Estimation in a fluctuating medium and power-law distributions
- Autores
- Vignat, Christophe; Plastino, Ángel Luis
- Año de publicación
- 2007
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We show how recent results by Bening and Korolev in the context of estimation, when linked with a classical result of Fisher concerning the negative binomial distribution, can be used to explain the ubiquity of power-law probability distributions. Beck, Cohen and others have provided plausible mechanisms explaining how power-law probability distributions naturally emerge in scenarios characterized by either finite dimension or fluctuation effects. This Letter tries to further contribute to such an idea. As an application, a new and multivariate version of the central limit theorem is obtained that provides a convenient alternative to the one recently presented in [S. Umarov, C. Tsallis, S. Steinberg, cond-mat/0603593].
Facultad de Ciencias Exactas - Materia
-
Ciencias Exactas
Física
Quantum statistical mechanics
Boson systems - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/129688
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Estimation in a fluctuating medium and power-law distributionsVignat, ChristophePlastino, Ángel LuisCiencias ExactasFísicaQuantum statistical mechanicsBoson systemsWe show how recent results by Bening and Korolev in the context of estimation, when linked with a classical result of Fisher concerning the negative binomial distribution, can be used to explain the ubiquity of power-law probability distributions. Beck, Cohen and others have provided plausible mechanisms explaining how power-law probability distributions naturally emerge in scenarios characterized by either finite dimension or fluctuation effects. This Letter tries to further contribute to such an idea. As an application, a new and multivariate version of the central limit theorem is obtained that provides a convenient alternative to the one recently presented in [S. Umarov, C. Tsallis, S. Steinberg, cond-mat/0603593].Facultad de Ciencias Exactas2007-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf415-418http://sedici.unlp.edu.ar/handle/10915/129688enginfo:eu-repo/semantics/altIdentifier/issn/0375-9601info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0606162info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physleta.2006.07.005info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:23:08Zoai:sedici.unlp.edu.ar:10915/129688Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:23:08.775SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Estimation in a fluctuating medium and power-law distributions |
| title |
Estimation in a fluctuating medium and power-law distributions |
| spellingShingle |
Estimation in a fluctuating medium and power-law distributions Vignat, Christophe Ciencias Exactas Física Quantum statistical mechanics Boson systems |
| title_short |
Estimation in a fluctuating medium and power-law distributions |
| title_full |
Estimation in a fluctuating medium and power-law distributions |
| title_fullStr |
Estimation in a fluctuating medium and power-law distributions |
| title_full_unstemmed |
Estimation in a fluctuating medium and power-law distributions |
| title_sort |
Estimation in a fluctuating medium and power-law distributions |
| dc.creator.none.fl_str_mv |
Vignat, Christophe Plastino, Ángel Luis |
| author |
Vignat, Christophe |
| author_facet |
Vignat, Christophe Plastino, Ángel Luis |
| author_role |
author |
| author2 |
Plastino, Ángel Luis |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Física Quantum statistical mechanics Boson systems |
| topic |
Ciencias Exactas Física Quantum statistical mechanics Boson systems |
| dc.description.none.fl_txt_mv |
We show how recent results by Bening and Korolev in the context of estimation, when linked with a classical result of Fisher concerning the negative binomial distribution, can be used to explain the ubiquity of power-law probability distributions. Beck, Cohen and others have provided plausible mechanisms explaining how power-law probability distributions naturally emerge in scenarios characterized by either finite dimension or fluctuation effects. This Letter tries to further contribute to such an idea. As an application, a new and multivariate version of the central limit theorem is obtained that provides a convenient alternative to the one recently presented in [S. Umarov, C. Tsallis, S. Steinberg, cond-mat/0603593]. Facultad de Ciencias Exactas |
| description |
We show how recent results by Bening and Korolev in the context of estimation, when linked with a classical result of Fisher concerning the negative binomial distribution, can be used to explain the ubiquity of power-law probability distributions. Beck, Cohen and others have provided plausible mechanisms explaining how power-law probability distributions naturally emerge in scenarios characterized by either finite dimension or fluctuation effects. This Letter tries to further contribute to such an idea. As an application, a new and multivariate version of the central limit theorem is obtained that provides a convenient alternative to the one recently presented in [S. Umarov, C. Tsallis, S. Steinberg, cond-mat/0603593]. |
| publishDate |
2007 |
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2007-01 |
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eng |
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