An Improved Exponential Estimator Of The Finite Population Mean In Simple Random Sampling Utilizing Double Auxiliary Variables
DOI:
https://doi.org/10.53555/ks.v12i5.3443Keywords:
Auxiliary, Bias, Efficiency, MSE, PRE, Simple Random Sampling;Abstract
This study introduces a novel family of estimators for the finite population mean that demonstrate improved accuracy by utilizing dual auxiliary information in simple random sampling. The proposed estimators were evaluated by deriving their bias and Mean Square Error (MSE) expressions up to the first-order approximation. The analysis identifies the conditions under which these estimators outperform existing methods. Real-world data were used to compute the MSE and Percentage Relative Efficiency (PRE) of the proposed estimators. Comparative results show that, under specified conditions, the new estimator family achieve greater precision, reducing MSE and enhancing estimation accuracy.
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Copyright (c) 2024 Fazal Shakoor, Muhammad Atif, Soofia Iftikhar, Mehwish Dalail, Najma Salahuddin, Sundus Hussain, Muhammad Farooq, Qamruz Zaman
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.