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High Energy Physics - Lattice
Title: On fits to correlated and auto-correlated data
(Submitted on 28 Sep 2022 (v1), last revised 18 Mar 2023 (this version, v2))
Abstract: Observables in particle physics and specifically in lattice QCD calculations are often extracted from fits. Standard $\chi^2$ tests require a reliable determination of the covariance matrix and its inverse from correlated and auto-correlated data, a challenging task often leading to close-to-singular estimates. These motivate modifications of the definition of $\chi^2$ such as uncorrelated fits. We show how the goodness-of-fit measured by their p-value can still be estimated robustly for a broad class of such fits.
Submission history
From: Mattia Bruno [view email][v1] Wed, 28 Sep 2022 16:01:01 GMT (866kb,D)
[v2] Sat, 18 Mar 2023 14:33:26 GMT (868kb,D)
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