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

Table 7. The RL characteristics of the EWMA-MA sign control chart under various distributions for η = 0.10, w = 5, n = 10, and L = 2.480 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 372.3 202.2 82.8 17.5 6.1 3.3 2.1 1.2 1.0 1.0 1.0 9.9
SDRL 368.3 197.2 77.3 12.1 3.5 2.1 1.3 0.5 0.2 0.0 0.0
MRL 256.5 142 59 15 6 3 1 1 1 1 1
Weibull(2,1)
ARL 369.6 222.2 101.8 24.3 9.2 5.7 4.2 2.7 2.0 1.6 1.4 16.5
SDRL 365.4 218.5 93.8 18.3 5.4 3.3 2.5 1.8 1.3 1.0 0.8
MRL 254 157 72 20 9 6 4 2 1 1 1

Weibull(3.5,1)
ARL 370.5 209.2 90.7 21.1 8.0 4.9 3.5 2.1 1.6 1.3 1.2 13.7
SDRL 368.6 205.2 83.7 15.6 4.6 2.9 2.2 1.4 1.0 0.7 0.5
MRL 253 145 66 17 8 5 3 2 1 1 1

LG(0,3π)
ARL 372.8 177.4 67.8 14.1 5.2 2.9 1.8 1.2 1.0 1.0 1.0 9.6
SDRL 365.6 175.9 60.3 9.3 3.0 1.9 1.2 0.5 0.2 0.1 0.0
MRL 262 122 50 12 5 3 1 1 1 1 1

CN
ARL 373.3 182.8 71.3 14.9 5.4 3.0 1.9 1.1 1.0 1.0 1.0 9.6
SDRL 372.2 177.5 62.7 10.0 3.1 1.9 1.2 0.4 0.1 0.0 0.0
MRL 257 129 52 13 5 3 1 1 1 1 1

t(5)
ARL 368.4 160.9 59.3 12.8 4.7 2.6 1.7 1.1 1.0 1.0 1.0 9.3
SDRL 367.9 153.2 52.5 8.1 2.8 1.7 1.0 0.4 0.2 0.1 0.0
MRL 254 115 44 11 5 2 1 1 1 1 1

t(10)
ARL 372.1 183.8 72.3 15.2 5.5 3 1.9 1.2 1.0 1.0 1.0 9.7
SDRL 374.7 179.6 65.7 10.1 3.1 1.9 1.2 0.5 0.2 0.1 0.0
MRL 258 131 53 13 6 3 1 1 1 1 1
Laplace(0,12) ARL 369.5 102.9 34.8 9.0 3.8 2.3 1.6 1.2 1.0 1.0 1.0 8.9
SDRL 370.1 98.5 28 5.3 2.4 1.5 1.0 0.5 0.2 0.1 0.0
MRL 254 73 27 8 4 2 1 1 1 1 1
gamma(2,1) ARL 372.5 183.6 72.2 15.4 5.8 3.3 2.1 1.3 1.1 1.0 1.0 10.0
SDRL 370.5 178.7 65.5 10.4 3.3 2.1 1.4 0.6 0.3 0.1 0.0
MRL 258 128 53 13 6 3 2 1 1 1 1
gamma(5,1) ARL 371.8 193.4 79.8 16.9 6.1 3.4 2.2 1.3 1.0 1.0 1.0 10.0
SDRL 368.1 190 74.0 11.7 3.5 2.1 1.4 0.6 0.2 0.1 0.0
MRL 255.5 136 58 14 6 3 2 1 1 1 1