Constraints on cosmological parameters from gamma-ray burst peak photon
  energy and bolometric fluence measurements and other data
  We use measurements of the peak photon energy and bolometric fluence of 119
gamma-ray bursts (GRBs) extending over the redshift range of $0.3399 \leq z
\leq 8.2$ to simultaneously determine cosmological and Amati relation
parameters in six different cosmological models. The resulting Amati relation
parameters are almost identical in all six cosmological models, thus validating
the use of the Amati relation in standardizing these GRBs. The GRB data
cosmological parameter constraints are consistent with, but significantly less
restrictive than, those obtained from a joint analysis of baryon acoustic
oscillation and Hubble parameter measurements.
