SIMBAD references

In this paper, we examine the spatial distribution of gamma-ray bursts (GRBs) using a sample of 373 objects. We subdivide the GRB data into two redshift intervals over the redshift range 0 < z < 6.7. We measure the two-point correlation function, ξ(r), of the GRBs. In determining the separation distance of the GRB pairs, we consider two representative cosmological models: a cold dark matter universe plus a cosmological constant Λ, with (Ω_m, Ω_Λ) = (0.28, 0.72), and an Einstein-de Sitter universe, with (Ω_m, Ω_Λ) = (1, 0). We find a z-decreasing correlation of the GRB distribution, which is in agreement with the predictions of the current structure formation theory. We fit a power-law model to the measured ξ(r) and obtain an amplitude and slope of Mpc and γ = 0.80±0.19, respectively (1σ confidence level), over the scales r = 200-10⁴ h^–1 Mpc. Our results provide a supplement to the measurement of matter correlation on large scales, while the matter distribution below 200 h^–1 Mpc is usually described by the correlation function of galaxies.