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2015 | OriginalPaper | Chapter

5. The Prior

Authors : Stefano Andreon, Brian Weaver

Published in: Bayesian Methods for the Physical Sciences

Publisher: Springer International Publishing

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Abstract

All statistical analyses make assumptions, and Bayesian analyses are no exception. This chapter emphasizes that results depend on data and priors (assumptions). We illustrate this concept with examples where the prior plays greatly different roles, from major to negligible. We also provide some advice on how to look for information useful for sculpting the prior.

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Footnotes
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Literature
go back to reference S. Andreon, B. Maughan, G. Trinchieri, and J. Kurk. JKCS 041: a colour-detected galaxy cluster at z phot  ∼ 1. 9 with deep potential well as confirmed by X-ray data. Astronomy & Astrophysics, 507:147–157, 2009. S. Andreon, B. Maughan, G. Trinchieri, and J. Kurk. JKCS 041: a colour-detected galaxy cluster at z phot  ∼ 1. 9 with deep potential well as confirmed by X-ray data. Astronomy & Astrophysics, 507:147–157, 2009.
go back to reference G. B. Brammer, P. G. van Dokkum, and P. Coppi. EAZY: A fast, public photometric redshift code. The Astrophysical Journal, 686:1503–1513, 2008.CrossRef G. B. Brammer, P. G. van Dokkum, and P. Coppi. EAZY: A fast, public photometric redshift code. The Astrophysical Journal, 686:1503–1513, 2008.CrossRef
go back to reference A. Jenkins, C. S. Frenk, S. D. M. White, J. M. Colberg, S. Cole, A. E. Evrard, and et al. The mass function of dark matter haloes. Monthly Notices of the Royal Astronomical Society, 321:372–384, 2001.CrossRef A. Jenkins, C. S. Frenk, S. D. M. White, J. M. Colberg, S. Cole, A. E. Evrard, and et al. The mass function of dark matter haloes. Monthly Notices of the Royal Astronomical Society, 321:372–384, 2001.CrossRef
go back to reference A. Kenter, S.S. Murray, W.R. Forman, C. Jones, P. Green, C.S. Kochanek, and et al. XBootes: An X-Ray survey of the NDWFS Bootes Field. II. The X-ray source catalog. The Astrophysical Journal Supplement Series, 161: 9, 2005. A. Kenter, S.S. Murray, W.R. Forman, C. Jones, P. Green, C.S. Kochanek, and et al. XBootes: An X-Ray survey of the NDWFS Bootes Field. II. The X-ray source catalog. The Astrophysical Journal Supplement Series, 161: 9, 2005.
go back to reference O. Le Fèvre, G. Vettolani, B. Garilli, L. Tresse, D. Bottini, V. Le Brun, and et al. The VIMOS VLT deep survey. First epoch VVDS-deep survey: 11564 spectra with \(17.5 < I_{AB} < 24\), and the redshift distribution over \(0 < z < 5\). Astronomy & Astrophysics, 439:845–862, 2005. O. Le Fèvre, G. Vettolani, B. Garilli, L. Tresse, D. Bottini, V. Le Brun, and et al. The VIMOS VLT deep survey. First epoch VVDS-deep survey: 11564 spectra with \(17.5 < I_{AB} < 24\), and the redshift distribution over \(0 < z < 5\). Astronomy & Astrophysics, 439:845–862, 2005.
go back to reference M. J. Mortonson, W. Hu, and D. Huterer. Simultaneous falsification of ΛCDM and quintessence with massive, distant clusters. Physical Review D, 83: 023015, 2011.CrossRef M. J. Mortonson, W. Hu, and D. Huterer. Simultaneous falsification of ΛCDM and quintessence with massive, distant clusters. Physical Review D, 83: 023015, 2011.CrossRef
go back to reference P. Schechter. An analytic expression for the luminosity function for galaxies. The Astrophysical Journal, 203:297–306, 1976.CrossRef P. Schechter. An analytic expression for the luminosity function for galaxies. The Astrophysical Journal, 203:297–306, 1976.CrossRef
Metadata
Title
The Prior
Authors
Stefano Andreon
Brian Weaver
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-15287-5_5

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