Open Access
Table B.1
Table of the main notations used in the paper.
| Z, z | Z : Scalar random variable, z : one realization of Z |
| z | Vector [z1,…, zN]⊤ |
| ℋ0, ℋ1 | Null and alternative hypotheses |
| x | Time series under test |
| s | RV planet signal under ℋ1 |
| n | Stochastic colored noise of covariance matrix Σ |
| w | White Gaussian noise of variance  |
| d | Nuisance signal |
| N | Number of data points |
 |
Null training sample |
| L | Number of time series available in the NTS |
| c | Ancillary time series that can be used to model d |
| ℳs(θs) | Model of s depending on parameters vector θs |
| ℳn(θn) | Model of n depending on parameters vector θn |
| ℳd(θd) | Model of d depending on parameters vector θd |
 |
Estimate of parameter vector θ, and perturbation interval of this parameter |
| π | Parameters’ prior distribution for  with scale parameter  |
| vk | Frequencies |
| Ω | Indices set of considered frequencies |
| p | Periodogram |
 |
Periodogram averaged with L training datasets |
 |
Periodogram standardized by  |
| TM | Test of the highest periodogram value (Max test) |
| TC | Test of the highest periodogram value |
| (P, T) | Couple {periodogram, test} |
| ΦT | CDF of the considered test statistic T |
| t | Test statistic |
| {B, b} | Number of Monte Carlo simulations in algorithm 2 |
| pv | p-value |
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