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Table 4

Best-fit values for the hyperparameters of the covariance function in Eq. (1), derived from a GP analysis of the S activity index time-series using 100 random walkers.

Hyperparameter Value Prior

λ [days] 30.9 ± 4.9 (0, +)
w 0.099 ± 0.011 (0, +)
θ [days] 29.2 ± 0.19 (25, 50)

Notes. They are calculated as medians of the marginal posterior distributions, and the uncertainties represent their 16% and 84% quantiles. The priors used in our MCMC fitting are also shown. The symbol (·,·) denotes an uninformative prior with corresponding lower and upper limits.

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