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2011

Estimating the significance of a signal in a multi-dimensional search

Vitells, Ofer, Gross, Eilam

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In experiments that are aimed at detecting astrophysical sources such as neutrino telescopes, one usually performs a search over a continuous parameter space (e.g.

the angular coordinates of the sky, and possibly time), looking for the most significant deviation from the background hypothesis.
Such a procedure inherently involves a "look elsewhere effect", namely, the possibility for a signal-like fluctuation to appear anywhere within the search range.
Correctly estimating the $p$-value of a given observation thus requires repeated simulations of the entire search, a procedure that may be prohibitively expansive in terms of CPU resources.

Estimating the significance of a signal in a multi-dimensional search · Around

Built on

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R.B. Davies, Hypothesis testing when a nuisance parameter is present only under the alternative. , Biometrika 74
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Then

J. Braun, J. Dumma, F. De Palmaa, C. Finleya, A. Karlea and T. Montaruli, Methods for point source analysis in high energy neutrino telescopes , Astropart. Phys. 29
Original
2008
Later among the works it cites.
E. Gross and O. Vitells, Trial factors for the look elsewhere effect in high energy physics , Eur. Phys. J. C, 70
2010
Later among the works it cites.
G. Cowan, K. Cranmer, E. Gross and O. Vitells, Asymptotic formulae for likelihood-based tests of new physics , Eur. Phys. J. C 71
Original
2011
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