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. 2024 Aug 13;19(8):e0307559. doi: 10.1371/journal.pone.0307559

Table 6. The RL characteristics of the EWMA-MA sign control chart under various distributions for η = 0.05, w = 5, n = 10, and L = 2.305 at ARL0≅370.

Distribution Characteristic δ AEQL
0 0.05 0.10 0.25 0.50 0.75 1.00 1.50 2.00 2.5 3.0

N(0,1)
ARL 368.7 170.2 66.3 15.7 5.8 3.1 1.9 1.2 1.0 1.0 1.0 9.7
SDRL 357.3 160.9 55.1 10.4 3.6 2.1 1.3 0.5 0.2 0.0 0.0
MRL 260 122 52 14 6 3 1 1 1 1 1
Weibull(2,1)
ARL 369.2 192.5 81.7 21.3 8.6 5.4 3.9 2.5 1.9 1.5 1.4 15.6
SDRL 358.7 180.7 72.5 15.0 5.3 3.3 2.5 1.7 1.2 0.9 0.7
MRL 262 137 59 18 8 5 4 2 1 1 1

Weibull(3.5,1)
ARL 371.7 178.6 72.4 19.1 7.6 4.6 3.2 2.0 1.5 1.3 1.2 13.2
SDRL 358.0 171.9 65.6 13.0 4.6 2.9 2.1 1.3 0.8 0.6 0.4
MRL 261 125 53 16 7 4 3 1 1 1 1

LG(0,3π)
ARL 368.5 149.7 54.2 13.4 4.9 2.6 1.7 1.1 1 1 1 9.3
SDRL 361.4 137.8 43.7 8.6 3.1 1.8 1.1 0.4 0.2 0.1 0
MRL 259 108 43 12 5 2 1 1 1 1 1

CN
ARL 370.1 152.8 67.1 13.8 5.1 2.8 1.8 1.1 1.0 1.0 1.0 9.4
SDRL 364.1 143.7 48.7 9.0 3.2 1.9 1.1 0.4 0.1 0.0 0.0
MRL 258 114 43 12 5 2 1 1 1 1 1

t(5)
ARL 369.8 133.6 49.2 11.8 4.3 2.4 1.6 1.1 1.0 1.0 1.0 9.1
SDRL 365.7 121.6 30.1 7.5 2.8 1.6 0.9 0.4 0.2 0.1 0.0
MRL 256 95 39 11 4 2 1 1 1 1 1

t(10)
ARL 371.3 155.5 58.2 14.1 5.1 2.7 1.8 1.2 1.0 1.0 1.0 95
SDRL 364.1 144.3 49.8 9.2 3.2 1.8 1.1 0.4 0.2 0.1 0.0
MRL 260 112 44 12 5 2 1 1 1 1 1
Laplace(0,12) ARL 372.7 87.2 29.8 8.6 3.6 2.1 1.5 1.1 1.0 1.0 1.0 8.8
SDRL 362.8 74.8 22.4 5.2 2.3 1.4 0.9 0.4 0.2 0.1 0.0
MRL 260 65 25 8 3 2 1 1 1 1 1
gamma(2,1) ARL 369.4 153.0 58.8 14.5 5.5 3.1 2.0 1.2 1.0 1.0 1.0 9.6
SDRL 365.1 144.5 51.2 9.4 3.4 2.0 1.3 0.5 0.2 0.1 0.0
MRL 261 112 45 13 5 3 2 1 1 1 1
gamma(5,1) ARL 370.1 165.7 64.4 15.3 5.7 3.2 2.0 1.2 1.0 1.0 1.0 9.7
SDRL 354.9 153.4 55.2 10.0 3.5 2.1 1.3 0.5 0.2 0.1 0.0
MRL 264 119 48 14 6 3 2 1 1 1 1