Incorporating Nuisance Parameters in Likelihoods for Multisource Spectra

We describe here the general mathematical approach to constructing likelihoods for fitting observed spectra in one or more dimensions with multiple sources, including the effects of systematic uncertainties represented as nuisance parameters, when the likelihood is to be maximized with respect to th...

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Detalles Bibliográficos
Autor principal: Conway, J.S.
Lenguaje:eng
Publicado: 2011
Materias:
Other Fields of Physics
Acceso en línea:https://dx.doi.org/10.5170/CERN-2011-006.115
http://cds.cern.ch/record/1333496
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author Conway, J.S.
author_facet Conway, J.S.
author_sort Conway, J.S.
collection CERN
description We describe here the general mathematical approach to constructing likelihoods for fitting observed spectra in one or more dimensions with multiple sources, including the effects of systematic uncertainties represented as nuisance parameters, when the likelihood is to be maximized with respect to these parameters. We consider three types of nuisance parameters: simple multiplicative factors, source spectra "morphing" parameters, and parameters representing statistical uncertainties in the predicted source spectra.
id cern-1333496
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
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spelling cern-13334962022-08-10T20:50:25Zdoi:10.5170/CERN-2011-006.115http://cds.cern.ch/record/1333496engConway, J.S.Incorporating Nuisance Parameters in Likelihoods for Multisource SpectraOther Fields of PhysicsWe describe here the general mathematical approach to constructing likelihoods for fitting observed spectra in one or more dimensions with multiple sources, including the effects of systematic uncertainties represented as nuisance parameters, when the likelihood is to be maximized with respect to these parameters. We consider three types of nuisance parameters: simple multiplicative factors, source spectra "morphing" parameters, and parameters representing statistical uncertainties in the predicted source spectra.We describe here the general mathematical approach to constructing likelihoods for fitting observed spectra in one or more dimensions with multiple sources, including the effects of systematic uncertainties represented as nuisance parameters, when the likelihood is to be maximized with respect to these parameters. We consider three types of nuisance parameters: simple multiplicative factors, source spectra 'morphing' parameters, and parameters representing statistical uncertainties in the predicted source spectra.arXiv:1103.0354oai:cds.cern.ch:13334962011-03-03
spellingShingle Other Fields of Physics
Conway, J.S.
Incorporating Nuisance Parameters in Likelihoods for Multisource Spectra
title Incorporating Nuisance Parameters in Likelihoods for Multisource Spectra
title_full Incorporating Nuisance Parameters in Likelihoods for Multisource Spectra
title_fullStr Incorporating Nuisance Parameters in Likelihoods for Multisource Spectra
title_full_unstemmed Incorporating Nuisance Parameters in Likelihoods for Multisource Spectra
title_short Incorporating Nuisance Parameters in Likelihoods for Multisource Spectra
title_sort incorporating nuisance parameters in likelihoods for multisource spectra
topic Other Fields of Physics
url https://dx.doi.org/10.5170/CERN-2011-006.115
http://cds.cern.ch/record/1333496
work_keys_str_mv AT conwayjs incorporatingnuisanceparametersinlikelihoodsformultisourcespectra

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