Table 4 ARLs of EWMA-REMA control chart when \({ARL}_{0}=370, n=5,\lambda =0.20\).
From: Design of moving average chart and auxiliary information based chart using extended EWMA
\(k=4.306\) | \(k=5.02\) | \(k=5.903\) | ||||
|---|---|---|---|---|---|---|
\(z=3\) | \(z=5\) | \(z=10\) | ||||
\(\rho =0.50\) | \(\rho =0.90\) | \(\rho =0.50\) | \(\rho =0.90\) | \(\rho =0.50\) | \(\rho =0.90\) | |
c | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) |
0 | 370.02 (381.25) | 370.01 (378.47) | 370.04 (387.5) | 369.88 (383.8) | 369.91 (383.91) | 374.34 (389.53) |
0.03 | 303.31 (309.01) | 200.59 (201.99) | 297.54 (305.07) | 185.14 (194.46) | 288.38 (383.91) | 172.29 (197.27) |
0.04 | 269.96 (273.71) | 146.19 (147.97) | 253.70 (268.5) | 139.05 (145.16) | 244.31 (281.46) | 119.12 (136.76) |
0.05 | 233.09 (239.97) | 107.04 (108.01) | 222.99 (232.72) | 100.02 (102.27) | 202.60 (231.38) | 86.34 (97.56) |
0.06 | 201.01 (206.24) | 79.19 (78.09) | 189.18 (203.42) | 71.66 (73.56) | 177.74 (204.53) | 61.23 (69.98) |
0.07 | 169.95 (173.7) | 60.43 (57.67) | 157.17 (166.12) | 54.78 (55.51) | 145.24 (162.45) | 45.91 (51.53) |
0.08 | 148.09 (148.03) | 46.72 (46.28) | 134.62 (144.56) | 41.82 (41.3) | 119.51 (135.83) | 34.48 (37.76) |
0.09 | 125.49 (126.73) | 36.75 (34.09) | 116.42 (121.93) | 33.58 (32.52) | 99.93 (114.81) | 27.23 (29.68) |
0.10 | 104.13 (105.76) | 29.84 (27.07) | 96.54 (101.73) | 26.88 (25.58) | 84.93 (96.91) | 22.32 (23.15) |
0.12 | 80.15 (80.09) | 20.65 (18.66) | 70.80 (74.11) | 18.27 (17.16) | 60.61 (67.37) | 15.12 (15.25) |
0.15 | 52.07 (51.62) | 13.17 (10.69) | 45.95 (46.59) | 11.56 (9.78) | 39.81 (43.91) | 9.61 (9.18) |
0.17 | 41.15 (39.93) | 10.19 (8) | 36.01 (35.79) | 9.03 (7.3) | 30.74 (33.13) | 7.55 (7.03) |
0.20 | 29.19 (26.96) | 7.36 (5.4) | 26.67 (25.17) | 6.69 (5.25) | 21.33 (22.3) | 5.43 (4.83) |
0.22 | 24.79 (22.74) | 6.19 (4.35) | 21.80 (20.37) | 5.64 (4.33) | 17.91 (18.81) | 4.57 (4.07) |
0.25 | 18.66 (16.31) | 4.94 (3.38) | 16.71 (15.23) | 4.48 (3.24) | 13.73 (13.76) | 3.59 (3.03) |
1.00 | 1.65 (0.85) | 1.00 (0.06) | 1.51 (0.79) | 1.00 (0.03) | 1.30 (0.61) | 1 (0.02) |
2.00 | 1.00 (0.06) | 1.00 (0) | 1.00 (0.03) | 1.00 (0) | 1.00 (0) | 1 (0) |
