2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38385We consider the issue of reporting the result of search experiment in the most unbiased and efficient way, i.e. in a way which allows an easy interpretation and combination of results and which do not depend on whether the experimenters believe or not to having found the searched-for effect. Since this work uses the language of Bayesian theory, to which most physicists are not used, we find that it could be useful to practitioners to have in a single paper a simple presentation of Bayesian inference, together with an example of application of it in search of rare processes.36 pages, 11 figures, Latex files using cernart.cls (included). This paper and related work are also available at http://www-zeus.roma1.infn.it/~agostini/prob+stat.htmlHigh Energy Physics - ExperimentAstrophysicsGeneral Relativity and Quantum CosmologyProbabilityNuclear ExperimentData Analysis, Statistics and Probabilitytext