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- Typical_set abstract "In information theory, the typical set is a set of sequences whose probability is close to two raised to the negative power of the entropy of their source distribution. That this set has total probability close to one is a consequence of the asymptotic equipartition property (AEP) which is a kind of law of large numbers. The notion of typicality is only concerned with the probability of a sequence and not the actual sequence itself.This has great use in compression theory as it provides a theoretical means for compressing data, allowing us to represent any sequence Xn using nH(X) bits on average, and, hence, justifying the use of entropy as a measure of information from a source.The AEP can also be proven for a large class of stationary ergodic processes, allowing typical set to be defined in more general cases.".
- Typical_set wikiPageExternalLink shannon1948.pdf.
- Typical_set wikiPageExternalLink book.html.
- Typical_set wikiPageID "248717".
- Typical_set wikiPageLength "9003".
- Typical_set wikiPageOutDegree "23".
- Typical_set wikiPageRevisionID "603701214".
- Typical_set wikiPageWikiLink Asymptotic_equipartition_property.
- Typical_set wikiPageWikiLink Bell_System_Technical_Journal.
- Typical_set wikiPageWikiLink Category:Information_theory.
- Typical_set wikiPageWikiLink Category:Probability_theory.
- Typical_set wikiPageWikiLink Claude_Shannon.
- Typical_set wikiPageWikiLink Data_compression.
- Typical_set wikiPageWikiLink David_J._C._MacKay.
- Typical_set wikiPageWikiLink Degrees_of_freedom_(physics_and_chemistry).
- Typical_set wikiPageWikiLink Differential_entropy.
- Typical_set wikiPageWikiLink Entropy_(information_theory).
- Typical_set wikiPageWikiLink Entropy_rate.
- Typical_set wikiPageWikiLink Independent_and_identically_distributed_random_variables.
- Typical_set wikiPageWikiLink Information_theory.
- Typical_set wikiPageWikiLink Law_of_large_numbers.
- Typical_set wikiPageWikiLink Noisy-channel_coding_theorem.
- Typical_set wikiPageWikiLink Probability.
- Typical_set wikiPageWikiLink Random_coding.
- Typical_set wikiPageWikiLink Shannons_source_coding_theorem.
- Typical_set wikiPageWikiLink Stationary_ergodic_process.
- Typical_set wikiPageWikiLinkText "Typical set".
- Typical_set wikiPageWikiLinkText "atypical".
- Typical_set wikiPageWikiLinkText "typical set encoding".
- Typical_set wikiPageWikiLinkText "typical set".
- Typical_set wikiPageWikiLinkText "typical".
- Typical_set wikiPageUsesTemplate Template:Cite_book.
- Typical_set wikiPageUsesTemplate Template:Empty_section.
- Typical_set wikiPageUsesTemplate Template:Expand_section.
- Typical_set wikiPageUsesTemplate Template:See_also.
- Typical_set subject Category:Information_theory.
- Typical_set subject Category:Probability_theory.
- Typical_set hypernym Set.
- Typical_set type Thing.
- Typical_set comment "In information theory, the typical set is a set of sequences whose probability is close to two raised to the negative power of the entropy of their source distribution. That this set has total probability close to one is a consequence of the asymptotic equipartition property (AEP) which is a kind of law of large numbers.".
- Typical_set label "Typical set".
- Typical_set seeAlso Algorithmic_complexity_theory.
- Typical_set seeAlso Kolmogorov_complexity.
- Typical_set sameAs Q7861378.
- Typical_set sameAs m.01kz96.
- Typical_set sameAs Q7861378.
- Typical_set wasDerivedFrom Typical_set?oldid=603701214.
- Typical_set isPrimaryTopicOf Typical_set.