type Theorem.
- Asymptotic_equipartition_property comment "In information theory, the asymptotic equipartition property (AEP) is a general property of the output samples of a stochastic source.".
- Asymptotic_equipartition_property label "Asymptotic equipartition property".
- Asymptotic_equipartition_property sameAs Q4812181.
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- Asymptotic_equipartition_property sameAs Q4812181.
- Asymptotic_equipartition_property wasDerivedFrom Asymptotic_equipartition_property?oldid=708373470.
- Asymptotic_equipartition_property isPrimaryTopicOf Asymptotic_equipartition_property.