Efficient representations of upper limits and confidence intervals for 
experimental data

Dergachev, Vladimir

doi:10.1103/PhysRevD.110.085001

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Efficient representations of upper limits and confidence intervals for experimental data

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Dergachev, Vladimir
Searching for Continuous Gravitational Waves, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Citation

Dergachev, V. (2024). Efficient representations of upper limits and confidence intervals for experimental data. Physical Review D, 110(8): 085001. doi:10.1103/PhysRevD.110.085001.

Cite as: https://hdl.handle.net/21.11116/0000-000E-0799-E

Abstract

Upper limits and confidence intervals are a convenient way to present
experimental results. With modern experiments producing more and more data, it
is often necessary to reduce the volume of the results. A common approach is to
take a maximum over a set of upper limits, which yields an upper limit valid
for the entire set. This, however, can be very inefficient. In this paper we
introduce functional upper limits and confidence intervals that allow to
summarize results much more efficiently. An application to upper limits in
all-sky continuous gravitational wave searches is worked out, with a method of
deriving upper limits using linear programming.