Entropy analysis of systems exhibiting negative probabilities

Detalhes bibliográficos
Autor(a) principal: Machado, J. A. Tenreiro
Data de Publicação: 2015
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/9401
Resumo: This paper addresses the concept of negative probability and its impact upon entropy. An anal-ogy between the probability generating functions, in the scope of quasiprobability distribu-tions, and the Grünwald–Letnikov definition of fractional derivatives, is explored. Two distinct cases producing negative probabilities are formulated and their distinct meaning clarified. Nu-merical calculations using the Shannon entropy characterize further the characteristics of the two limit cases.
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spelling Entropy analysis of systems exhibiting negative probabilitiesEntropyNegative probabilityFractional calculusQuasiprobability distributionsThis paper addresses the concept of negative probability and its impact upon entropy. An anal-ogy between the probability generating functions, in the scope of quasiprobability distribu-tions, and the Grünwald–Letnikov definition of fractional derivatives, is explored. Two distinct cases producing negative probabilities are formulated and their distinct meaning clarified. Nu-merical calculations using the Shannon entropy characterize further the characteristics of the two limit cases.ElsevierRepositório Científico do Instituto Politécnico do PortoMachado, J. A. Tenreiro20152117-01-01T00:00:00Z2015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/9401enghttp://dx.doi.org/10.1016/j.cnsns.2015.11.022metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T12:50:47Zoai:recipp.ipp.pt:10400.22/9401Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:30:00.532722Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Entropy analysis of systems exhibiting negative probabilities
title Entropy analysis of systems exhibiting negative probabilities
spellingShingle Entropy analysis of systems exhibiting negative probabilities
Machado, J. A. Tenreiro
Entropy
Negative probability
Fractional calculus
Quasiprobability distributions
title_short Entropy analysis of systems exhibiting negative probabilities
title_full Entropy analysis of systems exhibiting negative probabilities
title_fullStr Entropy analysis of systems exhibiting negative probabilities
title_full_unstemmed Entropy analysis of systems exhibiting negative probabilities
title_sort Entropy analysis of systems exhibiting negative probabilities
author Machado, J. A. Tenreiro
author_facet Machado, J. A. Tenreiro
author_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Entropy
Negative probability
Fractional calculus
Quasiprobability distributions
topic Entropy
Negative probability
Fractional calculus
Quasiprobability distributions
description This paper addresses the concept of negative probability and its impact upon entropy. An anal-ogy between the probability generating functions, in the scope of quasiprobability distribu-tions, and the Grünwald–Letnikov definition of fractional derivatives, is explored. Two distinct cases producing negative probabilities are formulated and their distinct meaning clarified. Nu-merical calculations using the Shannon entropy characterize further the characteristics of the two limit cases.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01T00:00:00Z
2117-01-01T00:00:00Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/9401
url http://hdl.handle.net/10400.22/9401
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://dx.doi.org/10.1016/j.cnsns.2015.11.022
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dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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