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A phenomenological model of gamma-ray-burst spectra is used to calculate the statistics of gamma-ray bursts originating at cosmological distances. A model of bursters with no source evolution in a q₀=1/2 Friedmann cosmology is in accord with recent observations of the differential V/Vₘₐₓ distribution. The data are best fitted with an average peak burst luminosity of 4(±{}2)×{}10⁵¹ ergs s^-1 and a present-day source emissivity of 940±{}440 bursts/(10¹⁰ yr) Mpc³. A spectral test of the cosmological hypothesis is proposed.
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C. D. Dermer (1992) studied this question.
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