Generalized-generalized entropies and limit distributions
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Physics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400011 |
Resumo: | Limit distributions are not limited to uncorrelated variables but can be constructively derived for a large class of correlated random variables, as was shown e.g. in the context of large deviation theory [1], and recently in a very general setting by Hilhorst and Schehr [2]. At the same time it has been conjectured, based on numerical evidence, that several limit distributions originating from specific correlated random processes follow q-Gaussians. It could be shown that this is not the case for some of these situations, and more complicated limit distributions are necessary. In this work we show the derivation of the analytical form of entropy which -under the maximum entropy principle, imposing ordinary constraints- provides exactly these limit distributions. This is a concrete example for the necessity of more general entropy functionals beyond q statistics. |
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Brazilian Journal of Physics |
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Generalized-generalized entropies and limit distributionsLimit distributionsCorrelated random numbersEntropy for arbitrary distributionsLimit distributions are not limited to uncorrelated variables but can be constructively derived for a large class of correlated random variables, as was shown e.g. in the context of large deviation theory [1], and recently in a very general setting by Hilhorst and Schehr [2]. At the same time it has been conjectured, based on numerical evidence, that several limit distributions originating from specific correlated random processes follow q-Gaussians. It could be shown that this is not the case for some of these situations, and more complicated limit distributions are necessary. In this work we show the derivation of the analytical form of entropy which -under the maximum entropy principle, imposing ordinary constraints- provides exactly these limit distributions. This is a concrete example for the necessity of more general entropy functionals beyond q statistics.Sociedade Brasileira de Física2009-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400011Brazilian Journal of Physics v.39 n.2a 2009reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332009000400011info:eu-repo/semantics/openAccessThurner,StefanHanel,Rudolfeng2009-09-10T00:00:00Zoai:scielo:S0103-97332009000400011Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2009-09-10T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Generalized-generalized entropies and limit distributions |
title |
Generalized-generalized entropies and limit distributions |
spellingShingle |
Generalized-generalized entropies and limit distributions Thurner,Stefan Limit distributions Correlated random numbers Entropy for arbitrary distributions |
title_short |
Generalized-generalized entropies and limit distributions |
title_full |
Generalized-generalized entropies and limit distributions |
title_fullStr |
Generalized-generalized entropies and limit distributions |
title_full_unstemmed |
Generalized-generalized entropies and limit distributions |
title_sort |
Generalized-generalized entropies and limit distributions |
author |
Thurner,Stefan |
author_facet |
Thurner,Stefan Hanel,Rudolf |
author_role |
author |
author2 |
Hanel,Rudolf |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Thurner,Stefan Hanel,Rudolf |
dc.subject.por.fl_str_mv |
Limit distributions Correlated random numbers Entropy for arbitrary distributions |
topic |
Limit distributions Correlated random numbers Entropy for arbitrary distributions |
description |
Limit distributions are not limited to uncorrelated variables but can be constructively derived for a large class of correlated random variables, as was shown e.g. in the context of large deviation theory [1], and recently in a very general setting by Hilhorst and Schehr [2]. At the same time it has been conjectured, based on numerical evidence, that several limit distributions originating from specific correlated random processes follow q-Gaussians. It could be shown that this is not the case for some of these situations, and more complicated limit distributions are necessary. In this work we show the derivation of the analytical form of entropy which -under the maximum entropy principle, imposing ordinary constraints- provides exactly these limit distributions. This is a concrete example for the necessity of more general entropy functionals beyond q statistics. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-08-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400011 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400011 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332009000400011 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
dc.source.none.fl_str_mv |
Brazilian Journal of Physics v.39 n.2a 2009 reponame:Brazilian Journal of Physics instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Brazilian Journal of Physics |
collection |
Brazilian Journal of Physics |
repository.name.fl_str_mv |
Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br |
_version_ |
1754734865166630912 |