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arXiv · hep-ph/0206139

Correcting the Minimization Bias in Searches for Small Signals

Wolfgang A. Rolke·Angel M. Lopez
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Abstract

We discuss a method for correcting the bias in the limits for small signals if those limits were found based on cuts that were chosen by minimizing a criterion such as sensitivity. Such a bias is commonly present when a "minimization" and an "evaluation" are done at the same time. We propose to use a variant of the bootstrap to adjust the limits. A Monte Carlo study shows that these new limits have correct coverage.

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Wolfgang A. Rolke, Angel M. Lopez. 2002-06-15. Correcting the Minimization Bias in Searches for Small Signals. https://doi.org/10.1016/s0168-9002(03)00428-5

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