Peculiarities of applying the ω n k criterion for the electron identification problem based on the transition radiation detector in the compressed baryonic matter experiment

The problem of electron identification under conditions of a dominating pion background with the help of a multilayered transition radiation detector (TRD) in the Compressed Baryonic Matter (CBM) experiment is considered. With this aim, various mathematical methods, including methods based on the nonparametric goodness-of-fit ω n k criterion, have been elaborated and investigated. The characteristic properties of distributions of energy losses by electrons and pions in the TRD radiators are considered, and specific features of applying traditional statistical methods, methods based on the ω n k criterion, and artificial neural networks to the analyzed problem are discussed. The results of a comparative analysis of the power of these methods are presented, and recommendations for their usage are given.