Reconstructed PDF of the mock VIPERS galaxies measured in cells of R = 4h^-1 Mpc (top) and R = 8h^-1 Mpc  (bottom). The blue solid curve represents the reference galaxy PDF obtained by averaging over the PDFs reconstructed from the Parent mocks using the Γ_E method. The blue dashed curve shows the average PDF reconstructed from the Realistic mocks using the same method. The blue shaded region represents the 1σ scatter among the 26 Realistic mocks. We plot P(1 + δ_g)(1 + δ_g) to highlight the performance of the reconstruction at high and low over-densities. We note the different Y-ranges in the two panels. The bottom panels in each plot show the difference Δ_p between the reconstructed and reference PDFs in units of the random error σ_p. Horizontal, dashed lines indicate systematic errors equal to 1σ_p random uncertainties.