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Large Covariance Matrices: Accurate Models Without Mocks

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arxiv 1808.05978 v1 pith:OBNJRYBW submitted 2018-08-17 astro-ph.CO

Large Covariance Matrices: Accurate Models Without Mocks

classification astro-ph.CO
keywords covariancematricesmockslargemodelmodelsparametersprecision
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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