Table 6 Percent relative efficiency (pre) of competing and proposed estimators under gamma population with strong auxiliary correlation ρ ≈ 0.90, and sample size n=150.
Estimator | Mean | Normal | Percentile | ||
|---|---|---|---|---|---|
Lowe confidence limit(LCL) | Upper confidence limit (UCL) | Lowe confidence limit (LCL) | Upper confidence limit (UCL) | ||
T0 | 100.00 | 100.00 | 100.00 | 100.00 | 100.00 |
T1 | 3.970e + 04 | 2.250e + 03 | 7.710e + 04 | 1.320e + 00 | 1.430e + 05 |
T2 | 2.480e + 03 | – 1.840e + 03 | 6.810e + 03 | 1.530e + 00 | 9.970e + 02 |
T3 | 5.670e + 03 | – 1.030e + 02 | 1.140e + 04 | 5.070e + 00 | 1.430e + 04 |
T4 | 1.810e + 07 | – 1.650e + 07 | 5.260e + 07 | 1.940e + 00 | 9.060e + 05 |
T5 | 2.690e + 04 | – 1.690e + 04 | 7.070e + 04 | 5.460e + 00 | 1.230e + 04 |
T6 | 1.090e + 08 | – 1.040e + 08 | 3.210e + 08 | 1.580e + 00 | 4.390e + 05 |
T7 | 4.110e + 04 | – 3.770e + 03 | 8.610e + 04 | 2.260e + 00 | 7.970e + 04 |
T8 | 4.360e + 04 | – 8.170e + 03 | 9.530e + 04 | 2.290e + 00 | 9.540e + 04 |
TP1 | 3.180e-06 | 2.700e-06 | 3.660e-06 | 3.170e-09 | 1.400e-05 |
TP2 | 3.720e-03 | 3.150e-03 | 4.290e-03 | 3.690e-06 | 1.680e-02 |
