Christopher P L Berry --  over 8 years ago

Commit id: cda71bc3527987e05a8ccc53ef06559269b45240

deletions | additions      

       

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 a consequence of the difficulty of estimating the narrow and nonlinearly correlated credible regions in $m_1$-–$m_2$ $m_1$--$m_2$  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.} 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.