Research on statistics mathematical model of signal is the application of signal processing and analysis, it has an important role in the radio system. To be able to signal processing in many cases the authors need to know the formation process of signal and described it in a mathematical model. Generally, signals from the received systems of radio communication systems (information, communication, radar, radio-control, navigation, etc.), are random signals with the statistical properties
they are time-variation functions. This article studies, surveys, establishes mathematical models of random received radio signals, and sets up the signal modeling basing on the analysis of the statistical characteristics of signals.