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Incorporating Nuisance Parameters in Likelihoods for Multisource Spectra · Around

2011

Incorporating Nuisance Parameters in Likelihoods for Multisource Spectra

Conway, J. S.

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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.

Built on

R. Barlow and C. Beeston, Comp. Phys. Comm. 77 (1993) 219
1993
Earlier work this paper cites.
G. Cowan, Statistical Data Analysis
1998
Earlier work this paper cites.

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A. Read, Nucl. Instrum. Meth. Res. A 425 (1999) 357-369
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C. Amsler et al. (Particle Data Group), Physics Letters B667 (2008) 1; available at http://pdg.lbl.gov/2009/reviews/rpp2009-rev-statistics.pdf
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