Table 3 ARLs of EWMA-REMA control chart when \({ARL}_{0}=370, n=5,\lambda =0.10\).
From: Design of moving average chart and auxiliary information based chart using extended EWMA
\(k=4.275\) | \(k=5.175\) | \(k=6.463\) | ||||
|---|---|---|---|---|---|---|
\(z=3\) | \(z=5\) | \(z=10\) | ||||
\(\rho =0.50\) | \(\rho =0.90\) | \(\rho =0.50\) | \(\rho =0.90\) | \(\rho =0.50\) | \(\rho =0.90\) | |
C | \(ARL (SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) |
0 | 370.12 (384.9) | 369.99 (377.75) | 370.08 (391.81) | 369.89 (380.93) | 370.01 (409.09) | 370.02 (411.17) |
0.03 | 275.84 (282.7) | 160.34 (169.35) | 274.23 (290.34) | 156.18 (162.45) | 266.32 (293.18) | 150.66 (167.47) |
0.04 | 235.93 (239.91) | 111.88 (108.03) | 231.34 (251.43) | 110.22 (113.54) | 221.45 (248.57) | 101.07 (110.08) |
0.05 | 197.13 (201.33) | 77.37 (74.2) | 195.34 (204.54) | 76.72 (73.96) | 182.68 (200.71) | 71.22 (75.44) |
0.06 | 161.31 (161.53) | 59.32 (56.06) | 157.45 (165.34) | 56.00 (54.99) | 148.20 (164.86) | 51.20 (52.1) |
0.07 | 132.45 (130.66) | 44.73 (41.87) | 127.23 (128.87) | 43.15 (39.88) | 121.84 (131.44) | 38.72 (38.91) |
0.08 | 111.67 (110.78) | 34.84 (31.16) | 108.12 (111.23) | 34.00 (31.93) | 102.50 (111.18) | 30.25 (30.39) |
0.09 | 94.20 (86.79) | 28.14 (24.49) | 90.89 (89.45) | 27.16 (23.87) | 84.75 (88.72) | 24.37 (23.27) |
0.10 | 78.72 (75.96) | 22.87 (19.24) | 75.95 (73.28) | 22.05 (18.91) | 71.52 (77.42) | 19.98 (18.52) |
0.12 | 57.83 (55.06) | 16.46 (13.08) | 56.12 (55.65) | 15.93 (12.06) | 50.68 (51.17) | 14.36 (12.91) |
0.15 | 40.14 (35.05) | 11.30 (5.42) | 37.34 (35.54) | 10.75 (8.26) | 33.83 (33.57) | 9.73 (8.03) |
0.17 | 31.47 (26.3) | 8.99 (6.37) | 29.41 (26.18) | 8.58 (6.54) | 26.99 (25.37) | 7.83 (6.41) |
0.20 | 22.95 (19.13) | 6.94 (4.8) | 21.75 (18.83) | 6.67 (4.71) | 19.66 (18.58) | 5.92 (4.84) |
0.22 | 19.50 (15.62) | 5.82 (3.84) | 18.65 (15.51) | 5.64 (3.99) | 16.76 (14.61) | 5.04 (3.93) |
0.25 | 15.56 (11.99) | 4.74 (3.02) | 14.76 (12.03) | 4.56 (3.17) | 13.02 (11.34) | 3.98 (3.12) |
1.00 | 1.66 (0.85) | 1.00 (0.06) | 1.55 (0.82) | 1.00 (0.05) | 1.38 (0.7) | 1.00 (0.03) |
2.00 | 1.00 (0.05) | 1.00 (0) | 1.00 (0.05) | 1.00 (0) | 1.00 (0.03) | 1.00 (0) |
