Some remarks on a probability limit theorem for continued fractions
- Autores
- Samur, Jorge Donato
- Año de publicación
- 1996
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- It is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results on the behavior of the approximation by the continued fraction convergents to a random real number are improved.
Facultad de Ciencias Exactas - Materia
-
Matemática
Continued fractions
Probability - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/144036
Ver los metadatos del registro completo
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Some remarks on a probability limit theorem for continued fractionsSamur, Jorge DonatoMatemáticaContinued fractionsProbabilityIt is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results on the behavior of the approximation by the continued fraction convergents to a random real number are improved.Facultad de Ciencias Exactas1996info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1411-1428http://sedici.unlp.edu.ar/handle/10915/144036enginfo:eu-repo/semantics/altIdentifier/issn/0002-9947info:eu-repo/semantics/altIdentifier/issn/1088-6850info:eu-repo/semantics/altIdentifier/doi/10.1090/s0002-9947-96-01571-1info: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:UNLP2025-09-29T11:32:31Zoai:sedici.unlp.edu.ar:10915/144036Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:32.091SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Some remarks on a probability limit theorem for continued fractions |
title |
Some remarks on a probability limit theorem for continued fractions |
spellingShingle |
Some remarks on a probability limit theorem for continued fractions Samur, Jorge Donato Matemática Continued fractions Probability |
title_short |
Some remarks on a probability limit theorem for continued fractions |
title_full |
Some remarks on a probability limit theorem for continued fractions |
title_fullStr |
Some remarks on a probability limit theorem for continued fractions |
title_full_unstemmed |
Some remarks on a probability limit theorem for continued fractions |
title_sort |
Some remarks on a probability limit theorem for continued fractions |
dc.creator.none.fl_str_mv |
Samur, Jorge Donato |
author |
Samur, Jorge Donato |
author_facet |
Samur, Jorge Donato |
author_role |
author |
dc.subject.none.fl_str_mv |
Matemática Continued fractions Probability |
topic |
Matemática Continued fractions Probability |
dc.description.none.fl_txt_mv |
It is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results on the behavior of the approximation by the continued fraction convergents to a random real number are improved. Facultad de Ciencias Exactas |
description |
It is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results on the behavior of the approximation by the continued fraction convergents to a random real number are improved. |
publishDate |
1996 |
dc.date.none.fl_str_mv |
1996 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://sedici.unlp.edu.ar/handle/10915/144036 |
url |
http://sedici.unlp.edu.ar/handle/10915/144036 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/issn/0002-9947 info:eu-repo/semantics/altIdentifier/issn/1088-6850 info:eu-repo/semantics/altIdentifier/doi/10.1090/s0002-9947-96-01571-1 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
dc.format.none.fl_str_mv |
application/pdf 1411-1428 |
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reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
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Universidad Nacional de La Plata |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
repository.mail.fl_str_mv |
alira@sedici.unlp.edu.ar |
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score |
13.070432 |