Table 5 ARL values for the parametric values \(\theta = 1.0\), \(\lambda = 1.0\) and n = 20 under truncated life test.
\(ARL_{0}\) | 200 | 250 | 300 | 370 | 500 |
|---|---|---|---|---|---|
\(l\) | 2.891 | 2.956 | 2.937 | 3.031 | 3.158 |
\(a\) | 0.8493 | 0.7648 | 0.9456 | 0.978 | 0.8086 |
\(s\) | \(ARL_{1}\) | \(ARL_{1}\) | \(ARL_{1}\) | \(ARL_{1}\) | \(ARL_{1}\) |
0.10 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
0.20 | 1.00 | 1.00 | 1.00 | 1.01 | 1.00 |
0.30 | 1.02 | 1.01 | 1.03 | 1.10 | 1.03 |
0.40 | 1.16 | 1.13 | 1.21 | 1.47 | 1.23 |
0.50 | 1.70 | 1.64 | 1.82 | 2.63 | 1.97 |
0.60 | 3.35 | 3.24 | 3.60 | 6.19 | 4.33 |
0.70 | 8.52 | 8.39 | 9.00 | 18.26 | 12.44 |
0.80 | 26.25 | 26.41 | 27.11 | 63.68 | 43.10 |
0.85 | 48.27 | 49.15 | 49.54 | 123.09 | 84.09 |
0.90 | 88.69 | 92.22 | 92.55 | 230.53 | 165.80 |
0.95 | 150.61 | 165.55 | 172.67 | 359.57 | 314.46 |
1.00 | 200.00 | 250.14 | 300.09 | 370.89 | 500.06 |
1.05 | 183.26 | 230.37 | 272.58 | 260.20 | 446.11 |
1.10 | 130.16 | 213.35 | 256.66 | 158.68 | 415.36 |
1.15 | 85.63 | 146.48 | 232.79 | 96.71 | 271.67 |
1.20 | 56.79 | 98.52 | 175.34 | 61.28 | 174.81 |
1.30 | 27.66 | 48.07 | 75.14 | 28.09 | 79.22 |
1.40 | 15.46 | 26.61 | 37.00 | 15.02 | 41.25 |
1.50 | 9.66 | 16.40 | 20.69 | 9.08 | 24.13 |
1.60 | 6.60 | 11.00 | 12.83 | 6.06 | 15.48 |
1.70 | 4.83 | 7.90 | 8.65 | 4.36 | 10.70 |
1.80 | 3.75 | 6.00 | 6.23 | 3.34 | 7.84 |
1.90 | 3.04 | 4.75 | 4.75 | 2.69 | 6.04 |
2.00 | 2.55 | 3.91 | 3.78 | 2.26 | 4.84 |
2.50 | 1.52 | 2.08 | 1.87 | 1.37 | 2.37 |
3.00 | 1.22 | 1.53 | 1.37 | 1.14 | 1.66 |
3.50 | 1.11 | 1.30 | 1.18 | 1.06 | 1.37 |
4.00 | 1.06 | 1.18 | 1.09 | 1.02 | 1.23 |
