Comparison of our bivariate probability distribution Ψ_o(s,μ) (contours), assuming reasonable numbers for the selection function, with observational data of low-redshift AGN. The thick black line shows the mean relation  ⟨ μ ⟩ (s), the red dashed dotted line shows  ⟨ s ⟩ (μ), the black dashed line gives the true relation. The dotted lines shows the mean relation  ⟨ μ ⟩ (s) including measurement uncertainties in s of 0.05 dex for σ_∗ and 0.1 dex for L_V. Left panel: M_•-σ_∗ relation. We show stellar velocity dispersion measurements for the reverberation mapping sample (blue circles, Woo et al. 2010), and a local SDSS sample (green stars, Greene & Ho 2006). Right panel: M_• − L_V relation for the reverberation mapping sample (blue circles, Bentz et al. 2009b) and a local QSO host galaxy sample (green triangles, Kim et al. 2008).