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Table 5.
Summary statistics corresponding to the sensitivity analysis performed to the HM with joint 3D GM prior presented in this paper: slopes (c and k), zero-point (b), intrinsic dispersion (w), and global parallax offset (ϖ0).
| Prior | c | k | b | w | ϖ0 |
|---|---|---|---|---|---|
| (mag dex−1) | (mag dex−1) | (mag) | (mag) | (mas) | |
| π(c) = π(k) = Cauchy (0,σ=2.5) |  |
 |
 |
 |
 |
| −2.22 | +0.24 | −0.83 | 0.15 | +0.015 | |
| π(w) = Exp (λ = 0.1) |  |
 |
 |
 |
 |
| −2.06 | +0.26 | −0.74 | 0.15 | +0.008 | |
| π(w) = Exp (λ = 1) |  |
 |
 |
 |
 |
| −2.26 | +0.23 | −0.85 | 0.12 | +0.013 | |
| π(w) = Exp (λ = 10) |  |
 |
 |
 |
 |
| −2.13 | +0.23 | −0.69 | 0.12 | +0.016 | |
π(μk) with  |
 |
 |
 |
 |
 |
| −2.08 | +0.20 | −0.78 | 0.15 | −0.008 | |
π(μk) with  |
 |
 |
 |
 |
 |
| −1.58 | +0.16 | −0.64 | 0.17 | −0.021 | |
Notes. The posterior distribution of each coefficient is summarised as in Table 2.
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