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. 2025 Aug 22;15:30964. doi: 10.1038/s41598-025-16531-2

Table 4.

Run length profile of control charts for λ = 0.15 for ARL0 = 500.

δ n1 = 3, n2 = 6, λ = 0.15 n1 = 5, n2 = 10, λ = 0.15
FEWMA VEWMA ASEWMA FEWMA VEWMA ASEWMA
L = 2.9100 L = 3.2300 L = 2.9200 L = 2.9100 L = 3.2103 L = 2.9200
ARL SDRL ARL SDRL ARL SDRL ARL SDRL ARL SDRL ARL SDRL
0 500.49 499.39 500.20 499.12 500.84 498.80 500.87 499.90 500.52 198.96 500.79 499.35
0.1 348.66 343.86 345.63 344.97 300.14 298.14 342.41 340.81 284.71 282.05 241.84 239.72
0.2 174.92 172.84 168.75 163.67 130.42 128.04 174.93 170.29 113.50 109.26 84.69 81.16
0.3 92.55 88.30 88.00 83.15 62.84 59.35 92.94 88.47 52.31 47.10 37.36 32.98
0.4 53.39 48.75 50.14 44.82 35.60 31.18 54.27 49.28 29.35 24.65 21.04 17.15
0.6 23.81 19.14 21.59 17.10 15.78 12.01 23.64 19.07 12.80 8.90 9.70 6.61
0.8 13.37 9.66 12.08 8.04 9.28 6.25 13.53 9.76 7.66 4.61 5.95 3.60
1.0 8.87 5.88 8.14 4.97 6.25 3.87 8.83 5.75 5.30 2.89 4.16 2.25
2.0 2.77 1.42 2.90 1.23 2.34 0.91 2.77 1.42 2.15 0.77 1.85 0.60
3.0 1.55 0.67 1.85 0.63 1.65 0.53 1.56 0.67 1.44 0.52 1.33 0.47
4.0 1.14 0.35 1.42 0.50 1.29 0.45 1.14 0.35 1.10 0.30 1.05 0.23
5.0 1.01 0.13 1.13 0.34 1.08 0.27 1.02 0.14 1.00 0.09 1.00 0.06