  A new approach to provide a fruitful analysis of signal amplitude is
proposed. It is this method that has made it possible to eliminate some
observed artificial events from the list of candidates for decays of superheavy
nuclei. Examples of estimates of measured amplitudes of evaporation residues
(EVR) are presented. Some attention is paid to a new hard statistical criterion
for detecting rare events. This criterion can be applied in the case of
significant role of random factors.
