Estimation in a fluctuating medium and power-law distributions

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 mecha...

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Detalles Bibliográficos
Autores principales: Vignat, Christophe, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2007
Materias:
Ciencias Exactas
Física
Quantum statistical mechanics
Boson systems
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129688
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129688
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Quantum statistical mechanics
Boson systems
spellingShingle Ciencias Exactas
Física
Quantum statistical mechanics
Boson systems
Vignat, Christophe
Plastino, Ángel Luis
Estimation in a fluctuating medium and power-law distributions
topic_facet Ciencias Exactas
Física
Quantum statistical mechanics
Boson systems
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].
format Articulo
Articulo
author Vignat, Christophe
Plastino, Ángel Luis
author_facet Vignat, Christophe
Plastino, Ángel Luis
author_sort Vignat, Christophe
title Estimation in a fluctuating medium and power-law distributions
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
publishDate 2007
url http://sedici.unlp.edu.ar/handle/10915/129688
work_keys_str_mv AT vignatchristophe estimationinafluctuatingmediumandpowerlawdistributions
AT plastinoangelluis estimationinafluctuatingmediumandpowerlawdistributions
bdutipo_str Repositorios
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