A New Technique for Finding Needles in Haystacks: A Geometric Approach to Distinguishing Between a New Source and Random Fluctuations

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dc.creatorPilla, Ramani S.
dc.creatorLoader, Catherine
dc.creatorTaylor, Cyrus
dc.date2005-05-29
dc.date.accessioned2026-07-07T06:24:41Z
dc.date.available2026-07-07T06:24:41Z
dc.descriptionWe propose a new test statistic based on a score process for determining the statistical significance of a putative signal that may be a small perturbation to a noisy experimental background. We derive the reference distribution for this score test statistic; it has an elegant geometrical interpretation as well as broad applicability. We illustrate the technique in the context of a model problem from high-energy particle physics. Monte Carlo experimental results confirm that the score test results in a significantly improved rate of signal detection.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/physics/0505200
dc.identifierhttp://arxiv.org/abs/physics/0505200
dc.identifierPhys.Rev.Lett. 95 (2005) 230202
dc.identifierdoi:10.1103/PhysRevLett.95.230202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96629
dc.subjectData Analysis, Statistics and Probability
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Experiment
dc.titleA New Technique for Finding Needles in Haystacks: A Geometric Approach to Distinguishing Between a New Source and Random Fluctuations
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