Impact of prior assumptions on Bayesian estimates of inflation parameters and the expected gravitational waves signal from inflation

Wessel Valkenburg, Lawrence Krauss, Jan Hamann

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

There has been much recent discussion, and some confusion, regarding the use of existing observational data to estimate the likelihood that next-generation cosmic microwave background (CMB) polarization experiments might detect a nonzero tensor signal, possibly associated with inflation. We examine this issue in detail here in two different ways: (1) first we explore the effect of choice of different parameter priors on the estimation of the tensor-to-scalar ratio r and other parameters describing inflation, and (2) we examine the Bayesian complexity in order to determine how effectively existing data can constrain inflationary parameters. We demonstrate that existing data are not strong enough to render full inflationary parameter estimates in a parametrization- and prior-independent way and that the predicted tensor signal is particularly sensitive to different priors. For parametrizations where the Bayesian complexity is comparable to the number of free parameters we find that a flat prior on the scale of inflation (which is to be distinguished from a flat prior on the tensor-to-scalar ratio) leads us to infer a larger, and in fact slightly nonzero tensor contribution at 68% confidence level. However, no detection is claimed. Our results demonstrate that all that is statistically relevant at the current time is the (slightly enhanced) upper bound on r, and we stress that the data remain consistent with r=0.

Original languageEnglish (US)
Article number063521
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume78
Issue number6
DOIs
StatePublished - Sep 12 2008

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gravitational waves
tensors
estimates
scalars
confusion
confidence
microwaves
polarization

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Impact of prior assumptions on Bayesian estimates of inflation parameters and the expected gravitational waves signal from inflation. / Valkenburg, Wessel; Krauss, Lawrence; Hamann, Jan.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 78, No. 6, 063521, 12.09.2008.

Research output: Contribution to journalArticle

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