Covariance matrices for halo number counts and correlation functions

2011/04/30 by Patrick Valageas, Nicolas Clerc, N. Clerc +4 · 24 citations
Mathematics · Physics and Astronomy · #Astrophysics #Correlation #Correlation function (quantum field theory) #Cosmology and Gravitation Theories #Covariance #Covariance matrix #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gaussian #Halo #Mathematics #Physics #Quantum mechanics #Redshift #Sample variance #Scientific Research and Discoveries #Statistical physics #Statistics #Variance (accounting) #astro-ph.CO

paper · pdf · doi:10.1051/0004-6361/201117117

published in Astronomy and Astrophysics 536, A95 (EDP Sciences) · 37 pages

openalex publication_date 2011/11/04 · arxiv created 2012/01/24 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Aims. We study the mean number counts and two-point correlation functions, along with their covariance matrices, of cosmological surveys such as for clusters. In particular, we consider correlation functions averaged over finite redshift intervals, which are well suited to cluster surveys or populations of rare objects, where one needs to integrate over nonzero redshift bins to accumulate enough statistics.

Citations

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