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. 2023 Oct 24;13:18137. doi: 10.1038/s41598-023-45399-3

Table 6.

Comparative analysis based on run length profile for p = 5.

δ ARL SDRL P5th P10th P25th P50th P75th P90th P95th
0.25 EWMA 2.70 0.51 2 2 2 3 3 3 3
AEWMA-I 2.04 0.21 2 2 2 2 2 2 2
0.50 EWMA 5.11 1.64 3 3 4 5 6 7 8
AEWMA-I 3.81 1.56 2 2 2 4 5 6 6
0.75 EWMA 19.91 14.14 5 7 10 16 26 38 48
AEWMA-I 13.50 8.92 2 4 7 11 18 26 31
0.80 EWMA 32.99 26.53 7 9 14 25 44 68 87
AEWMA-I 20.05 13.80 3 5 9 17 28 39 46
0.85 EWMA 62.20 56.07 9 12 22 45 84 135 174
AEWMA-I 32.09 22.47 4 7 14 28 45 63 74
0.92 EWMA 182.72 176.31 15 24 57 129 252 413 536
AEWMA-I 76.24 57.90 6 13 34 65 105 152 186
0.95 EWMA 293.04 289.29 19 35 87 204 407 671 870
AEWMA-I 134.43 114.47 8 19 52 106 184 285 360
0.97 EWMA 362.89 359.34 23 42 106 250 504 830 1082
AEWMA-I 219.94 206.33 10 27 75 162 302 487 625
1.00 EWMA 369.30 363.54 24 44 110 258 511 838 1090
AEWMA-I 370.21 363.32 14 40 112 261 514 843 1084
1.03 EWMA 258.03 250.42 20 33 79 180 356 588 756
AEWMA-I 222.06 187.51 15 38 90 174 303 466 589
1.05 EWMA 186.20 179.75 17 27 59 131 254 418 545
AEWMA-I 147.86 112.34 14 30 67 123 201 296 364
1.08 EWMA 115.32 108.31 13 19 39 82 157 254 331
AEWMA-I 90.42 62.92 12 21 45 78 122 173 209
1.10 EWMA 85.47 77.86 11 16 30 62 115 188 243
AEWMA-I 69.65 46.95 10 17 35 61 94 132 159
15 EWMA 46.73 39.49 8 11 19 35 62 97 126
AEWMA-I 42.16 27.39 8 11 21 37 57 79 94
1.30 EWMA 16.04 10.69 5 6 9 13 21 30 37
AEWMA-I 16.06 10.03 4 6 9 14 21 30 36
1.75 EWMA 5.25 2.34 2 3 4 5 6 8 10
AEWMA-I 5.03 2.43 2 2 3 5 6 8 10
3.50 EWMA 2.21 0.47 2 2 2 2 2 3 3
AEWMA-I 2.10 0.36 2 2 2 2 2 2 3

Significant values are in bold.