A New Approach to Statistics of Cosmological Gamma-Ray Bursts

Mathematics – Logic

Scientific paper

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Scientific paper

We use a new method of analysis to determine parameters of cosmological gamma-ray bursts (GRBs) assuming that their distribution follows the star-formation history of the universe. Spectral evolution is calculated from the fireball/blast wave model, and used to evaluate the observed peak flux, duration, and nu F_ν peak energy for a GRB source occuring at a given redshift and with given values of total energy, baryon-loading and environmental parameters. We then fit model distributions of GRB sources to the observed peak-flux size distribution, duration and nu F_ν peak energy distributions. Consistency of the assumption that the GRB source distribution traces the star formation history is checked. Implications for parameters and source models of GRBs are discussed.

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