Posterior on the model parameters related to accretion when fitting for the LF and the GW background. We show the slope of the power-law distribution γ_burst and the duration t_burst of burst accretion; the mean and standard deviation of the log-normal distribution of steady accretion rates, μ_steady and σ_steady; the redshift z_cut below which accretion is shut off for heavier MBHs; the slope of the increase of the shut-off mass, m_cut, 0 at z = 0, with redshift, α_cut.