[x] Add the reference to the latest R&P paper where we claim 1k detections / yr.
[x] Explain that our choice of smooth taper is conservative exactly for the reason you suspected: current sims suggest that the transition is much more sharp, and that will improve our constraints on H(z).
[x] Try to quantify the 1/4 a bit more; it is, indeed, based on the fraction of systems that we would find within ~1 sigma of the PISN cutoff mass scale.
[x] Add an appendix that describes briefly the technical implementation of our hierarchical analysis and measurement model.
[x] Note that the hierarchical model does properly account for the bias that one would obtain from using the max-likelihood parameters.
[x] Clarify that we mean one month of observation with 3G, not one month of analysis (agree about the difficulty of on-line analyzing 15k BBH mergers and putting them into a hierarchical model.
Issues mentioned by Jon Gair:
[x] Add the reference to the latest R&P paper where we claim 1k detections / yr.
[x] Explain that our choice of smooth taper is conservative exactly for the reason you suspected: current sims suggest that the transition is much more sharp, and that will improve our constraints on H(z).
[x] Try to quantify the 1/4 a bit more; it is, indeed, based on the fraction of systems that we would find within ~1 sigma of the PISN cutoff mass scale.
[x] Add an appendix that describes briefly the technical implementation of our hierarchical analysis and measurement model.
[x] Note that the hierarchical model does properly account for the bias that one would obtain from using the max-likelihood parameters.
[x] Clarify that we mean one month of observation with 3G, not one month of analysis (agree about the difficulty of on-line analyzing 15k BBH mergers and putting them into a hierarchical model.
[x] Fix those formatting errors.