Results of the fitting to find the distribution of η_rad. The top (middle) row shows those obtained using the distance uncertainty distributed as P(Δ) = 𝒩, with a Gaussian (skew normal) as the trial distribution. The bottom row were obtained with the distance uncertainty distributed as P(ϵ_d) = 𝒩, with a Gaussian as the trial distribution. From left to right: contour plot of D_KS in the space of parameters μ_rad − σ_rad (in the skew normal case we collapsed all the contours for the different α considered taking the smallest D_KS for each pair μ_rad − σ_rad), best-fitting distribution of log₁₀η_rad, overlapped distribution of log₁₀η_obs (red), and joint distribution (blue).