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We describe an implementation of the relative binning technique to speed upparameter estimation of gravitational-wave signals. We first give a pedagogicaloverview of relative binning, discussing also the expressions for thelikelihood marginalized over phase and distance. Then, we describe the detailsof the code in \texttt{Bilby}, an open-source software package commonly usedfor parameter estimation of gravitational-wave sources. Our code is able toreproduce the parameters of GW170817 in 14 hours on a single-core CPU, performswell on simulated signals, and passes the percentile-percentile (p-p) tests. Wealso illustrate that relative binning is an ideal technique to estimate theparameters of signals in next-generation gravitational wave detectors.

Accelerated parameter estimation in Bilby with relative binning