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 distributionEstimate.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 1.831.93
80 79.9279.910.070.081.881.85
10099.9299.900.070.101.781.74
120120.00119.970.000.021.781.74
140139.87139.900.120.091.641.53
160159.92159.850.080.141.861.77

40 39.98 38.89 0.02 0.11 2.50 2.96
60 59.94 60.08 0.06 0.08 2.472.83
80 80.0680.140.060.142.953.19
100100.2199.990.210.012.833.18
120120.03120.070.030.072.232.91
140140.13140.230.130.232.292.52
160160.03159.810.030.192.555.29

40 40.14 40.79 0.14 0.79 2.54 11.26
60 59.96 61.10 0.04 1.10 2.5113.22
80 80.2280.800.220.802.5612.67
100100.0599.320.050.682.9912.68
120120.03119.530.030.472.9910.06
140140.11139.510.110.492.8212.15
160159.67159.270.330.737.5411.82