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

Table 5.

Comparative analysis based on run length profile for p = 3.

δ ARL SDRL P5th P10th P25th P50th P75th P90th P95th
0.25 EWMA 3.70 0.73 3 3 3 4 4 5 5
AEWMA-I 2.82 0.82 2 2 2 3 3 4 4
0.50 EWMA 8.03 3.31 4 5 6 7 10 12 14
AEWMA-I 6.16 2.69 2 3 4 6 7 10 11
0.75 EWMA 38.51 31.40 8 10 16 29 51 79 100
AEWMA-I 23.19 14.94 5 7 11 20 32 44 51
0.80 EWMA 63.14 56.44 9 13 24 46 85 136 174
AEWMA-I 33.40 21.89 6 8 16 30 46 63 75
0.85 EWMA 113.56 106.91 12 18 38 81 155 253 327
AEWMA-I 50.82 34.21 7 11 25 45 70 97 115
0.92 EWMA 269.94 262.35 19 34 82 190 373 611 797
AEWMA-I 113.31 87.33 10 21 50 94 155 228 282
0.95 EWMA 363.10 356.22 23 43 108 254 501 831 1077
AEWMA-I 188.16 163.58 14 31 73 144 255 399 513
0.97 EWMA 400.82 396.42 26 27 119 280 550 919 1189
AEWMA-I 276.88 260.64 16 38 94 200 379 618 795
1.00 EWMA 370.72 362.45 24 44 111 260 514 845 1095
AEWMA-I 370.37 358.69 19 46 117 262 511 838 1084
1.03 EWMA 276.17 269.44 20 35 85 194 379 629 817
AEWMA-I 252.80 222.24 18 40 95 193 346 541 689
1.05 EWMA 215.87 209.42 17 29 67 152 295 491 631
AEWMA-I 179.51 146.03 16 33 75 144 243 371 467
1.08 EWMA 145.53 138.30 14 21 47 103 199 325 420
AEWMA-I 116.82 86.65 13 25 54 98 159 232 284
1.10 EWMA 115.24 107.31 12 19 38 83 157 257 329
AEWMA-I 92.22 66.20 11 21 44 79 126 180 219
1.15 EWMA 67.53 60.38 9 13 25 49 91 147 188
AEWMA-I 57.17 39.31 8 14 28 50 78 110 132
1.30 EWMA 23.52 17.99 5 7 11 18 31 47 59
AEWMA-I 22.94 15.24 5 7 11 20 31 44 52
1.75 EWMA 7.14 3.86 3 3 4 6 9 12 15
AEWMA-I 6.87 3.91 3 3 4 6 9 12 15
3.50 EWMA 2.59 0.85 2 2 2 2 3 4 4
AEWMA-I 2.39 0.78 2 2 2 2 3 3 4

Significant values are in bold.