Table 3.
Coefficients of the PMKZ relations inferred for the simulated scenarios A and B by an HM using the 3D GM prior and two 1D parallax priors (the log-normal prior used in Paper I and the EDVD prior of Bailer-Jones 2015): slopes (c and k), zero-point (b), and intrinsic dispersion (w).
| Simulation | Prior | c | k | b | w |
|---|---|---|---|---|---|
| (mag dex−1) | (mag dex−1) | (mag) | (mag) | ||
| 3D GM |  |
 |
 |
 |
|
| −2.51 | 0.15 | −0.94 | 0.03 | ||
| A | EDVD |  |
 |
 |
 |
| −2.48 | 0.15 | −0.92 | 0.03 | ||
| Log-normal |  |
 |
 |
 |
|
| −2.47 | 0.15 | −0.94 | 0.03 | ||
| 3D GM |  |
 |
 |
 |
|
| −2.03 | 0.22 | −0.71 | 0.21 | ||
| B | EDVD |  |
 |
 |
 |
| −1.32 | 0.12 | −0.62 | 0.17 | ||
| Log-normal |  |
 |
 |
 |
|
| −0.87 | 0.10 | −0.50 | 0.25 | ||
Notes. The posterior distribution of each coefficient is summarised as in Table 2.
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