Abstract
The merger of binary compact objects can lead to dramatic energy releases in the Universe. Gravitational wave (GW) and electromagnetic (EM) counterparts have been proposed and confirmed in many events. Some early research proposed that these mergers might be the origin of Fast Radio Bursts (FRBs). Due to their short durations and cosmological distances, the dispersion measure (DM)-redshift (z) relations of FRBs are useful for constraining cosmological parameters and detecting baryons in the Universe. However, localizing FRBs and obtaining their redshifts is not an easy task. Thus, the luminosity distance from GWs can serve as a standard siren and help constrain cosmological parameters. In this paper, based on the DM-luminosity relation and the latest corrected PDF, we use Bayesian analysis to study this possibility.