deletions | additions       diff --git a/component_masses.tex b/component_masses.tex  index d1f0eab..4793fc1 100644  --- a/component_masses.tex  +++ b/component_masses.tex 
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Figure \ref{fig:comp_masses} compares cartoon $90\%$ credible regions in component-mass space of $5$ chosen simulated signals \citep[cf.][figure 1]{Chatziioannou_2014}.\footnote{As 1]{Chatziioannou_2014}. As  a consequence of the difficulty of estimating the narrow and nonlinearly correlated credible regions in $m_1$--$m_2$ space, we illustrate the credible regions in $m_1$--$m_2$ space as the projection of a rectangular region in $\mathcal{M}_\mathrm{c}$--$q$ space, bounded in chirp-mass by space. To define the rectangular region we use the $90\%$ credible intervals of the 1-D posterior estimates of $\mathcal{M}_\mathrm{c}$ and $q$;  the central $90\%$ credible interval ($5$th to $95$th percentile) for $\mathcal{M}_\mathrm{c}$,  andin mass-ratio by the  upper $90\%$ credible interval ($10$th to $100$th percentile). We choose the upper $90\%$ credible interval percentile)  for mass-ratio as it is a $q$. Different credible intervals were chosen to  better summary of typical mass-ratio summarize the 1-D  posterior estimates, distributions,  which are typically normal for $\mathcal{M}_\mathrm{c}$ and  skewed towards higher toward high  values(see figure \ref{fig:mass_pdfs}).} If the analyses used a prior distribution for spin matching the simulated population ($\chi < 0.05$), we would expect the masses of the simulated sources to fall within the estimated $90\%$ credible regions  for close to $90\%$ of simulations. For the broad spin prior used ($\chi < 1$) however, this will not be the case. For this reason, several of the simulated sources lie outside of the $90\%$ credible regions in $q$ (see  figure \ref{fig:comp_masses}. It is evident that overly conservative prior assumptions about NS spin ($\chi < 1$) will \textit{strongly} affect uncertainties in mass estimates. \ref{fig:mass_pdfs}).