Table 3 ARL values for the parametric values \(\theta = 2.0\), \(\lambda = 2.0\) and n = 15 under truncated life test.
\(ARL_{0}\) | 200 | 250 | 300 | 370 | 500 |
|---|---|---|---|---|---|
\(l\) | 2.891 | 2.957 | 2.937 | 3.029 | 3.158 |
\(a\) | 0.8678 | 0.7907 | 0.9531 | 0.9807 | 0.8309 |
\(s\) | \(ARL_{1}\) | \(ARL_{1}\) | \(ARL_{1}\) | \(ARL_{1}\) | \(ARL_{1}\) |
0.10 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
0.20 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
0.30 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
0.40 | 1.02 | 1.02 | 1.03 | 1.08 | 1.04 |
0.50 | 1.23 | 1.23 | 1.26 | 1.53 | 1.35 |
0.60 | 2.14 | 2.17 | 2.17 | 3.24 | 2.66 |
0.70 | 5.47 | 5.67 | 5.47 | 10.01 | 7.82 |
0.80 | 18.73 | 19.63 | 18.44 | 40.76 | 30.50 |
0.85 | 37.24 | 39.13 | 36.65 | 87.97 | 64.51 |
0.90 | 75.18 | 79.46 | 75.43 | 189.09 | 139.37 |
0.95 | 141.59 | 155.38 | 156.58 | 342.80 | 291.84 |
1.00 | 200.04 | 250.05 | 300.15 | 370.09 | 500.32 |
1.05 | 176.79 | 196.70 | 239.22 | 239.59 | 436.19 |
1.10 | 116.80 | 167.60 | 224.23 | 133.94 | 376.86 |
1.15 | 72.73 | 128.56 | 213.59 | 76.80 | 231.31 |
1.20 | 46.57 | 83.55 | 134.14 | 46.74 | 143.04 |
1.30 | 21.91 | 39.40 | 54.00 | 20.55 | 62.27 |
1.40 | 12.13 | 21.58 | 26.09 | 10.89 | 31.98 |
1.50 | 7.62 | 13.30 | 14.62 | 6.64 | 18.70 |
1.60 | 5.27 | 8.99 | 9.19 | 4.51 | 12.09 |
1.70 | 3.92 | 6.53 | 6.32 | 3.33 | 8.45 |
1.80 | 3.09 | 5.01 | 4.66 | 2.62 | 6.29 |
1.90 | 2.55 | 4.02 | 3.63 | 2.17 | 4.91 |
2.00 | 2.18 | 3.35 | 2.96 | 1.86 | 4.00 |
2.50 | 1.39 | 1.88 | 1.62 | 1.24 | 2.08 |
3.00 | 1.16 | 1.44 | 1.26 | 1.09 | 1.53 |
3.50 | 1.08 | 1.25 | 1.12 | 1.03 | 1.29 |
4.00 | 1.04 | 1.15 | 1.06 | 1.01 | 1.18 |