The subject of the article is the process of functioning of the modern aircraft electronic system, its components and functional units as an object of mathematical model. The purpose is to analyze an existing mathematical apparatus, which is used to calculate the failure flow of the plane radio-electronic system and opportunities for its improvement. Tasks: to build mathematical models of the failure flow of components, functional units and the plane radio-electronic system as a whole with an unlimited number of recoveries with different depth of resource recovery. The analyzed methods are: parametric methods and probabilistic methods for assessment failureless. The results obtained: mathematical models of the failure flow of the circuit positions of the aircraft electronic system were developed. Conclusions. A generalization of the well-known mathematical models of the failure flow with an unlimited number of minimum restorations of finite duration is obtained as a result of consideration of mathematical models of the failure flow of the circuit positions of the plane radio-electronic system.