Research Article
Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM Algorithm
Table 2
Comparison of results for Laplace model and normal model based on 500 replications in Simulations 4–6.
| Error distribution | | Estimate. | Estimate. | diff. | diff. | sd. | sd. |
| | 40 | 42.00 | 46.42 | 2.00 | 6.42 | 16.74 | 28.94 | 60 | 60.67 | 61.58 | 0.67 | 1.58 | 9.62 | 19.85 | 80 | 80.37 | 81.44 | 0.37 | 1.44 | 7.76 | 17.26 | 100 | 99.18 | 99.03 | 0.82 | 0.97 | 8.76 | 14.99 | 120 | 119.82 | 120.36 | 0.18 | 0.36 | 11.13 | 16.98 | 140 | 139.26 | 137.25 | 0.74 | 2.75 | 10.98 | 22.95 | 160 | 158.21 | 152.70 | 1.79 | 7.30 | 15.74 | 30.94 |
| | 40 | 41.23 | 49.78 | 1.23 | 9.78 | 13.49 | 38.92 | 60 | 60.40 | 63.87 | 0.40 | 3.87 | 4.83 | 27.14 | 80 | 80.58 | 83.08 | 0.58 | 3.08 | 4.66 | 25.60 | 100 | 100.00 | 101.35 | 0.00 | 1.35 | 6.50 | 21.20 | 120 | 120.44 | 117.74 | 0.44 | 2.26 | 6.03 | 24.65 | 140 | 139.92 | 136.16 | 0.08 | 3.84 | 5.48 | 27.81 | 160 | 158.80 | 152.27 | 1.20 | 7.73 | 13.71 | 35.13 |
| Cauchy | 40 | 51.75 | 98.10 | 11.75 | 58.10 | 46.99 | 67.04 | 60 | 64.81 | 98.77 | 4.81 | 38.77 | 34.23 | 66.56 | 80 | 81.63 | 81.44 | 1.63 | 1.44 | 7.76 | 17.26 | 100 | 98.61 | 99.34 | 1.39 | 0.66 | 29.76 | 64.17 | 120 | 119.83 | 105.36 | 0.17 | 14.64 | 28.86 | 65.80 | 140 | 134.43 | 107.23 | 5.57 | 32.78 | 36.47 | 63.55 | 160 | 149.95 | 105.12 | 10.05 | 54.90 | 46.53 | 66.94 |
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