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Power-Constrained Limits · Around

2011

Power-Constrained Limits

Cowan, Glen, Cranmer, Kyle, Gross, Eilam et al.

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We propose a method for setting limits that avoids excluding parameter values for which the sensitivity falls below a specified threshold.

These "power-constrained" limits (PCL) address the issue that motivated the widely used CLs procedure, but do so in a way that makes more transparent the properties of the statistical test to which each value of the parameter is subjected.
A case of particular interest is for upper limits on parameters that are proportional to the cross section of a process whose existence is not yet established.
The basic idea of the power constraint can easily be applied, however, to other types of limits.

Built on

Virgil L. Highland, Estimation of Upper Limits from Experimental Data
1987
Earlier work this paper cites.
Robert D. Cousins and Gary J. Feldman, Phys. Rev. D 57, 3873 (1998)
Original
1998
Earlier work this paper cites.
A. Stuart, J.K. Ord, and S. Arnold, Kendall’s Advanced Theory of Statistics
1999
Earlier work this paper cites.

Similar

T. Junk, Nucl. Instrum. Methods Phys. Res., Sec. A 434
2002
Cited alongside, same era.
Louis Lyons and Müge Karagöz Ünel (eds.), Statistical Problems in Particle Physics, Astrophysics and Cosmology
2006
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K. Nakamura et al. (Particle Data Group), J. Phys. G 37, 075021 (2010); pdg.lbl.gov
2010
Cited alongside, same era.

Then

Vinay L. Kashyap et al., On Computing Upper Limits to Source Intensities
Original
2010
Later among the works it cites.
Glen Cowan, Kyle Cranmer, Eilam Gross and Ofer Vitells, Eur. Phys. J. C 71 (2011) 1-19
2011
Closest in time.

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