This paper uses the Bayesian model-selection to find the linear regression that is most supported by the data. It uses a hierarchical model to improve and to extend to weighted data from the results of a previous investigation. As an application example, it shows how the results can be used to investigate the consistency of measurements carried out to determine the central second-moment of the angular power-spectrum of a laser beam.

Bayesian model selection applied to linear regressions with weighted data / Mana, Giovanni; Massa, Enrico; Sasso, Carlo Paolo. - In: METROLOGIA. - ISSN 0026-1394. - 56:2(2019). [10.1088/1681-7575/ab0338]

Bayesian model selection applied to linear regressions with weighted data

Mana, Giovanni
;
Massa, Enrico;Sasso, Carlo Paolo
2019

Abstract

This paper uses the Bayesian model-selection to find the linear regression that is most supported by the data. It uses a hierarchical model to improve and to extend to weighted data from the results of a previous investigation. As an application example, it shows how the results can be used to investigate the consistency of measurements carried out to determine the central second-moment of the angular power-spectrum of a laser beam.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11696/60147
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