Comparison of the relative Bias_ψ (left) and Risk_ψ (right) quantities of the four estimators: naïve (black), ML (blue), MP2 (green), and MB (pink) plotted as a function of the true polarization angle ψ₀ and computed at four S/Ns of p₀/σ_p,G = 0.5, 1, 2, and 5. The covariance matrix is set to ε = 2 and ρ = 0 (ε_eff = 2). 1000 Monte Carlo realizations are performed for each set of the polarization angle and the S/N.