Distributions of CDF values H(v_True), calculated from the true v_los of the stars and the PDFs of our method, for each star in our Gaia RVS sample. If all assumptions and the PDFs are correct, these values should be distributed uniformly. We plot the total distribution of all stars and the distributions of the Disc and Halo stars (with CDF values corresponding to their respective PDFs). The total statistical error Δ_% of our PDFs can be estimated by integrating the difference between the found and true uniform distribution.