Output distributions of the estimates starting from a distribution of 10 000 simulated independent true values (p_0,i) centred on 10% of polarization fraction (grey shaded region) shown at three levels of noise characterized by the mean S/N ⟨ p_0,i ⟩ /σ_p,G = 1,2, and 3 (top, middle, and bottom, respectively). The naïve (black) and MAS (orange) output distributions are compared to the MB output distributions obtained with three different priors: flat prior between 0 and 1 (solid pink), to the naïve output distribution (dotted pink), and to the true input distribution (dashed pink).