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Table 3.
Median values and 68% credible interval of the posterior probability distribution of the hyper-parameters describing the distribution in stellar mass, half-light radius, and halo mass of the galaxies in our sample, as inferred by fitting the model introduced in Sect. 4.1.
| Sérsic model | SerExp model | de Vauc. model | Parameter description | |
|---|---|---|---|---|
| μh, 0 | 12.79 ± 0.03 | 12.83 ± 0.03 | 12.91 ± 0.03 | Average log Mh at stellar mass log M* = 11.4 and average size |
| σh | 0.35 ± 0.03 | 0.32 ± 0.03 | 0.37 ± 0.04 | Dispersion in log Mh around the average |
| βh | 1.70 ± 0.10 | 1.73 ± 0.11 | 2.04 ± 0.15 | Power-law dependence of halo mass on M* at fixed size |
| ξh | −0.14 ± 0.17 | −0.03 ± 0.21 | 0.00 ± 0.25 | Power-law dependence of halo mass on excess size at fixed M* |
| μR, 0 | 0.854 ± 0.002 | 0.852 ± 0.002 | 0.775 ± 0.002 | Average log Re at stellar mass log M* = 11.4 |
| σR | 0.140 ± 0.002 | 0.124 ± 0.002 | 0.108 ± 0.001 | Dispersion in log Re around the average |
| βR | 1.390 ± 0.012 | 1.239 ± 0.011 | 1.004 ± 0.011 | Power-law dependence of size on M* |
| μ* | 11.246 ± 0.004 | 11.271 ± 0.004 | 11.249 ± 0.005 | Mean-like parameter of Gaussian term in Eq. (5) |
| σ* | 0.286 ± 0.004 | 0.256 ± 0.004 | 0.203 ± 0.004 | Dispersion-like parameter of Gaussian term in Eq. (5) |
| logs* | 0.47 ± 0.02 | 0.34 ± 0.02 | 0.20 ± 0.03 | Log of the skewness parameter in Eq. (6) |
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