Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation

Autores
Gangui, Alejandro; Martin, Jérôme
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Measuring the three-point correlators of the cosmic microwave background ~CMB! anisotropies could help to get a handle on the level of non-Gaussianity present in the observational data sets and therefore would strongly constrain models of the early Universe. However, typically, the expected non-Gaussian signal is very small. Therefore, one has to face the problem of extracting it from the noise, in particular from the ‘‘cosmic variance’’ noise. For this purpose, one has to construct the best unbiased estimators for the three-point correlators that are needed for concrete detection of non-Gaussian features. In this article, we study this problem for both the CMB third moment and the CMB angular bispectrum. We emphasize that knowledge of the best estimator for the former does not permit one to infer the best estimator for the latter and vice versa. We present the corresponding best unbiased estimators in both cases and compute their corresponding cosmic variances.
Fil: Gangui, Alejandro. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Martin, Jérôme. Observatoire de Paris-Meudon; Francia
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/21003

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spelling Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background RadiationGangui, AlejandroMartin, Jérômehttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Measuring the three-point correlators of the cosmic microwave background ~CMB! anisotropies could help to get a handle on the level of non-Gaussianity present in the observational data sets and therefore would strongly constrain models of the early Universe. However, typically, the expected non-Gaussian signal is very small. Therefore, one has to face the problem of extracting it from the noise, in particular from the ‘‘cosmic variance’’ noise. For this purpose, one has to construct the best unbiased estimators for the three-point correlators that are needed for concrete detection of non-Gaussian features. In this article, we study this problem for both the CMB third moment and the CMB angular bispectrum. We emphasize that knowledge of the best estimator for the former does not permit one to infer the best estimator for the latter and vice versa. We present the corresponding best unbiased estimators in both cases and compute their corresponding cosmic variances.Fil: Gangui, Alejandro. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaFil: Martin, Jérôme. Observatoire de Paris-Meudon; FranciaAmerican Physical Society2000-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/21003Gangui, Alejandro; Martin, Jérôme; Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 62; 10; 12-2000; 1-171550-7998CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/astro-ph/0001361info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.62.103004info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.62.103004info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:08:45Zoai:ri.conicet.gov.ar:11336/21003instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:08:45.764CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation
title Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation
spellingShingle Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation
Gangui, Alejandro
title_short Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation
title_full Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation
title_fullStr Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation
title_full_unstemmed Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation
title_sort Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation
dc.creator.none.fl_str_mv Gangui, Alejandro
Martin, Jérôme
author Gangui, Alejandro
author_facet Gangui, Alejandro
Martin, Jérôme
author_role author
author2 Martin, Jérôme
author2_role author
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Measuring the three-point correlators of the cosmic microwave background ~CMB! anisotropies could help to get a handle on the level of non-Gaussianity present in the observational data sets and therefore would strongly constrain models of the early Universe. However, typically, the expected non-Gaussian signal is very small. Therefore, one has to face the problem of extracting it from the noise, in particular from the ‘‘cosmic variance’’ noise. For this purpose, one has to construct the best unbiased estimators for the three-point correlators that are needed for concrete detection of non-Gaussian features. In this article, we study this problem for both the CMB third moment and the CMB angular bispectrum. We emphasize that knowledge of the best estimator for the former does not permit one to infer the best estimator for the latter and vice versa. We present the corresponding best unbiased estimators in both cases and compute their corresponding cosmic variances.
Fil: Gangui, Alejandro. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Martin, Jérôme. Observatoire de Paris-Meudon; Francia
description Measuring the three-point correlators of the cosmic microwave background ~CMB! anisotropies could help to get a handle on the level of non-Gaussianity present in the observational data sets and therefore would strongly constrain models of the early Universe. However, typically, the expected non-Gaussian signal is very small. Therefore, one has to face the problem of extracting it from the noise, in particular from the ‘‘cosmic variance’’ noise. For this purpose, one has to construct the best unbiased estimators for the three-point correlators that are needed for concrete detection of non-Gaussian features. In this article, we study this problem for both the CMB third moment and the CMB angular bispectrum. We emphasize that knowledge of the best estimator for the former does not permit one to infer the best estimator for the latter and vice versa. We present the corresponding best unbiased estimators in both cases and compute their corresponding cosmic variances.
publishDate 2000
dc.date.none.fl_str_mv 2000-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/21003
Gangui, Alejandro; Martin, Jérôme; Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 62; 10; 12-2000; 1-17
1550-7998
CONICET Digital
CONICET
url http://hdl.handle.net/11336/21003
identifier_str_mv Gangui, Alejandro; Martin, Jérôme; Best Unbiased Estimators for the Three-Point Correlators of the Cosmic Microwave Background Radiation; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 62; 10; 12-2000; 1-17
1550-7998
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/astro-ph/0001361
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.62.103004
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.62.103004
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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