Interpreting the distributions of FRB observables

Fast radio bursts (FRBs) are short-duration radio transients of unknown origin. Thus far, they have been blindly detected at millisecond time-scales with dispersion measures (DMs) between 110 and 2600 pc cm−3. However, the observed pulse width, DM, and even brightness distributions depend strongly on the time and frequency resolution of the detection instrument. Spectral and temporal resolution also significantly affect FRB detection rates, similar to beam size and system-equivalent flux density. I discuss the interplay between underlying FRB properties and instrumental response, and provide a generic formalism for calculating the observed distributions of parameters given an intrinsic FRB distribution, focusing on pulse width and DM. I argue that if there exist many FRBs of duration