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. 2023 Oct 24;13:18137. doi: 10.1038/s41598-023-45399-3

Table 3.

The proposed AEWMA-I RL for ARL0 = 370 and ψ = 0.15 at diverse dimensions.

δ  2  3  4  5
L = 0.2148 L = 0.2181 L = 0.2203 L = 0.2217
ARL SDRL ARL SDRL ARL SDRL ARL SDRL
0.05 2.05 0.21 2.00 0.00 2.00 0.00 2.00 0.00
0.10 2.47 0.55 2.01 0.09 2.00 0.00 2.00 0.00
0.15 2.95 0.76 2.15 0.37 2.00 0.05 2.00 0.01
0.20 3.46 0.94 2.45 0.61 2.06 0.25 2.00 0.05
0.30 4.60 1.44 3.26 1.02 2.53 0.73 2.17 0.43
0.40 6.32 2.51 4.38 1.55 3.40 1.21 2.76 0.94
0.50 9.33 4.69 6.16 2.69 4.69 1.92 3.81 1.56
0.60 14.92 8.65 9.55 5.22 7.05 3.66 5.62 2.79
0.70 25.56 15.68 16.65 10.39 12.21 7.60 9.58 5.87
0.80 48.14 30.73 33.40 21.89 25.15 16.91 20.05 13.80
0.85 71.97 48.03 50.82 34.21 39.51 26.96 32.09 22.47
0.90 117.22 86.90 86.13 62.99 68.91 50.07 57.20 41.89
0.92 151.91 121.29 113.31 87.33 90.75 69.43 76.24 57.90
0.95 237.34 213.39 188.16 163.58 157.01 134.59 134.43 114.47
0.97 317.89 302.00 276.88 260.64 246.13 232.69 219.94 206.33
1.00 370.25 352.14 370.37 358.69 370.01 360.90 370.21 363.32
1.03 273.53 246.38 252.80 222.24 237.23 202.39 222.06 187.51
1.05 207.36 177.60 179.51 146.03 161.49 126.83 147.86 112.34
1.08 140.57 111.18 116.82 86.65 101.42 72.60 90.42 62.92
1.10 112.37 85.06 92.22 66.20 78.41 54.05 69.65 46.95
1.15 72.92 52.63 57.17 39.31 48.12 32.08 42.16 27.39
1.20 51.12 35.74 39.53 26.75 33.04 21.75 28.45 18.28
1.30 30.44 21.22 22.94 15.24 18.86 12.15 16.14 10.03
1.40 20.73 14.36 15.42 10.01 12.61 7.79 10.90 6.41
1.50 15.33 10.40 11.48 7.24 9.43 5.55 8.13 4.50
1.75 9.04 5.90 6.87 3.96 5.73 3.03 5.03 2.48
2.00 6.46 3.98 4.96 2.69 4.20 2.07 3.73 1.70
2.50 4.24 2.36 3.36 1.60 2.91 1.21 2.64 0.97
3.00 3.30 1.67 2.70 1.09 2.42 0.78 2.25 0.59
3.50 2.81 1.25 2.39 0.78 2.20 0.52 2.10 0.36
4.00 2.55 1.00 2.22 0.57 2.10 0.36 2.04 0.23
5.00 2.27 0.65 2.08 0.33 2.03 0.18 2.01 0.10
6.00 2.14 0.47 2.04 0.21 2.01 0.10 2.00 0.05
7.00 2.09 0.35 2.02 0.14 2.00 0.06 2.00 0.03