Physics:Quantum data analysis/Integral Correlation functions
Integral correlation functions reduce correlation information to quantities integrated over a selected region of phase space. They are useful when the goal is to compare total correlation strength, fluctuation magnitude, or cumulative structure across event classes. The price of integration is loss of detailed shape information, so the integration region must be physically motivated and clearly documented.[1]
Definition
An integral correlation is obtained by summing or integrating a differential correlation over specified bins, ranges, or weights. The result depends on the chosen acceptance, normalization, and reference sample.[1]
Use cases
Integrated quantities are useful for comparing models, measuring global fluctuations, summarizing collective effects, and reporting compact observables. They are often more stable statistically than finely binned differential correlations.[2]
Limitations
Because different physical mechanisms can contribute to the same integrated value, integral correlations should be interpreted together with differential checks, control regions, and systematic variations.[3]
See also
Table of contents (60 articles)
Index
Full contents
References
- ↑ 1.0 1.1 Cowan, Glen (1998). Statistical Data Analysis. Oxford University Press. ISBN 978-0-19-850156-5.
- ↑ Lyons, Louis (1986). Statistics for Nuclear and Particle Physicists. Cambridge University Press. ISBN 978-0-521-37934-2.
- ↑ "Review of Particle Physics". Physical Review D 110 (3): 030001. 2024. doi:10.1103/PhysRevD.110.030001.
Source attribution: Physics:Quantum data analysis/Integral Correlation functions
