On the maximum entropy and the problem of moments: an application to stellar kinematics

The maximum entropy approach is used to solve the classical moment problem of stellar kinematics. If an extended set of moments is available, the current method provides a linear estimation algorithm, which is given by a Gramian system of equations, that leads to a fast and suitable estimation of th...

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Detalhes bibliográficos
Autor: Cubarsí Morera, Rafael|||0000-0001-7748-1322
Formato: informe técnico
Fecha de publicación:2008
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/3046
Acesso em linha:https://hdl.handle.net/2117/3046
Access Level:acceso abierto
Palavra-chave:Entropy (Information theory)--Mathematical models.
Moments method (Statistics)
Astronomy and astrophysics
Maximum entropy
Method of moments
Stellar kinematics
Entropia (Teoria de la informació)
Astronomia
Classificació AMS::85 Astronomy and astrophysics
Àrees temàtiques de la UPC::Matemàtiques i estadística
Àrees temàtiques de la UPC::Aeronàutica i espai
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network_name_str España
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spelling On the maximum entropy and the problem of moments: an application to stellar kinematicsCubarsí Morera, Rafael|||0000-0001-7748-1322Entropy (Information theory)--Mathematical models.Moments method (Statistics)Astronomy and astrophysicsMaximum entropyMethod of momentsStellar kinematicsEntropia (Teoria de la informació)AstronomiaClassificació AMS::85 Astronomy and astrophysicsÀrees temàtiques de la UPC::Matemàtiques i estadísticaÀrees temàtiques de la UPC::Aeronàutica i espaiThe maximum entropy approach is used to solve the classical moment problem of stellar kinematics. If an extended set of moments is available, the current method provides a linear estimation algorithm, which is given by a Gramian system of equations, that leads to a fast and suitable estimation of the velocity distribution. In particular, it can be used as an alternative approach for modelling multimodal distributions that can not be described through gaussian mixtures.20082008-12-0120092009-08-24reporthttp://purl.org/coar/resource_type/c_93fcNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/3046reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/30462026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the maximum entropy and the problem of moments: an application to stellar kinematics
title On the maximum entropy and the problem of moments: an application to stellar kinematics
spellingShingle On the maximum entropy and the problem of moments: an application to stellar kinematics
Cubarsí Morera, Rafael|||0000-0001-7748-1322
Entropy (Information theory)--Mathematical models.
Moments method (Statistics)
Astronomy and astrophysics
Maximum entropy
Method of moments
Stellar kinematics
Entropia (Teoria de la informació)
Astronomia
Classificació AMS::85 Astronomy and astrophysics
Àrees temàtiques de la UPC::Matemàtiques i estadística
Àrees temàtiques de la UPC::Aeronàutica i espai
title_short On the maximum entropy and the problem of moments: an application to stellar kinematics
title_full On the maximum entropy and the problem of moments: an application to stellar kinematics
title_fullStr On the maximum entropy and the problem of moments: an application to stellar kinematics
title_full_unstemmed On the maximum entropy and the problem of moments: an application to stellar kinematics
title_sort On the maximum entropy and the problem of moments: an application to stellar kinematics
dc.creator.none.fl_str_mv Cubarsí Morera, Rafael|||0000-0001-7748-1322
author Cubarsí Morera, Rafael|||0000-0001-7748-1322
author_facet Cubarsí Morera, Rafael|||0000-0001-7748-1322
author_role author
dc.subject.none.fl_str_mv Entropy (Information theory)--Mathematical models.
Moments method (Statistics)
Astronomy and astrophysics
Maximum entropy
Method of moments
Stellar kinematics
Entropia (Teoria de la informació)
Astronomia
Classificació AMS::85 Astronomy and astrophysics
Àrees temàtiques de la UPC::Matemàtiques i estadística
Àrees temàtiques de la UPC::Aeronàutica i espai
topic Entropy (Information theory)--Mathematical models.
Moments method (Statistics)
Astronomy and astrophysics
Maximum entropy
Method of moments
Stellar kinematics
Entropia (Teoria de la informació)
Astronomia
Classificació AMS::85 Astronomy and astrophysics
Àrees temàtiques de la UPC::Matemàtiques i estadística
Àrees temàtiques de la UPC::Aeronàutica i espai
description The maximum entropy approach is used to solve the classical moment problem of stellar kinematics. If an extended set of moments is available, the current method provides a linear estimation algorithm, which is given by a Gramian system of equations, that leads to a fast and suitable estimation of the velocity distribution. In particular, it can be used as an alternative approach for modelling multimodal distributions that can not be described through gaussian mixtures.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-12-01
2009
2009-08-24
dc.type.none.fl_str_mv report
http://purl.org/coar/resource_type/c_93fc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/report
format report
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/3046
url https://hdl.handle.net/2117/3046
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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