The two-point correlation function of the GRBs

Anotace: We analysed the spatial distribution of 542 GRBs with measured position and spectroscopic redshift up to 31 Aug 2022. Using kernel smoothing, we determined the GRB’s Sky Exposure Function and used it in the generation of random catalogues. The spatial Two-Point Correlation Function for GRBs was determined by partitioning the data based on the origin of the redshift (afterglow or host galaxy). The resulting ξ(r) Two-Point Correlation functions remain below the 3σ noise level, suggesting no significant differences between the Two-Point Correlation functions of the random and real datasets.