Cumulative source counts distribution of the number of detected FRBs greater than a limiting minimum detectable peak flux density, or log N–log S plot. The resulting plots for three populations are shown here, with popA(zmax, Lbol, γ) = (0.01, 1038, 0), popB(zmax, Lbol, γ) = (2.5, 1042.5, −1.4), and popC(zmax, Lbol, γ) = (2.5, 1043, 1). Although all three populations probe very different parts of the universe, it is clear that they exhibit very similar detection parameters at high fluxes. This figure is therefore used as an illustrative example of the danger of trying to interpret the underlying intrinsic FRB population from a single log N–log S plot.
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