Cosmological parameter inference from galaxy clustering: the effect of the posterior distribution of the power spectrum

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dc.contributor.author Kalus, B.
dc.contributor.author Percival, W. J.
dc.contributor.author Samushia, Lado
dc.date.accessioned 2016-09-20T17:31:10Z
dc.date.available 2016-09-20T17:31:10Z
dc.identifier.uri http://hdl.handle.net/2097/34006
dc.description Citation: Kalus, B., Percival, W. J., & Samushia, L. (2016). YCosmological parameter inference from galaxy clustering: the effect of the posterior distribution of the power spectrum. Monthly Notices of the Royal Astronomical Society, 455(3), 2573-2581. doi:10.1093/mnras/stv2307
dc.description.abstract We consider the shape of the posterior distribution to be used when fitting cosmological models to power spectra measured from galaxy surveys. At very large scales, Gaussian posterior distributions in the power do not approximate the posterior distribution P-R we expect for a Gaussian density field delta(k), even if we vary the covariance matrix according to the model to be tested. We compare alternative posterior distributions with P-R, both mode-by-mode and in terms of expected measurements of primordial non-Gaussianity parametrized by f(NL). Marginalising over a Gaussian posterior distribution P-f with fixed covariance matrix yields a posterior mean value of f(NL) which, for a data set with the characteristics of Euclid, will be underestimated by Delta f(NL) = 0.4, while for the data release 9 of the Sloan Digital Sky Survey-III Baryon Oscillation Spectroscopic Survey (BOSS DR9; Ahn et al.) it will be underestimated by Delta f(NL) = 19.1. Adopting a different form of the posterior function means that we do not necessarily require a different covariance matrix for each model to be tested: this dependence is absorbed into the functional form of the posterior. Thus, the computational burden of analysis is significantly reduced.
dc.relation.uri https://doi.org/10.1093/mnras/stv2307
dc.rights This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society ©: 2015 The Authors, Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.
dc.rights.uri http://www.oxfordjournals.org/en/access-purchase/rights-and-permissions/self-archiving-policyp.html
dc.subject Methods: Statistical
dc.subject Inflation
dc.subject Large-Scale Structure Of Universe
dc.subject Primordial Non-Gaussianity
dc.subject Oscillation Spectroscopic Survey
dc.subject Sdss-Iii
dc.title Cosmological parameter inference from galaxy clustering: the effect of the posterior distribution of the power spectrum
dc.type Article
dc.date.published 2015
dc.citation.doi 10.1093/mnras/stv2307
dc.citation.epage 2581
dc.citation.issn 0035-8711
dc.citation.issue 3
dc.citation.jtitle Monthly Notices of the Royal Astronomical Society
dc.citation.spage 2573
dc.citation.volume 455
dc.contributor.authoreid lado


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