Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-02T20:24:33.939Z Has data issue: false hasContentIssue false
  • English
  • Français

Bayesian model comparison in cosmology

Published online by Cambridge University Press:  01 July 2015

Daniel J. Mortlock
Daniel J. Mortlock*
Affiliation:
Astrophysics Group, Blackett Laboratory, and Department of Mathematics Imperial College London, London SW7 2AZ, United Kingdom email: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The standard Bayesian model formalism comparison cannot be applied to most cosmological models as they lack well-motivated parameter priors. However, if the data-set being used is separable, then it is possible to use some of the data to obtain the necessary parameter distributions, the rest of the data being retained for model comparison. While such methods are not fully prescriptive, they provide a route to applying Bayesian model comparison in cosmological situations where it could not otherwise be used.

Keywords

methods: statisticalcosmology: cosmological parameters
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 10 , Symposium S306: Statistical Challenges in 21st Century Cosmology , May 2014 , pp. 5 - 8
Copyright
Copyright © International Astronomical Union 2015 

References

Bailer-Jones, C. 2012 Astronomy & Astrophysics, 546, A89CrossRefGoogle Scholar
Cox, R. T. 1946, American Journal of Physics, 14, 1CrossRefGoogle Scholar
Drell, P. S., Loredo, T. J., & Wasserman, I. 2000, The Astrophysical Journal, 530, 593Google Scholar
Efstathiou, G. 2008, Monthly Notices of the Royal Astronomical Society, 388, 1314Google Scholar
Jenkins, C. R. & Peacock, J. A. 2011, Monthly Notices of the Royal Astronomical Society, 413, 2895Google Scholar
Khanin, A. & Mortlock, D. J. 2014, Monthly Notices of the Royal Astronomical Society, 444, 1591CrossRefGoogle Scholar
Lempers, F. B. 1971, Posterior Probabilities of Alternative Linear Models, Rotterdam: University PressGoogle Scholar
O'Hagan, A. 1995, Journal of the Royal Statistical Society B, 30, 490Google Scholar
Perlmutter, S., et al. 1999, The Astrophysical Journal, 517, 565CrossRefGoogle Scholar
Spiegelhalter, D. J. & Smith, A. F. M., 1982, Journal of the Royal Statistical Society B, 44, 377Google Scholar
Riess, A. G., et al. 1998, The Astronomical Journal, 116, 1009Google Scholar