Reconstruction of the absorbed AGN fraction versus redshift (top row) and L_X (bottom row) for different subsamples of the simulation. The black line represents the true absorbed fraction relation in each redshift or L_X bin, and the reconstructed one obtained by applying our method is plotted with red dots and vertical error bars showing the 68.3% credible intervals. The results of using stacked PDF and medians are shown in yellow and green, respectively. The gray histogram represents the L_X or redshift distributions of the simulated sample.