Table 2
Artificial (first column) and retrieved (subsequent columns) signals (their MAP parameter estimates) in terms of parameters K, P, and e using a model without any of the AR or MA components (0) and with selected AR or MA models for each data set.
| Signal | 0 | AR(1) | MA(1) | AR(3) | MA(3) | MA(5) | MA(7) | MA(10) |
|
|
||||||||
| K = 5 [m s-1] | 5.50 | 2.87 | 5.49 | 2.03 | 5.32 | 5.36 | 5.39 | 5.38 |
| P = 20 [days] | 19.99 | 19.99 | 19.99 | 19.99 | 20.00 | 20.00 | 20.00 | 20.00 |
| e = 0 | 0.05 | 0.06 | 0.05 | 0.00 | 0.01 | 0.03 | 0.00 | 0.02 |
|
|
||||||||
| K = 2 [m s-1] | 2.60 | 1.25 | 2.57 | 0.75 | 2.39 | 2.41 | 2.37 | 2.40 |
| P = 20 [days] | 19.98 | 19.98 | 19.98 | 19.97 | 19.99 | 20.00 | 20.00 | 20.00 |
| e = 0 | 0.08 | 0.08 | 0.07 | 0.10 | 0.08 | 0.02 | 0.05 | 0.03 |
|
|
||||||||
| K = 1 [m s-1] | 1.68 | 0.80 | 1.65 | 0.44 | 1.41 | 1.39 | 1.39 | 1.40 |
| P = 20 [days] | 19.96 | 19.97 | 19.97 | 19.96 | 19.98 | 20.00 | 20.00 | 20.01 |
| e = 0 | 0.11 | 0.06 | 0.10 | 0.01 | 0.07 | 0.07 | 0.03 | 0.03 |
|
|
||||||||
| K = 5 [m s-1] | 5.32 | 2.63 | 5.33 | 1.78 | 5.30 | 5.31 | 5.27 | 5.31 |
| P = 50 [days] | 50.08 | 50.08 | 50.07 | 50.06 | 50.05 | 50.05 | 50.04 | 50.05 |
| e = 0 | 0.07 | 0.07 | 0.07 | 0.00 | 0.05 | 0.04 | 0.00 | 0.00 |
|
|
||||||||
| K = 2 [m s-1] | 2.42 | 1.13 | 2.45 | 0.65 | 2.40 | 2.37 | 2.33 | 2.33 |
| P = 50 [days] | 50.12 | 50.13 | 50.14 | 50.17 | 50.11 | 50.09 | 50.09 | 50.11 |
| e = 0 | 0.14 | 0.13 | 0.13 | 0.03 | 0.11 | 0.08 | 0.07 | 0.07 |
|
|
||||||||
| K = 1 [m s-1] | 1.58 | 0.72 | 1.56 | 0.39 | 1.41 | 1.37 | 1.36 | 1.36 |
| P = 50 [days] | 50.21 | 50.21 | 50.20 | 50.21 | 50.16 | 50.16 | 50.17 | 50.19 |
| e = 0 | 0.25 | 0.22 | 0.20 | 0.21 | 0.15 | 0.11 | 0.10 | 0.05 |
|
|
||||||||
| K = 5 [m s-1] | 5.46 | 2.64 | 5.45 | 1.76 | 5.39 | 5.40 | 5.36 | 5.35 |
| P = 100 [days] | 99.98 | 99.85 | 99.92 | 100.07 | 99.96 | 99.99 | 99.98 | 99.99 |
| e = 0 | 0.09 | 0.00 | 0.07 | 0.04 | 0.05 | 0.04 | 0.05 | 0.03 |
|
|
||||||||
| K = 2 [m s-1] | 2.67 | 1.30 | 2.58 | 0.68 | 2.43 | 2.36 | 2.39 | 2.36 |
| P = 100 [days] | 100.47 | 100.43 | 100.38 | 100.02 | 100.00 | 99.99 | 100.02 | 100.00 |
| e = 0 | 0.30 | 0.30 | 0.30 | 0.05 | 0.16 | 0.11 | 0.10 | 0.10 |
|
|
||||||||
| K = 1 [m s-1] | 1.72 | 0.80 | 1.63 | 0.44 | 1.48 | 1.41 | 1.42 | 1.40 |
| P = 100 [days] | 100.48 | 100.45 | 100.41 | 100.44 | 100.06 | 100.11 | 100.07 | 100.13 |
| e = 0 | 0.30 | 0.29 | 0.29 | 0.27 | 0.27 | 0.24 | 0.17 | 0.19 |
|
|
||||||||
| K = 5 [m s-1] | 4.84 | 2.34 | 4.86 | 1.46 | 4.91 | 5.00 | 5.03 | 5.03 |
| P = 200 [days] | 200.74 | 200.69 | 200.62 | 200.66 | 200.34 | 200.15 | 200.14 | 200.09 |
| e = 0 | 0.08 | 0.06 | 0.07 | 0.02 | 0.07 | 0.07 | 0.07 | 0.07 |
|
|
||||||||
| K = 2 [m s-1] | 1.95 | 0.94 | 1.96 | 0.59 | 2.03 | 2.00 | 2.05 | 2.09 |
| P = 200 [days] | 201.97 | 201.73 | 201.71 | 201.33 | 199.92 | 201.04 | 200.13 | 199.84 |
| e = 0 | 0.14 | 0.12 | 0.14 | 0.09 | 0.16 | 0.13 | 0.12 | 0.12 |
|
|
||||||||
| K = 1 [m s-1] | 1.13 | 0.54 | 1.06 | 0.33 | 1.05 | 1.10 | 1.11 | 1.12 |
| P = 200 [days] | 203.55 | 203.18 | 203.55 | 202.14 | 201.92 | 201.68 | 200.57 | 198.06 |
| e = 0 | 0.20 | 0.14 | 0.15 | 0.12 | 0.14 | 0.15 | 0.15 | 0.14 |
|
|
||||||||
| K = 0.5 [m s-1] | − | − | − | − | − | 0.66 | 0.64 | 0.65 |
| P = 200 [days] | − | − | − | − | − | 202.08 | 201.97 | 201.36 |
| e = 0 | − | − | − | − | − | 0.09 | 0.13 | 0.11 |
|
|
||||||||
| K = 0.3 [m s-1] | − | − | − | − | − | 0.50 | 0.48 | 0.48 |
| P = 200 [days] | − | − | − | − | − | 201.84 | 202.62 | 203.16 |
| e = 0 | − | − | − | − | − | 0.17 | 0.11 | 0.09 |
Notes. Signals detected reliably, i.e. whose 99% Bayesian credibility intervals contain the parameter values of the artificially added signals, are emphasised using boldface.
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