Table 2
Marginal likelihood estimations and Bayes factors for various RV datasets and models.
Dataset | NRV | Model | ln model evidencea | Bayes factor: 2 to 1 planetsb |
---|---|---|---|---|
D | ![]() |
![]() |
![]() |
|
HARPS | 106 | 1 planet + GP | −338.5 | – |
– | – | 2 planets + GP | −325.5 | 3 × 105 |
CARMENES | 58 | 1 planet + GP | −180.6 | – |
– | – | 2 planets + GP | −178.1 | 7 |
reduced CARMENES | 55 | 1 planet + GP | −169.5 | – |
– | – | 2 planets + GP | −164.1 | 143 |
HARPS + reduced CARMENES | 161 | 1 planet + GP | −489.6 | – |
– | – | 2 planets + GP | −475.8 | 6 × 105 |
blue HARPS | 106 | 1 planet + GP | −375.5 | – |
– | – | 2 planets + GP | −369.2 | 336 |
red HARPS | 106 | 1 planet + GP | −375.5 | – |
– | – | 2 planets + GP | −359.4 | 6 × 106 |
blue CARMENES | 55 | 1 planet + GP | −186.8 | – |
– | – | 2 planets + GP | −183.0 | 28 |
red CARMENES | 55 | 1 planet + GP | −174.0 | – |
– | – | 2 planets + GP | −159.1 | 2 × 106 |
HARPS (Feb–Jun 2017) | 35 | 1 planet + GP | −121.0 | – |
– | – | 2 planets + GP | −113.6 | 1018 |
CARMENES (Feb–Jun 2017) | 49 | 1 planet + GP | −151.7 | – |
– | – | 2 planets + GP | −146.0 | 181 |
HARPS + CARMENES (Feb–Jun 2017) | 84 | 1 planet + GP | −256.5 | – |
– | – | 2 planets + GP | −249.6 | 613 |
Notes. (a) Estimates of the model evidence arecalculated using the Perrakis et al. (2014) estimator and the marginalized posterior probability density functions from our MCMC runs. (b) Bayes factors, or evidence ratios, are written as , where each model prior is
for
such that
.
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