A universal EDF for repeating fast radio bursts?

We make three assumptions: fast radio bursts (FRBs) are produced by neutron stars at cosmological distances; FRB rate tracks the core-collapse supernova rate; and all FRBs repeat with a universal energy distribution function (EDF) ddot{N}/dE ∝ E^{-β } with a cutoff at burst energy E_max. We then find that observations so far are consistent with a universal EDF with 1.5 ≲ β ≲ 2.2, high-end cutoff E_max/E₀ ≳ 30 and normalization dot{N}_0 ≲ 2 d^{-1}; where dot{N}_0 is the integrated rate above the reference energy E_0 ∼eq 1.2× 10^{39} f_r^{-1} erg (f_r is the radio emission efficiency). Implications of such an EDF are discussed.