Mosaic of $P(\theta |\overline{L})$ plots for SN 1987A. The color density maps show 2D slices of the log-posterior distribution with σ fixed, while two modeling parameters vary at a time. The diagonal panels display the posterior PDFs along each parameter axis, keeping the other parameters fixed at their best-fit values. The lower row shows the cumulative distribution function (CDF) for each parameter axis (solid line), compared to the CDF integrated on the entire space (dotted line).