More efficient formulas for efficiency correction of cumulants and effect of using averaged efficiency
Data Analysis, Statistics and Probability
2017-07-05 v3 High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
Abstract
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 naive method. From analytical and numerical analyses in simple toy models, we show that the use of the averaged efficiency in the efficiency correction can lead to wrong corrected values, which have larger deviation for higher order cumulants. These analyses show the importance of carrying out the efficiency correction without taking the average.
Keywords
Cite
@article{arxiv.1702.07106,
title = {More efficient formulas for efficiency correction of cumulants and effect of using averaged efficiency},
author = {Toshihiro Nonaka and Masakiyo Kitazawa and ShinIchi Esumi},
journal= {arXiv preprint arXiv:1702.07106},
year = {2017}
}
Comments
13 pages, 5 figures. Discussions regarding calculation cost has been added in IIID