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Description
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, {xi}(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 {Lambda}, with ({Omega}_m_,{Omega}_{Lambda}_)=(0.28,0.72), and an Einstein-de Sitter universe, with ({Omega}_m_,{Omega}_{Lambda}_)=(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 {xi}(r)=(r/r0)^-{gamma}^ to the measured {xi}(r) and obtain an amplitude and slope of r_0_=1235.2+/-342.6h^-1^Mpc and {gamma}=0.80+/-0.19, respectively (1{sigma} confidence level), over the scales r=200-10^4^h^-1^Mpc. Our results provide a supplement to the measurement of matter correlation on large scales, while the matter distribution below 200h^-1^Mpc is usually described by the correlation function of galaxies.
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