Estimating a Signal In the Presence of an Unknown Background

Details Estimating a Signal In the Presence of an Unknown Background Estimating a Signal In the Presence of an Unknown Background

2011-12-10

arxiv.org/abs/1112.2299v2

Physics

Data Analysis, Statistics and Probability

Scientific paper

We describe a method for fitting distributions to data which only requires knowledge of the parametric form of either the signal or the background but not both. The unknown distribution is fit using a non-parametric kernel density estimator. The method returns parameter estimates as well as errors on those estimates. Simulation studies show that these estimates are unbiased and that the errors are correct.

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