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Estimating the source parameters of gravitational waves from compact binarycoalescence(CBC) is a key analysis task in gravitational-wave astronomy. Todeal with the increasing detection rate of CBC signals, optimizing theparameter estimation analysis is crucial. The analysis typically employs astochastic sampling technique such as Markov Chain Monte Carlo(MCMC), where thesource parameter space is explored and regions of high Bayesian posteriorprobability density are found. One of the bottlenecks slowing down the analysisis the non-trivial correlation between masses and spins of colliding objects,which makes the exploration of mass$\unicode{x2013}$spin space extremelyinefficient. We introduce a new set of mass$\unicode{x2013}$spin samplingparameters which makes the posterior distribution to be simple in the newparameter space, regardless of the true values of the parameters. The newparameter combinations are obtained as the principal components of the Fishermatrix for the restricted 1.5 post-Newtonian waveform. Our re-parameterizationimproves the efficiency of MCMC by a factor of $\sim10$ for binary neutron starwith narrow-spin prior ($|\vec{\chi}|<0.05$) and $\sim100$ with broad-spinprior ($|\vec{\chi}|<0.99$), under the assumption that the binary has spinsaligned with its orbital angular momentum.

Mass$\unicode{x2013}$spin Re-Parameterization for Rapid Parameter Estimation of Inspiral Gravitational-Wave Signals