Reconstructed parent distribution of Γ of a simulated sample using the parametric fitting approach in blue (see Sect. 4.1), with the filled area showing the 1σ credible interval. The true distribution is shown as the orange histogram, and the results using medians and stacked PDF are shown with dashed green (hatched) and magenta lines. The distribution of ML values is shown with a dash-dotted red line, and the dotted black line is the prior applied to Γ during the spectral fitting step. All distributions are normalized to unit area.