Table C.1
Best-fit parameters of candidate v1 probability density functions defined by Equations C.1 and C.2, along with the Bayes factors K and the goodness differences Δ Λ.
| N | γ1 (km s−1) | α1 | γ2 (km s−1) | α2 | γ3 (km s−1) | α3 | γ4 (km s−1) | α4 | ln K | Δ Λ |
|---|---|---|---|---|---|---|---|---|---|---|
| Cauchy series (Eq. C.1) | ||||||||||
| 1 | 51.2 | 100% | − | − | − | − | − | − | 0 | 0 |
| 2 | 51.2 | 99.7% | 52.8 | 0.3% | − | − | − | − | 0 | −2 |
| Gaussian series (Eq. C.2) | ||||||||||
| 1 | 68.3 | 100% | − | − | − | − | − | − | ![]() |
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| 2 | 44.4 | 50.7% | 123.9 | 49.8% | − | − | − | − | ![]() |
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| 3 | 43.1 | 46.3% | 107.6 | 47.7% | 406.1 | 6.0% | − | − | 0.6(2) | −3.4(2) |
| 4 | 43.1 | 46.3% | 107.3 | 47.6% | 371.6 | 5.4% | 776.1 | 0.7% | 0.6(2) | −5.4(2) |
Notes. (1) Δ Λ is calculated with the best-fit Cauchy distribution (N=1 and γ1=51.2 km s−1) as the reference of comparison. (2) Despite our exhaustive efforts, the best-fit two-component Cauchy distribution closely approaches the one-component Cauchy distribution, as the scales of the two components are nearly identical.
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