Incorporating Nuisance Parameters in Likelihoods for Multisource Spectra

2011/03/02 by J. S. Conway, Conway, J. S. · 18 citations
Physics and Astronomy · #Data Analysis #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #Statistics and Probability (physics.data-an) #hep-ex #physics.data-an

paper · pdf · doi:10.48550/arxiv.1103.0354

Presented at PHYSTAT 2011, CERN, Geneva, Switzerland, January 2011, to be published in a CERN Yellow Report

arxiv created 2011/03/02 · arxiv updated 2011/03/03

Abstract

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.

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