Image Details
Caption: Figure 4.
Posterior predictive check comparing the observed primary mass distribution as predicted from our models (thin colored curves; each curve corresponds to a draw from the hyperparameter posterior) with the empirical distribution from the 11 GWTC-1 events (black; each point corresponds to a draw from the population-informed single-event posterior). The solid colored line in each panel corresponds to the posterior average (mean) of the predicted distributions, while the two dashed colored lines denote the symmetric 90% interval around the predicted curves. The model is a good fit to the data if the empirical distribution (black) is contained within the range of model predictions (colored). The top panel shows that the POWER-LAW model has trouble accounting for GW170817, while the other models account for all 11 events.
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