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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

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

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

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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