Confidence Intervals and Upper Bounds for Small Signals in the Presence of Background Noise

Details Confidence Intervals and Upper Bounds for Small Signals in the Presence of Background Noise Confidence Intervals and Upper Bounds for Small Signals in the Presence of Background Noise

2000-05-18

arxiv.org/abs/hep-ph/0005187v2

Nucl.Instrum.Meth. A458 (2001) 745-758

Physics

High Energy Physics

High Energy Physics - Phenomenology

Document was created by Sciword V3.0, it consists of one main document (lrt.tex), eight figures (figure1.eps - figure8.eps) an

Scientific paper

10.1016/S0168-9002(00)00935-9

We discuss a new method for setting limits on small signals in the presence of background noise. The method is based on a combination of a two dimensional confidence region and the large sample approximation to the likelihood ratio test statistic. It automatically quotes upper limits for small signals and two-sided confidence intervals for larger samples. We show that this method gives the correct coverage and also has good power.

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