Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure

Escort distributions have been shown to be very useful in a great variety of fields ranging from information theory, nonextensive statistical mechanics till coding theory, chaos and multifractals. In this work we give the notion and the properties of a novel type of escort density, the differential-...

Descripción completa

Detalles Bibliográficos
Autor: Puertas-Centeno, D.
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Rey Juan Carlos
Repositorio:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
OAI Identifier:oai:burjcdigital.urjc.es:10115/40222
Acceso en línea:https://hdl.handle.net/10115/40222
Access Level:acceso embargado
Palabra clave:Differential-escort distributions
Shannon, Rényi and Tsallis entropies
Statistical complexity measures
LMC and LMC-Rényi complexity measures
Tsallis q-exponential densities
Power-law-decaying probability densities
id ES_6bd7d0b4ddc055ed7f2d3d1827a2eabc
oai_identifier_str oai:burjcdigital.urjc.es:10115/40222
network_acronym_str ES
network_name_str España
repository_id_str
spelling Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measurePuertas-Centeno, D.Differential-escort distributionsShannon, Rényi and Tsallis entropiesStatistical complexity measuresLMC and LMC-Rényi complexity measuresTsallis q-exponential densitiesPower-law-decaying probability densitiesEscort distributions have been shown to be very useful in a great variety of fields ranging from information theory, nonextensive statistical mechanics till coding theory, chaos and multifractals. In this work we give the notion and the properties of a novel type of escort density, the differential-escort densities, which have various advantages with respect to the standard ones. We highlight the behavior of the differential Shannon, Rényi and Tsallis entropies of these distributions. Then, we illustrate their utility to prove the monotonicity property of the LMC-Rényi complexity measure and to study the behavior of general distributions in the two extreme cases of minimal and very high LMC-Rényi complexity. Finally, this transformation allows us to obtain the Tsallis q-exponential densities as the differential-escort transformation of the exponential density.Elsevier202420242018info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10115/40222reponame:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlosinstname:Universidad Rey Juan CarlosInglésinfo:eu-repo/semantics/embargoedAccessoai:burjcdigital.urjc.es:10115/402222026-06-24T12:48:17Z
dc.title.none.fl_str_mv Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure
title Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure
spellingShingle Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure
Puertas-Centeno, D.
Differential-escort distributions
Shannon, Rényi and Tsallis entropies
Statistical complexity measures
LMC and LMC-Rényi complexity measures
Tsallis q-exponential densities
Power-law-decaying probability densities
title_short Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure
title_full Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure
title_fullStr Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure
title_full_unstemmed Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure
title_sort Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure
dc.creator.none.fl_str_mv Puertas-Centeno, D.
author Puertas-Centeno, D.
author_facet Puertas-Centeno, D.
author_role author
dc.subject.none.fl_str_mv Differential-escort distributions
Shannon, Rényi and Tsallis entropies
Statistical complexity measures
LMC and LMC-Rényi complexity measures
Tsallis q-exponential densities
Power-law-decaying probability densities
topic Differential-escort distributions
Shannon, Rényi and Tsallis entropies
Statistical complexity measures
LMC and LMC-Rényi complexity measures
Tsallis q-exponential densities
Power-law-decaying probability densities
description Escort distributions have been shown to be very useful in a great variety of fields ranging from information theory, nonextensive statistical mechanics till coding theory, chaos and multifractals. In this work we give the notion and the properties of a novel type of escort density, the differential-escort densities, which have various advantages with respect to the standard ones. We highlight the behavior of the differential Shannon, Rényi and Tsallis entropies of these distributions. Then, we illustrate their utility to prove the monotonicity property of the LMC-Rényi complexity measure and to study the behavior of general distributions in the two extreme cases of minimal and very high LMC-Rényi complexity. Finally, this transformation allows us to obtain the Tsallis q-exponential densities as the differential-escort transformation of the exponential density.
publishDate 2018
dc.date.none.fl_str_mv 2018
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10115/40222
url https://hdl.handle.net/10115/40222
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
instname:Universidad Rey Juan Carlos
instname_str Universidad Rey Juan Carlos
reponame_str BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
collection BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869410225759453184
score 15.811543

Similares en LA Referencia