Comparison of cumulative distributions of |L_Z| and orbital eccentricity for prograde (blue) and retrograde (orange) sub-samples of the stars with |L_Z|> 500 km s⁻¹ kpc and Z_max < 3.0 kpc. The comparisons are performed separately for MP (834 stars, left column of panels) and VMP stars (193 stars, right column of panels). In the upper left corner of each panel, we report the probability that the prograde and retrograde samples are drawn from the same parent distribution in the considered quantity, according to a Kolmogorov–Smirnov test.