Average cosmological invariant parameters of cosmic gamma-ray bursts

Average cosmological invariant parameters (ACIPs) are calculated for six gr oups of BATSE cosmic gamma-ray bursts selected by their peak fluxes on the 1.024 s timescale. The ACIPs represent: the average temporal and spectral p roperties of these events equally in the observer frame of reference and in the comoving frames of outbursting emitters. The parameters are determined separately for rise fronts and for back slopes of bursts, defined as the t ime profiles before and after the main peaks, respectively. The ACIPs for t he rise fronts are found to be different for different intensity groups, wh ile the ACIPs for the back slopes show no significant dependence on intensi ty. We conclude that emitters of bursts manifest standard average propertie s only during the back slopes of bursts.