Role of fluctuations in the primary energy estimation of cosmic rays

Energy spectrum and chemical composition of primary cosmic ray for energies higher than 1 PeV are obtained mainly from research on the intensity and properties of extensive air showers (EAS). Similar additional information is obtained from research on properties of gamma ray families. A common characteristic of these researches is the fact that we are working in the range of high fluctuation parameters serving us to obtain primary energy spectrum. In this research different probability distributions have been used as well as their convolutions with the power spectrum. The role of the influence of different parameters on measurements of the primary energy spectrum.