The Linear Template Fit

نویسندگان

چکیده

The estimation of parameters from data is a common problem in many areas the physical sciences, and frequently used algorithms rely on sets simulated which are fit to data. In this article, an analytic solution for simulation-based parameter problems presented. matrix formalism, termed Linear Template Fit, calculates best estimators interest. It combines linear regression with method least squares. algorithm uses only predictions calculated few values interest, have been made available prior its execution. Fit particularly suited performance critical applications computationally intense simulations, otherwise often limited their usability statistical inference. Equations error propagation discussed detail given closed form. For nonlinear dependence Quadratic introduced. As example application, determination strong coupling constant inclusive jet cross section at CERN Large Hadron Collider studied compared previously published results.

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ژورنال

عنوان ژورنال: European Physical Journal C

سال: 2022

ISSN: ['1434-6044', '1434-6052']

DOI: https://doi.org/10.1140/epjc/s10052-022-10581-w