Marginal posterior distributions of the pressure P conditional on energy density ε, ﹩p(P| \varepsilon ,{\boldsymbol{d}},{ \mathcal M })﹩, for the PP model (left) and the CS model (right), and for both the preferred ST+PST model (upper panels) and the alternative ST+CST model (lower panels). At each value of ε, there exist 68% and 95% posterior credible intervals for the pressure P; we connect these intervals to form the shaded bands. The black dotted and dashed lines, respectively, indicate the joined 68% and 95% credible interval bands, but for the conditional and marginal prior distribution, ﹩p(P| \varepsilon ,{ \mathcal M })﹩. The red contours in each panel indicate the 68% and 95% highest-density posterior credible regions of central energy density and central pressure. Constraints on the EoS for densities higher than these contours are only determined by our choice of parameterization and are not directly informed by the mass–radius likelihood function (and thus in turn, the data). The lower-right inset panels illustrate the evolution of the Kullback–Leibler (KL) divergence with respect to the energy density, showing that most posterior information is gained for densities below 1015 g cm−3, not coincidentally the highest possible central density reached in PSR J0030+0451. Note that due to finite sampling noise the precise features of the evolution of the KL divergence might be disputed, but the global trend of the curve is unaffected.