Method is described for the estimation of the energy of a primary particle initiating an extensive air shower (EAS) by a network of fast optical detectors being a part of a high mountain detector array, which was developed within a framework of Pamir XXI project. For a specific configuration of a network of 11 ×11 detectors an analysis was made of the uncertainties of energy estimates for EAS coming from different primary nuclei in 1 100 PeV energy range. For proton showers a technique of introducing corrections to energy estimates is considered cancelling the effe ct of strong longitudinal fluctuations of overshoot type. The results of the work could be useful for other high mountain projects as well as for the EAS method on the whole.
96.50.sd Extensive air showers
$^1$Tajik National University, Faculty of Physics, Tajikistan\
$^2$Umarov Physical Technical Institute of Academy of Sciences of Tajikistan\
$^3$Department of Space Physics, Faculty of P hysics, M.V.Lomonosov Moscow State University
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