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

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

48 Citations (Scopus)

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
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
Publication status	Published - 11 May 2003
Externally published	Yes

Keywords

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

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10.1046/j.1365-8711.2003.06438.x

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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

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title = "Multiple methods for estimating the bispectrum of the cosmic microwave background with application to the MAXIMA data",

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.",

keywords = "Cosmic microwave background, Early universe, Methods: Data analysis, Methods: Statistical",

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

year = "2003",

month = may,

day = "11",

doi = "10.1046/j.1365-8711.2003.06438.x",

language = "English",

volume = "341",

pages = "623--643",

journal = "Monthly Notices of the Royal Astronomical Society",

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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

TY - JOUR

T1 - Multiple methods for estimating the bispectrum of the cosmic microwave background with application to the MAXIMA data

AU - Santos, M. G.

AU - Heavens, A.

AU - Balbi, A.

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.

PY - 2003/5/11

Y1 - 2003/5/11

N2 - 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.

AB - 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.

KW - Cosmic microwave background

KW - Early universe

KW - Methods: Data analysis

KW - Methods: Statistical

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000182651400022

UR - https://openalex.org/W3098953285

UR - https://www.scopus.com/pages/publications/0041302923

U2 - 10.1046/j.1365-8711.2003.06438.x

DO - 10.1046/j.1365-8711.2003.06438.x

M3 - Journal Article

SN - 0035-8711

VL - 341

SP - 623

EP - 643

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

IS - 2

ER -

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

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Keywords

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