Statistical analysis of rare events - synthesis of the element 114

Rare events pose a problem is an observed chain of radioactive decays that of the background, or are they genetically linked? The paper suggests an ap proach for the problem solution, based on formalization of the background c oncept. This approach is an inevitable alternative to other methods, which require the a priori information about the linked decays, in a situation wh en such information is absent, but, instead, the background information is available, e.g., from the calibration measurements. The method is illustrat ed by the analysis of data registered in the experiment on the synthesis of the element 114 as one of practically important examples of the analysis o f rare events.