A pitfall in the use of extended likelihood for fitting fractions of pure samples in mixed samples

Details A pitfall in the use of extended likelihood for fitting fractions of pure samples in mixed samples A pitfall in the use of extended likelihood for fitting fractions of pure samples in mixed samples

2008-03-19

arxiv.org/abs/0803.2711v2

Comput.Phys.Commun.180:269-275,2009

Physics

Data Analysis, Statistics and Probability

10 pages with 1 figure, to appear in Computer Physics Communications. New version including major changes and additions, resul

Scientific paper

10.1016/j.cpc.2008.10.008

The paper elucidates, with an analytic example, a subtle mistake in the
application of the extended likelihood method to the problem of determining the
fractions of pure samples in a mixed sample from the shape of the distribution
of a random variable. This mistake, which affects two widely used software
packages, leads to a misestimate of the errors.

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