Comparison between the SMF of COSMOS2015 galaxies and Grazian et al. (2015), in two redshift bins between z = 3.5 and 5.5 (as indicated in the panels). Our 1 /V_max estimates and the fit to those points are shown with black filled circles and solid lines (green squares and dashed lines show the same quantities for Grazian et al. 2015). Grey filled circles are the SMF estimates we obtain using the f_obs weights (see Sect. 5). In both z-bins, the 1σ uncertainty of the COSMOS2015 Schechter function is encompassed in a shaded area.