Journal Article

Bayesian analysis of spatially distorted cosmic signals from Poissonian data

Cornelius Weig and Torsten A. Enßlin

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 409, issue 4, pages 1393-1411
Published in print December 2010 | ISSN: 0035-8711
Published online December 2010 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2010.17122.x
Bayesian analysis of spatially distorted cosmic signals from Poissonian data

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Reconstructing the matter density field from galaxy counts is a problem frequently addressed in current literature. Two main sources of error are shot noise from galaxy counts and insufficient knowledge of the correct galaxy position because of peculiar velocities and redshift measurement uncertainty. Here, we address the reconstruction problem of a Poissonian sampled lognormal density field with velocity distortions in a Bayesian way using a maximum a posteriori method. We test our algorithm on a one-dimensional test case and find significant improvement compared to simple data inversion. In particular, we address the following problems: photometric redshifts, mapping of extended sources in coded mask systems, real space reconstruction from redshift space galaxy distribution and combined analysis of data with different point spread functions.

Keywords: methods: data analysis; techniques: photometric; dark matter; large-scale structure of Universe

Journal Article.  14206 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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