An Improved Exponential Estimator Of The Finite Population Mean In Simple Random Sampling Utilizing Double Auxiliary Variables

Authors

  • Fazal Shakoor
  • Muhammad Atif
  • Soofia Iftikhar
  • Mehwish Dalail
  • Najma Salahuddin
  • Sundus Hussain
  • Muhammad Farooq
  • Qamruz Zaman

DOI:

https://doi.org/10.53555/ks.v12i5.3443

Keywords:

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.

Author Biographies

Fazal Shakoor

Department of Statistics, University of Peshawar, Pakistan

Muhammad Atif

Department of Statistics, University of Peshawar, Peshawar, Pakistan

Soofia Iftikhar

Department of Statistics, Shaheed Benazir Bhutto Women University, Peshawar, Pakistan

Mehwish Dalail

Sarhad University of Science and Information Technology, Peshawar, Pakistan  

Najma Salahuddin

Department of Statistics, Shaheed Benazir Bhutto Women University, Peshawar, Pakistan

Sundus Hussain

Department of Statistics, Shaheed Benazir Bhutto Women University, Peshawar, Pakistan

Muhammad Farooq

Department of Statistics, University of Peshawar, Pakistan

Qamruz Zaman

Department of Statistics, University of Peshawar, Pakistan

Downloads

Published

2023-09-25

How to Cite

Fazal Shakoor, Muhammad Atif, Soofia Iftikhar, Mehwish Dalail, Najma Salahuddin, Sundus Hussain, … Qamruz Zaman. (2023). An Improved Exponential Estimator Of The Finite Population Mean In Simple Random Sampling Utilizing Double Auxiliary Variables. Kurdish Studies, 12(5), 1435–1440. https://doi.org/10.53555/ks.v12i5.3443

Similar Articles

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)