Joint and marginal posterior distributions for the population-averaged pressure parameters lgP_k (top panel) and intrinsic scatters σ_int, k (bottom panel) at the five radii (interpolation knots). Dashed blue lines represent the median values. In the diagonal panels, vertical dotted blue lines indicate the 68% uncertainty interval, while dashed black lines represent the adopted prior. All parameters show little correlation, due to our choice of the radial profile modelization and the knots spacing. Prior distributions have a negligible impact on the posterior distributions.