Research Article
Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM Algorithm
Table 1
Comparison of results for Laplace model and normal model based on 500 replications in Simulations 1–3.
| Error distribution | | Estimate. | Estimate. | diff. | diff. | sd. | sd. |
| | 40 | 40.07 | 40.11 | 0.07 | 0.11 | 1.92 | 1.77 | 60 | 59.85 | 59.81 | 0.14 | 0.18 | 1.83 | 1.93 | 80 | 79.92 | 79.91 | 0.07 | 0.08 | 1.88 | 1.85 | 100 | 99.92 | 99.90 | 0.07 | 0.10 | 1.78 | 1.74 | 120 | 120.00 | 119.97 | 0.00 | 0.02 | 1.78 | 1.74 | 140 | 139.87 | 139.90 | 0.12 | 0.09 | 1.64 | 1.53 | 160 | 159.92 | 159.85 | 0.08 | 0.14 | 1.86 | 1.77 |
| | 40 | 39.98 | 38.89 | 0.02 | 0.11 | 2.50 | 2.96 | 60 | 59.94 | 60.08 | 0.06 | 0.08 | 2.47 | 2.83 | 80 | 80.06 | 80.14 | 0.06 | 0.14 | 2.95 | 3.19 | 100 | 100.21 | 99.99 | 0.21 | 0.01 | 2.83 | 3.18 | 120 | 120.03 | 120.07 | 0.03 | 0.07 | 2.23 | 2.91 | 140 | 140.13 | 140.23 | 0.13 | 0.23 | 2.29 | 2.52 | 160 | 160.03 | 159.81 | 0.03 | 0.19 | 2.55 | 5.29 |
| | 40 | 40.14 | 40.79 | 0.14 | 0.79 | 2.54 | 11.26 | 60 | 59.96 | 61.10 | 0.04 | 1.10 | 2.51 | 13.22 | 80 | 80.22 | 80.80 | 0.22 | 0.80 | 2.56 | 12.67 | 100 | 100.05 | 99.32 | 0.05 | 0.68 | 2.99 | 12.68 | 120 | 120.03 | 119.53 | 0.03 | 0.47 | 2.99 | 10.06 | 140 | 140.11 | 139.51 | 0.11 | 0.49 | 2.82 | 12.15 | 160 | 159.67 | 159.27 | 0.33 | 0.73 | 7.54 | 11.82 |
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