this is for holding javascript data
Christopher Berry Going back to parenthetical ref to fig 6.
almost 9 years ago
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The fractional uncertainties for both the chirp mass and the mass ratio both decrease as S/N increases as shown in \ref{fig:Mc_q_std_snr}, which also shows results from the non-spinning analysis. As expected from Fisher Matrix studies \citep[e.g.,]{FinnChernoff}, all except the $\sigma_q/\langle q\rangle$ from the spinning analysis appear to be inversely proportional to the S/N: this is better fit as $\propto \rho^{-1/2}$. The mass-ratio uncertainty from the spinning analysis does not improve as rapidly with increasing S/N as a consequence of the mass--spin degeneracy.
Projecting the tightly constrained chirp mass and poorly constrained mass ratio $90\%$ credible region from $\mathcal{M}_\mathrm{c}$--$q$ space into component-mass space makes it obvious how important mass-ratio uncertainties are for extracting astrophyical information. The credible regions in component-mass space are narrow bananas that lie along lines of constant chirp mass, bounded by the constraints on mass
ratio; ratio (see Figure \ref{fig:comp_masses}
shows for some examples
posteriors. posteriors).