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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/21003
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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/ |
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openAccess |
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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 |
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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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13.070432 |