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Cosmological Parameters and Hyper-Parameters: The Hubble Constant from Boomerang and Maxima

Published online by Cambridge University Press:  26 May 2016

Ofer. Lahav
Ofer. Lahav*
Affiliation:
Institute of Astronomy, Madingley Road, Cambridge, CB3 0HA, UK

Abstract

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We generalise the procedure for joint estimation of cosmological parameters to allow freedom in the relative weights of various probes. This is done by including in the joint Likelihood function a set of ‘Hyper-Parameters’, which are dealt with using Bayesian considerations. The resulting algorithm is simple to implement. We illustrate the method by estimating the Hubble constant H0 from the recent Cosmic Microwave Background experiments Boomerang and Maxima. For an assumed flat Λ-CDM model with fixed parameters (n = 1, Ωm = 1 - Δ = 0.3, Ωbh2 = 0.03, Qrms = 18μK) we solve for a single parameter, H0 = 79 ± 4 km/sec/Mpc (95 % CL, random errors only), slightly higher but still consistent with recent results from Cepheids. We discuss how the ‘Hyper-Parameters’ approach can be generalised for a combination of cosmic probes, and for other priors on the Hyper-Parameters.

Type
Part IX: Putting it all together
Information
Symposium - International Astronomical Union , Volume 201: New Cosmological Data and the Values of the Fundamental Parameters , 2005 , pp. 377 - 387
Copyright
Copyright © Astronomical Society of the Pacific 2005 

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