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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 H 0 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, Ωb h 2 = 0.03, Q rms = 18μK) we solve for a single parameter, H 0 = 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.

Information

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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