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 | ||
|
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 | ||
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 |