Table 4
Model parameterizations.
Notation | M 0 | M 1 | Prior | Marginalization | Notes | |
|
||||||
Planet-star flux ratio | θ f | X | Jeffreys’ | MC | Likelihood dominated | |
Planet-star radius ratio | θ k | X | Uniform | MC | Prior dominated | |
Period | θ p | X | Uniform | MC | Prior dominated | |
Scaled semi-major axis | θ a | X | Uniform | MC | Prior dominated | |
Eccentricity | θ e | X | Uniform | MC | Likelihood dominated | |
Argument of periastron | θ ω | X | Uniform | MC | Likelihood dominated | |
Inclination | θ i | X | Uniform | MC | Prior dominated | |
Contaminationa | θ c | X | Uniform | MC | Prior dominated | |
Zeropoint | θ f0 | X | X | Uniform | LA | |
Long cadence error | θ σl | X | X | Jeffreys’ | LA | |
Short cadence error | θ σs | X | X | Jeffreys’ | LA | |
Eclipse duration | D e | X | X | Uniform | MC | Derived from θe and θω |
Eclipse center timeb | T e | X | X | Uniform | MC | Derived from θe and θω |
Notes. Total number of parameters depends on whether the light curves include both time cadences. The third and fourth columns list whether the parameter is included in M0 and M1 models, respectively. The prior column lists the type of the prior used for the parameter. Marginalization lists the method used to compute the likelihood, MC stands for Monte Carlo sampling and LA for Laplace approximation. The effects from the zeropoint correction are small, but are still included for thoroughness.
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