Distribution of intensities of gamma-ray bursts

A spatial distribution of gamma-ray bursts which is based on a log N - log n(max) relation, where N is the number of bursts which have a maximum photon count rate in excess of n(max), is proposed. A relation of N of about n(max) exp -1.5 is predicted for the case of sources uniformly distributed in infinite, flat space. It is noted that the apparently isotropic distribution of about 100 bursts over the sky combined with the N of about n(max) exp -1.5 distribution does not permit a purely observational distance estimate for the sources. It is predicted that the data from the GRANAT and GRO missions will help distinguish between a Galactic and an extragalactic origin of the bursts. 22 references