Probability density functions, f2D(p,ψ | p0,ψ0,Σp), with infinite S/N on intensity, computed for a given set of polarization parameters, namely ψ0 = 0° and p0 = 0.1 (dashed lines). Each row corresponds to a specific level of the S/N p0/σp,G = 0.01,0.5,1, and 5, from top to bottom. Various configurations of the covariance matrix are shown (in the different columns). Furthest left is the standard case: no ellipticity and no correlation. The next two columns show the impact of ellipticities ε = 1 / 2 and 2. The last two columns deal with correlations ρ = −1 / 2 and + 1 / 2. White crosses indicate the mean likelihood estimates of the PDF (). The contour levels are shown at 0.1, 1, 5, 10, 20, 50, 70, and 90% of the maximum of the distribution.
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