Testing Gaussianity, Homogeneity, and Isotropy with the Cosmic Microwave Background
We review the basic hypotheses which motivate the statistical framework used to analyze the cosmic microwave background, and how that framework can be enlarged as we relax those hypotheses. In particular, we try to separate as much as possible the questions of gaussianity, homogeneity, and isotropy...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2010/378203 |
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| _version_ | 1832545779449856000 |
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| author | L. Raul Abramo Thiago S. Pereira |
| author_facet | L. Raul Abramo Thiago S. Pereira |
| author_sort | L. Raul Abramo |
| collection | DOAJ |
| description | We review the basic hypotheses which motivate the statistical framework used
to analyze the cosmic microwave background, and how that framework can be enlarged as we relax those hypotheses. In particular, we try to separate as much as
possible the questions of gaussianity, homogeneity, and isotropy from each other.
We focus both on isotropic estimators of nongaussianity as well as statistically
anisotropic estimators of gaussianity, giving particular emphasis on their signatures and the enhanced “cosmic variances” that become increasingly important
as our putative Universe becomes less symmetric. After reviewing the formalism
behind some simple model-independent tests, we discuss how these tests can be
applied to CMB data when searching for large-scale “anomalies”. |
| format | Article |
| id | doaj-art-53c785fa698c4d729d854c1bb79c7c87 |
| institution | Kabale University |
| issn | 1687-7969 1687-7977 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Astronomy |
| spelling | doaj-art-53c785fa698c4d729d854c1bb79c7c872025-02-03T07:24:39ZengWileyAdvances in Astronomy1687-79691687-79772010-01-01201010.1155/2010/378203378203Testing Gaussianity, Homogeneity, and Isotropy with the Cosmic Microwave BackgroundL. Raul Abramo0Thiago S. Pereira1Instituto de Física, Universidade de São Paulo, CP 66318, CEP 05315-970 São Paulo, BrazilInstituto de Física Teórica, Universidade Estadual Paulista, CP 70532-2, CEP 01156-970 São Paulo, BrazilWe review the basic hypotheses which motivate the statistical framework used to analyze the cosmic microwave background, and how that framework can be enlarged as we relax those hypotheses. In particular, we try to separate as much as possible the questions of gaussianity, homogeneity, and isotropy from each other. We focus both on isotropic estimators of nongaussianity as well as statistically anisotropic estimators of gaussianity, giving particular emphasis on their signatures and the enhanced “cosmic variances” that become increasingly important as our putative Universe becomes less symmetric. After reviewing the formalism behind some simple model-independent tests, we discuss how these tests can be applied to CMB data when searching for large-scale “anomalies”.http://dx.doi.org/10.1155/2010/378203 |
| spellingShingle | L. Raul Abramo Thiago S. Pereira Testing Gaussianity, Homogeneity, and Isotropy with the Cosmic Microwave Background Advances in Astronomy |
| title | Testing Gaussianity, Homogeneity, and Isotropy with the Cosmic Microwave Background |
| title_full | Testing Gaussianity, Homogeneity, and Isotropy with the Cosmic Microwave Background |
| title_fullStr | Testing Gaussianity, Homogeneity, and Isotropy with the Cosmic Microwave Background |
| title_full_unstemmed | Testing Gaussianity, Homogeneity, and Isotropy with the Cosmic Microwave Background |
| title_short | Testing Gaussianity, Homogeneity, and Isotropy with the Cosmic Microwave Background |
| title_sort | testing gaussianity homogeneity and isotropy with the cosmic microwave background |
| url | http://dx.doi.org/10.1155/2010/378203 |
| work_keys_str_mv | AT lraulabramo testinggaussianityhomogeneityandisotropywiththecosmicmicrowavebackground AT thiagospereira testinggaussianityhomogeneityandisotropywiththecosmicmicrowavebackground |