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.