Bayesian analysis of spatially distorted cosmic signals from Poissonian data

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Abstract

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.

Author

Cornelius Weig, Torsten Ensslin

Journal

Monthly Notices of the Royal Astronomical Society, Volume 409, Issue 4, pp. 1393-1411

Paper Publication Date

December 2010

Paper Type

Astrostatistics