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Article
Title Estimating the "look elsewhere effect" when searching for a signal
Author(s) Vitells, Ofer (Weizmann Inst.)
Publication Geneva : CERN, 2011
Imprint 2011-01-17
Number of pages 7
In: Proceedings of the PHYSTAT 2011 Workshop on Statistical Issues Related to Discovery Claims in Search Experiments and Unfolding, pp.183-189
DOI 10.5170/CERN-2011-006.183
Subject category Particle Physics - Experiment ; Detectors and Experimental Techniques
Abstract The "look elsewhere effect" refers to a common situation where one searchesfor a signal in some space of parameters-for example, a resonance search withunknown mass, or a search for astrophysical point sources with unknown locationin the sky. Since Wilks' theorem does not apply in such cases, one usually hasto resort to computationally expansive Monte-Carlo simulations in order tocorrectly estimate the significance of a given observation. Recent results fromthe theory of random fields provide powerful tools which may be used toalleviate this difficulty, in a wide range of applications. We review thoseresults and discuss their implementation in problems of practical interest.
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