A maximum-likelihood estimate of the parameters of the fast radio burst population

ABSTRACT We consider a sample of 82 non-repeating fast radio bursts (FRBs) detected at Parkes, ASKAP, CHIME, and UTMOST, each which operates over different frequency range has detection criterion. Using simulations, we perform maximum-likelihood analysis to determine the FRB population model that best fits these data. Our shows models where pulse scatter broadening increases moderately with redshift (z) are preferred those this very sharply or scattering is absent. Further, comoving event rate density constant z it follows cosmological star formation rate. Two for host dispersion measure (DMHost) distribution (a fixed random DMHost) found predict comparable results. obtain best-fitting parameter values $\alpha =-1.53^{+0.29}_{-0.19}$, $\overline{E}_{33}=1.55^{+0.26}_{-0.22}$, γ = 0.77 ± 0.24. Here α spectral index, exponent Schechter luminosity function, $\overline{E}_{33}$ mean energy in units $10^{33} \, {\rm J}$ across 2128–2848 MHz rest frame.