Uncertainties due to imperfect knowledge of systematic effects: general considerations and approximate formulae
High Energy Physics - Experiment
2007-05-23 v1 Data Analysis, Statistics and Probability
Abstract
Starting from considerations about meaning and subsequent use of asymmetric uncertainty intervals of experimental results, we review the issue of uncertainty propagation. We show that, using a probabilistic approach (the so-called Bayesian approach), all sources of uncertainty can be included in a logically consistent way. Practical formulae for the first moments of the probability distribution are derived up to second-order approximations.
Keywords
Cite
@article{arxiv.hep-ex/0002056,
title = {Uncertainties due to imperfect knowledge of systematic effects: general considerations and approximate formulae},
author = {G. D'Agostini and M. Raso},
journal= {arXiv preprint arXiv:hep-ex/0002056},
year = {2007}
}
Comments
23 pages, 6 figures. This paper and related work are also available at http://www-zeus.roma1.infn.it/~agostini/prob+stat.html