Are gamma-ray bursts cosmological?
  Gamma-ray burst sources are distributed with a high level of isotropy, which
is compatible with either a cosmological origin or an extended Galactic halo
origin. The brightness distribution is another indicator used to characterize
the spatial distribution in distance. In this paper the author discusses
detailed fits of the BATSE gamma-ray burst peak-flux distributions with
Friedmann models taking into account possible density evolution and standard
candle luminosity functions. A chi-square analysis is used to estimate the
goodness of the fits and the author derives the significance level of limits on
the density evolution and luminosity function parameters. Cosmological models
provide a good fit over a range of parameter space which is physically
reasonable
