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Fig. 1

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Bivariate probability distribution function of bulge masses and black hole masses with no selection effects. The contours indicate decreasing probability in logarithmic units. The thick black line shows the input M-MBulgerelation from Häring & Rix (2004). The red dot-dashed line shows the mean galaxy property at a given black hole mass. The upper panel shows the projection of the bivariate distribution function to the bulge mass, i.e. the spheroid mass function. The right panel shows the projection to black hole mass, i.e. the quiescent black hole mass function.

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