Details
| Original language | English |
|---|---|
| Article number | 085001 |
| Number of pages | 7 |
| Journal | Physical Review D |
| Volume | 110 |
| Issue number | 8 |
| Publication status | Published - 1 Oct 2024 |
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 for convenient distribution. 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 result in significant sensitivity loss, because we discard more constraining data. In this paper, we introduce functional upper limits and confidence intervals that allow one to summarize results with a small relaxation of constraints. A toy example and an application to upper limits in all-sky continuous gravitational wave searches are worked out.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physical Review D, Vol. 110, No. 8, 085001, 01.10.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Efficient representations of upper limits and confidence intervals for experimental data
AU - Dergachev, Vladimir
N1 - Publisher Copyright: © 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.
PY - 2024/10/1
Y1 - 2024/10/1
N2 - 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 for convenient distribution. 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 result in significant sensitivity loss, because we discard more constraining data. In this paper, we introduce functional upper limits and confidence intervals that allow one to summarize results with a small relaxation of constraints. A toy example and an application to upper limits in all-sky continuous gravitational wave searches are worked out.
AB - 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 for convenient distribution. 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 result in significant sensitivity loss, because we discard more constraining data. In this paper, we introduce functional upper limits and confidence intervals that allow one to summarize results with a small relaxation of constraints. A toy example and an application to upper limits in all-sky continuous gravitational wave searches are worked out.
UR - http://www.scopus.com/inward/record.url?scp=85205689160&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2311.09911
DO - 10.48550/arXiv.2311.09911
M3 - Article
AN - SCOPUS:85205689160
VL - 110
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 8
M1 - 085001
ER -