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Simulation-Based Evaluation of Robust Transformation Techniques for Median Estimation Under Simple Random Sampling

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Veröffentlicht in:Axioms vol. 14, no. 4 (2025), p. 301
1. Verfasser: Almulhim, Fatimah A
Weitere Verfasser: Alghamdi, Abdulaziz S
Veröffentlicht:
MDPI AG
Schlagworte:
Accuracy
Bias
Datasets
Mean
Sampling techniques
Sampling methods
Environmental research
Random variables
Variables
Methods
Estimators
Median (statistics)
Environmental monitoring
Random sampling
Climate change
Social sciences
Robustness
Clinical outcomes
Quartiles
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Abstract:An efficient estimator can reduce both bias and mean squared error to provide more accurate results by using the transformation strategy. In this paper, an enhanced class of ratio–product types of estimators is introduced, which employs the transformation technique by linearly combining two robust measures, the trimean and decile mean, and five non-conventional measures, the range, inter-quartile range, mid-range, quartile average, and quartile deviation, on auxiliary variables with a simple random sampling method to estimate the finite population median. This transformation approach improves efficiency and enables estimators to manage data variability better. Using these estimators, we investigate their bias and mean squared error up to the first order of approximation. A comparison of the proposed estimators and existing methods is conducted through five simulated populations generated through different suitable distributions and three real datasets. By improving the precision and efficiency of median estimation, the proposed estimators ensure accurate and reliable results. Comparing the new estimators to traditional estimators, the findings show superior performance for new estimators in terms of mean squared errors (MSEs).
ISSN:2075-1680
DOI:10.3390/axioms14040301
Quelle:Engineering Database