Statistical characteristics of the fluxes of single-electron pulses (SEP) and photocounts (PC) were studied using a numerical simulation method. The radiation recorded is assumed to have lognormal intensity distribution. The numerical simulation algorithm is described, which is realized following the “intensity — photodetector — SEP flux – PC flux” scheme. The results calculated for different statistical characteristics of the SEP and PC fluxes are discussed and interpreted. A significant difference between them has been revealed for the lognormal and exponential intensity distributions.