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Title: Large covariance matrices: accurate models without mocks

Journal Article · · Monthly Notices of the Royal Astronomical Society
 [1];  [2]
  1. McWilliams Center for Cosmology, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA 15213, USA
  2. Harvard-Smithsonian Center for Astrophysics, 60 Garden St., Cambridge, MA 02138, USA

Abstract Covariance matrix estimation is a persistent challenge for cosmology. We focus on a class of model covariance matrices that can be generated with high accuracy and precision, using a tiny fraction of the computational resources that would be required to achieve comparably precise covariance matrices using mock catalogues. In previous work, the free parameters in these models were determined using sample covariance matrices computed using a large number of mocks, but we demonstrate that those parameters can be estimated consistently and with good precision by applying jackknife methods to a single survey volume. This enables model covariance matrices that are calibrated from data alone, with no reference to mocks.

Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0013718
OSTI ID:
1526095
Journal Information:
Monthly Notices of the Royal Astronomical Society, Journal Name: Monthly Notices of the Royal Astronomical Society Journal Issue: 2 Vol. 487; ISSN 0035-8711
Publisher:
Royal Astronomical SocietyCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (28)

Why your model parameter confidences might be too optimistic. Unbiased estimation of the inverse covariance matrix journal December 2006
The variance of correlation function estimates journal March 1994
HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere journal April 2005
A Valid and Fast Spatial Bootstrap for Correlation Functions journal July 2008
The Baryon Oscillation Spectroscopic Survey of Sdss-Iii journal December 2012
Accurate cosmic shear errors: do we need ensembles of simulations? journal October 2018
The Generalised Product Moment Distribution in Samples from a Normal Multivariate Population journal January 1928
Notes on bias in Estimation journal January 1956
Mock galaxy catalogues using the quick particle mesh method journal November 2013
Putting the precision in precision cosmology: How accurate should your data covariance matrix be? journal May 2013
The clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: including covariance matrix errors journal February 2014
nIFTy cosmology: Galaxy/halo mock catalogue comparison project on clustering statistics journal July 2015
Performance of internal covariance estimators for cosmic shear correlation functions journal December 2015
Estimating the power spectrum covariance matrix with fewer mock samples journal January 2016
Gaussian covariance matrices for anisotropic galaxy clustering measurements journal February 2016
Estimating sparse precision matrices journal May 2016
Large covariance matrices: smooth models from the two-point correlation function journal July 2016
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: observational systematics and baryon acoustic oscillations in the correlation function journal September 2016
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the configuration-space clustering wedges journal September 2016
Galaxy two-point covariance matrix estimation for next generation surveys journal September 2017
Dark matter statistics for large galaxy catalogues: power spectra and covariance matrices journal June 2018
The clustering of theSDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: measuring the anisotropic baryon acoustic oscillations with redshift weights journal July 2018
Comparing approximate methods for mock catalogues and covariance matrices – I. Correlation function journal October 2018
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: theoretical systematics and Baryon Acoustic Oscillations in the galaxy correlation function journal March 2018
Non-linear shrinkage estimation of large-scale structure covariance journal November 2016
Power spectrum super-sample covariance journal June 2013
The effect of covariance estimator error on cosmological parameter constraints journal September 2013
Statistical analysis of galaxy surveys - I. Robust error estimation for two-point clustering statistics journal June 2009

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