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Table 4
Same as in Table 1 but now including models that combine a sinusoid with a stochastic process.
Model | Number of | No decisive | No decisive | No decisive | No decisive | Max |
Model parameters | evidence against | evidence against | evidence against | evidence against | evidence | |
it at 3σ | it at 5σ | it at 7σ | it at 10σ | |||
|
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Constant | 1 | 0 | 0 | 0 | 0 | 0 |
Constant plus noise | 2 | 58 | 63 | 73 | 97 | 3 |
Sinusoid (flat prior in P) | 4 | 30 | 36 | 47 | 62 | 2 |
Sinusoid (flat prior in log P) | 4 | 20 | 23 | 28 | 39 | 2 |
Sinusoid (periodogram prior) | 4 | 26 | 31 | 38 | 50 | 4 |
Two sinusoids (flat priors in P) | 7 | 33 | 37 | 48 | 62 | 8 |
Sinusoid (flat prior in P) plus noise | 5 | 467 | 584 | 722 | 940 | 146 |
|
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Wiener process (random walk) | 2 | 2251 | 2869 | 3438 | 4225 | 6 |
OU process (damped random walk) | 3 | 6033 | 6082 | 6109 | 6139 | 3462 |
Gaussian CAR(2) process (φ1 = φ2 = 0.1) | 2 | 0 | 0 | 0 | 1 | 0 |
Gaussian CAR(2) process (τ1 = τ2) | 3 | 1 | 2 | 2 | 3 | 0 |
Gaussian CAR(2) process (τ1 ≠ τ2) | 4 | 5 | 5 | 5 | 5 | 5 |
Cauchy CAR(1) process (φ = 1) | 2 | 77 | 102 | 154 | 336 | 36 |
Symmetric stable CAR(1) process (φ = 1, β = 0) | 3 | 0 | 0 | 0 | 0 | 0 |
Stable CAR(1) process (φ = 1) | 4 | 0 | 0 | 0 | 0 | 0 |
Gaussian CARMA(1,1) process | 4 | 0 | 0 | 0 | 0 | 0 |
Constant + Gaussian ARCH(1) process | 3 | 236 | 282 | 321 | 379 | 64 |
Sinusoid + Gaussian ARCH(1) process | 6 | 902 | 1212 | 1549 | 2138 | 155 |
Gaussian CAR(1)-ARCH(1) process | 4 | 2005 | 2427 | 2884 | 3492 | 199 |
Gaussian CAR(1)-GARCH(1,1) process | 5 | 3669 | 4140 | 4527 | 4948 | 450 |
Gaussian CARMA(1,1)-GARCH(1,1) process | 6 | 1575 | 2131 | 2799 | 3723 | 49 |
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Sinusoid (flat prior in P) + Wiener process | 5 | 11 | 12 | 12 | 12 | 7 |
Sinusoid (flat prior in P) + OU process | 6 | 6028 | 6070 | 6105 | 6144 | 1706 |
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