Posterior probability distribution of the parameters describing the distribution of halo mass for the model introduced in Sect. 4.1. In particular, μ_h, 0 is the average log M_h at a stellar mass log M_* = 11.4 and average size for that mass, σ_h is the dispersion in log M_h around the average, β_h is a power-law scaling of halo mass with stellar mass, and ξ_h is a power-law scaling of halo mass with excess size (defined as the ratio between the size of a galaxy and the average size of galaxies of the same stellar mass).