Family Of Enhanced Estimators For Population Mean Using Auxiliary Information Under Simple Random Sampling

Authors

  • Shumaila Wazir
  • Muhammad Atif
  • Neelam
  • Hassan Yar Ud Din
  • Soofia Iftikhar
  • Muhammad Farooq
  • Qamruz Zaman
  • Mujeeb Hussain

DOI:

https://doi.org/10.53555/ks.v12i5.3476

Keywords:

Auxiliary variable, study variable, bias (B), MSE, Percentage relative efficiency

Abstract

In this paper, we present an enhanced class of exponential-ratio-type estimators for estimating the finite population mean using simple random sampling without replacement. The proposed estimators depend on the careful and appropriate selection of the parameters of auxiliary information. The inclusion of auxiliary variable decreases the mean square error (MSE) and boosts the accuracy and efficiency. The expressions for bias and mean square error up to order one, along with the theoretical conditions are derived. The results show latest estimators performed better than the prior ones. In order to assess the estimators performance numerically, we use real data set to calculate their mean square error and percentage relative efficiency (PRE). Using numerical results, a comparative study show that the proposed estimators yielded more accurate results than existing ones. Therefore, the proposed family of enhanced estimators can be utilized to achieve better results as compared to the existing mean estimators for the population.

Author Biographies

Shumaila Wazir

Department of Statistics, University of Peshawar, Pakistan

Muhammad Atif

Department of Statistics, University of Peshawar, Pakistan

Neelam

Department of Statistics, University of Peshawar, Pakistan

Hassan Yar Ud Din

Department of Statistics, University of Peshawar, Pakistan

Soofia Iftikhar

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

Mujeeb Hussain

Departemt of Statistics, Government College Peshawar, Peshawar, Pakistan

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Published

2024-09-28

How to Cite

Shumaila Wazir, Muhammad Atif, Neelam, Hassan Yar Ud Din, Soofia Iftikhar, Muhammad Farooq, … Mujeeb Hussain. (2024). Family Of Enhanced Estimators For Population Mean Using Auxiliary Information Under Simple Random Sampling. Kurdish Studies, 12(5), 1320–1327. https://doi.org/10.53555/ks.v12i5.3476

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