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

Table 5.

Run length profile of control charts for λ = 0.25 for ARL0 = 500.

δ n1 = 3, n2 = 6, λ = 0.25 n1 = 5, n2 = 10, λ = 0.25
FEWMA VEWMA ASEWMA FEWMA VEWMA ASEWMA
L = 3.0 L = 3.2600 L = 3.002 L = 3.0 L = 3.2501 L = 3.0100
ARL SDRL ARL SDRL ARL SDRL ARL SDRL ARL SDRL ARL SDRL
0 500.96 499.12 500.34 497.26 500.00 495.64 500.67 498.76 500.84 498.77 500.74 498.86
0.1 389.24 385.33 385.15 383.77 352.28 350.03 384.68 382.57 341.02 339.54 295.88 293.53
0.2 226.66 224.07 221.95 220.06 175.75 173.52 225.71 223.33 158.93 156.26 119.60 118.51
0.3 126.48 124.21 120.45 117.93 87.29 84.63 127.77 125.27 74.52 70.74 53.46 51.29
0.4 74.95 71.45 69.75 66.09 48.74 45.83 75.26 72.12 40.16 36.38 28.13 24.77
0.6 31.66 28.36 28.69 25.67 20.07 17.19 31.74 28.35 15.89 12.54 11.60 8.85
0.8 16.64 13.44 14.78 11.48 10.74 7.99 16.81 13.69 8.59 5.81 6.58 4.30
1.0 10.46 7.62 9.28 6.32 6.91 4.52 10.41 7.66 5.67 3.26 4.45 2.50
2.0 2.94 1.53 2.95 1.25 2.43 0.97 2.92 1.53 2.17 0.76 1.89 0.60
3.0 1.60 0.70 1.88 0.63 1.69 0.52 1.62 0.71 1.46 0.51 1.36 0.48
4.0 1.16 0.37 1.41 0.50 1.32 0.46 1.16 0.37 1.11 0.31 1.07 0.25
5.0 1.02 0.15 1.14 0.34 1.09 0.28 1.02 0.14 1.00 0.09 1.00 0.06