The truncated lognormal distribution as a luminosity function for
  SWIFT-BAT gamma-ray bursts
  The determination of the luminosity function (LF) in gamma ray bursts (GRBs)
depends on the adopted cosmology, each one characterized by its corresponding
luminosity distance. Here we analyse three cosmologies: the standard cosmology,
the plasma cosmology, and the pseudo-Euclidean universe. The LF of the GRBs is
firstly modeled by the lognormal distribution and the four broken power law,
and secondly by a truncated lognormal distribution. The truncated lognormal
distribution fits acceptably the range in luminosity of GRBs as a function of
the redshift.
