Multiple methods for estimating the bispectrum of the cosmic microwave background with application to the MAXIMA data

M. G. Santos; A. Heavens; A. Balbi; J. Borrill; P. G. Ferreira; S. Hanany; A. H. Jaffe; A. T. Lee; B. Rabii; P. L. Richards; G. F. Smoot; R. Stompor; C. D. Winant; J. H.P. Wu

doi:10.1046/j.1365-8711.2003.06438.x

Multiple methods for estimating the bispectrum of the cosmic microwave background with application to the MAXIMA data

M. G. Santos, A. Heavens, A. Balbi, J. Borrill, P. G. Ferreira, S. Hanany, A. H. Jaffe, A. T. Lee, B. Rabii, P. L. Richards, G. F. Smoot, R. Stompor, C. D. Winant, J. H.P. Wu

Physics and Astronomy (Twin Cities)

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Abstract

We describe different methods for estimating the bispectrum of cosmic microwave background data. In particular, we construct a minimum-variance estimator for the flat-sky limit and compare results with previously studied frequentist methods. Application to the MAXIMA data set shows consistency with primordial Gaussianity. Weak quadratic non-Gaussianity is characterized by a tunable parameter f_NL, corresponding to non-Gaussianity at a level of ∼10^-5 f_NL (the ratio of non-Gaussian to Gaussian terms), and we find limits of f_NL = 1500 ± 950 for the minimum-variance estimator and f_NL = 2700 ± 1650 for the usual frequentist estimator. These are the tightest limits on primordial non-Gaussianity, which include the full effects of the radiation transfer function.

Original language	English (US)
Pages (from-to)	623-643
Number of pages	21
Journal	Monthly Notices of the Royal Astronomical Society
Volume	341
Issue number	2
DOIs	https://doi.org/10.1046/j.1365-8711.2003.06438.x
State	Published - May 11 2003

Keywords

Cosmic microwave background
Early universe
Methods: Data analysis
Methods: Statistical

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Santos, M. G., Heavens, A., Balbi, A., Borrill, J., Ferreira, P. G., Hanany, S., Jaffe, A. H., Lee, A. T., Rabii, B., Richards, P. L., Smoot, G. F., Stompor, R., Winant, C. D., & Wu, J. H. P. (2003). Multiple methods for estimating the bispectrum of the cosmic microwave background with application to the MAXIMA data. Monthly Notices of the Royal Astronomical Society, 341(2), 623-643. https://doi.org/10.1046/j.1365-8711.2003.06438.x

Santos, MG, Heavens, A, Balbi, A, Borrill, J, Ferreira, PG, Hanany, S, Jaffe, AH, Lee, AT, Rabii, B, Richards, PL, Smoot, GF, Stompor, R, Winant, CD & Wu, JHP 2003, 'Multiple methods for estimating the bispectrum of the cosmic microwave background with application to the MAXIMA data', Monthly Notices of the Royal Astronomical Society, vol. 341, no. 2, pp. 623-643. https://doi.org/10.1046/j.1365-8711.2003.06438.x

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abstract = "We describe different methods for estimating the bispectrum of cosmic microwave background data. In particular, we construct a minimum-variance estimator for the flat-sky limit and compare results with previously studied frequentist methods. Application to the MAXIMA data set shows consistency with primordial Gaussianity. Weak quadratic non-Gaussianity is characterized by a tunable parameter fNL, corresponding to non-Gaussianity at a level of ∼10-5 fNL (the ratio of non-Gaussian to Gaussian terms), and we find limits of fNL = 1500 ± 950 for the minimum-variance estimator and fNL = 2700 ± 1650 for the usual frequentist estimator. These are the tightest limits on primordial non-Gaussianity, which include the full effects of the radiation transfer function.",

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AU - Heavens, A.

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AU - Borrill, J.

AU - Ferreira, P. G.

AU - Hanany, S.

AU - Jaffe, A. H.

AU - Lee, A. T.

AU - Rabii, B.

AU - Richards, P. L.

AU - Smoot, G. F.

AU - Stompor, R.

AU - Winant, C. D.

AU - Wu, J. H.P.

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KW - Cosmic microwave background

KW - Early universe

KW - Methods: Data analysis

KW - Methods: Statistical

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Multiple methods for estimating the bispectrum of the cosmic microwave background with application to the MAXIMA data

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