Application of Bayesian model averaging to measurements of the primordial power spectrum

Parkinson, David and Liddle, Andrew R. (2010) Application of Bayesian model averaging to measurements of the primordial power spectrum. Physical Review D, 82 10, Article number 103533: 103533-1-103533-8. doi:10.1103/PhysRevD.82.103533

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Author Parkinson, David
Liddle, Andrew R.
Title Application of Bayesian model averaging to measurements of the primordial power spectrum
Journal name Physical Review D   Check publisher's open access policy
ISSN 1550-7998
Publication date 2010-11-24
Sub-type Article (original research)
DOI 10.1103/PhysRevD.82.103533
Open Access Status File (Publisher version)
Volume 82
Issue 10, Article number 103533
Start page 103533-1
End page 103533-8
Total pages 8
Place of publication United States
Publisher American Physical Society
Language eng
Formatted abstract
Cosmological parameter uncertainties are often stated assuming a particular model, neglecting the model uncertainty, even when Bayesian model selection is unable to identify a conclusive best model. Bayesian model averaging is a method for assessing parameter uncertainties in situations where there is also uncertainty in the underlying model. We apply model averaging to the estimation of the parameters associated with the primordial power spectra of curvature and tensor perturbations. We use CosmoNest and MultiNest to compute the model evidences and posteriors, using cosmic microwave data from WMAP, ACBAR, BOOMERanG, and CBI, plus large-scale structure data from the SDSS DR7. We find that the model-averaged 95% credible interval for the spectral index using all of the data is 0.940<ns<1.000, where ns is specified at a pivot scale 0.015Mpc⊃-1. For the tensors model averaging can tighten the credible upper limit, depending on prior assumptions. © 2010 The American Physical Societ
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Non HERDC
 
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Created: Mon, 28 Feb 2011, 22:00:07 EST by Jo Hughes on behalf of Physics