Estimating the Volumetric Rate of Fast Radio Bursts

Fast Radio Bursts (FRBs) are millisecond radio transients whose origins remain a major mystery in extragalactic astronomy. In order to connect FRBs with known cosmological source classes, we need to know the true volumetric rate of FRBs, accounting for selection effects. We present a survey-based calculation of the true volumetric rate R(z), considering the telescope threshold, k-correction, and star formation rate. Using CHIME/FRB, DSA-110, the ASKAP FRB catalogs, we can estimate the number of detectable FRBs given the survey flux limit and exposure time, quantifying their corresponding uncertainties. Based on our estimation, we compare their evolution with redshift to predictions from proposed FRB progenitor models. We use these calculations to constrain different FRB progenitor theories, such as young magnetars and compact object mergers.