
This paper proposes an improved class of estimators for finite population mean under simple random sampling without replacement using an auxiliary variable to enhance efficiency. The proposed class of estimators integrates flexible parameterization and transformed auxiliary variable, allowing it to be adapted to existing estimators and novel estimators through specified parameter choices. Theoretical analysis derives the bias and mean squared error of the proposed class of estimators up to the first degree of approximation, demonstrating its superiority over existing estimators discussed in the paper under certain conditions. Numerical experiments on real-world data sets and simulated populations validate the enhanced performance of the proposed estimators.
Class of estimators, Simple random sampling, Mean squared error, Mean estimators, TA1-2040, Engineering (General). Civil engineering (General), Auxiliary information
Class of estimators, Simple random sampling, Mean squared error, Mean estimators, TA1-2040, Engineering (General). Civil engineering (General), Auxiliary information
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
