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The Parkes, ASKAP, CHIME and UTMOST telescopes, which have all detected FRBs,each works at a different frequency and has a different detection criteria.Using simulations, we have combined the constraints from all four telescopes toidentify an allowed range of model parameters $(\alpha, \E33)$ for the FRBsource population. Here $\alpha$ is the spectral index and $\E33$ is the meanFRB energy in units of $10^{33} \, {\rm J}$ across a $2128 - 2848\; {\rm MHz}$band in the FRB rest frame. We have considered several different FRB energydistributions, and also different scenarios for the scattering pulsebroadening, the event rate density variation with $z$ and the host dispersionmeasure. We find that in all cases, the common allowed region includes therange $-3.9\leq\alpha\leq-1.3$ and $0.42\leq\E33\leq1$. In all case, largevalues $\alpha > 4$ and $\E33 >60$ are ruled out. Considering the allowed$(\alpha, \E33)$ parameter range, we predict that CHIME is unlikely to detectan FRB with extra-galactic dispersion measure $(DM_{Ex})$ exceeding $3700\,{\rmpc\,cm}^{-3}$. A substantially larger $DM_{Ex}$ in the large FRB sampleanticipated from CHIME would falsify the assumptions of the present analysis.Our analysis is expected to yield tighter parameter constraints with the adventof more FRB data.

monthly notices of the royal astronomical society

Constraining the Fast Radio Burst (FRB) properties using the joint  distributions of dispersion measure and fluence of the events detected at  Parkes, ASKAP, CHIME and UTMOST