Covariance matrices for halo number counts and correlation functions

2011/04/30 by Patrick Valageas, Nicolas Clerc, N. Clerc +4
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 as Astron.Astrophys. (2011), 536, A95 · 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

• The XMM-LSS survey: the Class 1 cluster sample over the initial 5 deg2 and its cosmological modelling
• The structural and scaling properties of nearby galaxy clusters
• Catalog extraction in SZ cluster surveys: a matched filter approach
• Self‐Calibration in Cluster Studies of Dark Energy: Combining the Cluster Redshift Distribution, the Power Spectrum, and Mass Measurements
• Power Spectrum Correlations Induced by Nonlinear Clustering
• The three-point correlation function of luminous red galaxies in the Sloan Digital Sky Survey
• Statistical analysis of catalogs of extragalactic objects. VII - Two- and three-point correlation functions for the high-resolution Shane-Wirtanen catalog of galaxies
• A Comparison of Estimators for the Two-Point Correlation Function
• Full-sky weak-lensing simulation with 70 billion particles
• The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications
• Cosmological constraints from the SDSS luminous red galaxies
• Constraints on σ8 from galaxy clustering in N-body simulations and semi-analytic models
• Toward a Halo Mass Function for Precision Cosmology: The Limits of Universality
• Three‐YearWilkinson Microwave Anisotropy Probe(WMAP) Observations: Implications for Cosmology
• Cosmology with weak lensing surveys