Research Article
Enhanced Estimation of the Population Mean Using Two Auxiliary Variables under Probability Proportional to Size Sampling
Table 6
Percentage relative efficiency using simulated data I–IV.
| Estimators | Population I | Population II | Population III | Population IV |
| | 100 | 100 | 100 | 100 | | 464.3814 | 1085.529 | 62.63419 | 113.1176 | | 28.12125 | 26.67967 | 25.06361 | 19.29012 | | 470.6782 | 1086.011 | 124.9428 | 231.5562 | | 258.9004 | 316.4318 | 117.6493 | 230.6734 | | 48.62409 | 46.64071 | 48.86101 | 38.70724 | | 470.8428 | 1087.72 | 125.0442 | 244.9634 | | 470.7056 | 1086.344 | 124.9505 | 233.8571 | | 470.8685 | 1088.296 | 125.0341 | 247.7712 | | 100.0215 | 100.0597 | 100.0239 | 101.8007 | | 888.4242 | 2121.199 | 180.8025 | 409.523 | | 888.4236 | 2121.193 | 180.8023 | 409.1696 | | 888.4242 | 2121.199 | 180.8025 | 409.5405 | | 888.4159 | 2121.104 | 180.7987 | 408.2019 | | 888.424 | 2121.197 | 180.8025 | 409.4457 | | 888.4214 | 2121.163 | 180.8019 | 409.0597 | | 888.4242 | 2121.199 | 180.8025 | 409.5145 | | 888.4241 | 2121.198 | 180.8025 | 409.5142 | | 888.4235 | 2121.193 | 180.802 | 409.0633 | | 888.387 | 2120.847 | 180.7854 | 406.9234 |
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