2017/02/28 by Toshihiro Nonaka, Masakiyo Kitazawa, ShinIchi Esumi
Mathematics · Physics and Astronomy · #Applied mathematics #Cumulant #Economics #Efficiency #High-Energy Particle Collisions Research #Mathematics #Order (exchange) #Simple (philosophy) #Statistical Mechanics and Entropy #Statistical Methods and Bayesian Inference #Statistics #hep-ph #nucl-ex #nucl-th #physics.data-an
paper · pdf · doi:10.1103/physrevc.95.064912
published as Phys. Rev. C 95, 064912 (2017) · 13 pages, 5 figures. Discussions regarding calculation cost has been added in IIID
openalex created_date 2017/05/05 · arxiv created 2017/06/10 · openalex publication_date 2017/06/26 · arxiv updated 2017/07/05 · openalex updated_date 2026/08/06
We derive formulas for the efficiency correction of cumulants with many efficiency bins. The derivation of the formulas is simpler than the previously suggested method, but the numerical cost is drastically reduced from the na"\ive method. From analytical and numerical analyses in simple toy models, we show that use of the averaged efficiency in the efficiency correction might cause large deviations in some cases and should not be used, especially for high order cumulants. These analyses show the importance of carrying out the efficiency correction without taking the average.