Statistical properties of fast radio bursts elucidate their origins: magnetars are favored over gamma-ray bursts

Fast radio bursts (FRBs) are extremely strong flares lasting several milliseconds, most of which come from unidentified objects at a cosmological distance. They can be apparently repeating or not. In this paper, we analyzed 18 repeaters and 12 non-repeating FRBs observed in the frequency bands 400-800 MHz CHIME. We investigated distributions FRB isotropic-equivalent luminosity, considering K correction. Statistically, luminosity distribution better fitted by Gaussian form than power-law. Based on above results, together with event rate, pulse duration, origin models evaluated constrained such that gamma-ray (GRBs) may excluded for non-repeaters while magnetars neutron stars (NSs) emitting supergiant pulses preferred repeaters. also found necessity small emission beaming solid angle (about 0.1 sr) should considered, and/or association soft (SGRs) lie low probability about 10%. Finally, discussed uncertainty caused estimation distance is inferred simple relation between redshift dispersion measure (DM).