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Christopher Berry edited component masses.tex
almost 9 years ago
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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}.\footnote{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 above and below by the 1D $5^\mathrm{th}$ and $95^\mathrm{th}$ percentiles,
respectively.}. respectively.} 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 figure \ref{fig:comp_masses}. It is evident that overly conservative prior assumptions about NS spin ($\chi < 1$) will \emph{strongly} affect uncertainties in mass estimates.