Top left panel: predicted distributions of the Eddington ratio λ in the IT (solid black line) and DI (solid red line) scenarios for AGN with bolometric luminosity L_AGN< 10⁴⁶ erg s^-1 at z ≤ 0.5. They are compared with different sets of data (see text for details): a sample of X-ray-selected AGN (dashed violet histogram), of IR-selected (dashed histogram) and Radio selected AGN (dotted histogram) from Hickox et al. (2009), and the sub-sample of X-ray and IR AGN from Kollmeier et al. (2006, dark green histogram) corresponding to z ≤ 0.5. Top right panel: as above, but for luminous AGN with L_AGN> 10⁴⁶ erg s^-1 at z ≤ 1.2. The dashed histogram represents observational results from Kollmeier et al. (2006). Bottom left panel: as above, but for AGN with BH masses in the range 10⁷ M_⊙ ≤ M_BH ≤ 0⁸ M_⊙. Here we compare with data from Kauffmann & Heckman (2009, histogram). Bottom right panel: fraction of AGN with high Eddington ratios λ ≥ 0.5 as a function of the AGN bolometric luminosity L_AGN, at z = 2. As above, the solid black line corresponds to the IT mode and the solid red line to the DI case. The points are computed from the data by Rosario et al. (2013a,b) shown in Fig. 7.