Table 4.
Median values and 68% credible interval of the posterior probability distribution of the hyper-parameters describing the distribution in stellar mass, half-light radius, Sérsic index, and halo mass of the galaxies in our sample, as inferred by fitting the model introduced in Sect. 4.2 to the Sérsic profile-based measurements.
| Parameter description | ||
|---|---|---|
| μh, 0 | 12.78 ± 0.03 | Average log Mh at stellar mass log M* = 11.4 and average size |
| σh | 0.37 ± 0.03 | Dispersion in log Mh around the average |
| βh | 1.69 ± 0.10 | Power-law dependence of halo mass on M* at fixed Sérsic index and size |
| νh | −0.11 ± 0.14 | Power-law dependence of halo mass on excess Sérsic index at fixed M* |
| ξh | −0.10 ± 0.19 | Power-law dependence of halo mass on excess size at fixed M* and n |
| μR, 0 | 0.817 ± 0.002 | Average log Re at stellar mass log M* = 11.4 and Sérsic index n = 4 |
| σR | 0.128 ± 0.002 | Dispersion in log Re around the average |
| βR | 1.214 ± 0.012 | Power-law dependence of size on M* |
| νR | 0.369 ± 0.011 | Power-law dependence of size on n |
| μn | 0.704 ± 0.002 | Average log n at stellar mass log M* = 11.4 |
| σn | 0.162 ± 0.001 | Dispersion in log n around the average |
| βn | 0.467 ± 0.010 | Power-law dependence of Sérsic index on M* |
| μ* | 11.246 ± 0.004 | Mean-like parameter of Gaussian term in Eq. (5) |
| σ* | 0.286 ± 0.004 | Dispersion-like parameter of Gaussian term in Eq. (5) |
| logs* | 0.46 ± 0.02 | Log of the skewness parameter in Eq. (6) |
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