Conditional probability distributions for Eddington ratio at M _BH = 5 × 10 ⁸  M _☉ (cyan region) and M _BH = 5 × 10 ⁹  M _☉ (diagonal black line-filled region); both regions contain 68% of the posterior probability in p(log  L/ L _Edd| M _BH) as a function of M _BH. The solid blue vertical line marks the incompleteness limit in L/ L _Edd for M _BH = 5 × 10 ⁸  M _☉, while the vertical dashed black line marks the limit for M _BH = 5 × 10 ⁹  M _☉. Note that for M _BH = 5 × 10 ⁹  M _☉ the limit occurs below log  L/ L _Edd = −1.5 at z ≲ 1.6.