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Measuring the cosmological parameters with the<i>E</i><sub>p,<i>i</i></sub>-<i>E</i><sub>iso</sub>correlation of gamma-ray bursts
We have used the Ep,i–Eiso correlation of gamma-ray bursts (GRBs) to measure the cosmological parameter ΩM. By adopting a maximum likelihood approach which allows us to correctly quantify the extrinsic (i.e. non-Poissonian) scatter of the correlation, we constrain (for a flat universe) ΩM to 0.04–0.40 (68 per cent confidence level), …