An Efficient Logarithmic Ratio Type Estimator of Finite Population Mean under Simple Random Sampling


  • Awwal Adejumobi Department of Mathematics, Faculty of Physical Sciences, Kebbi State University of Science and Technology, Aliero, Nigeria
  • Mojeed Abiodun Yunusa Department of Statistics, Faculty of Physical Sciences, Usmanu Danfodiyo University, Sokoto, Nigeria
  • Yahqub A. Erinola Department of Mathematics, Faculty of Physical Sciences, Kebbi State University of Science and Technology, Aliero, Nigeria.
  • Kabiru Abubakar Department of Statistics, Faculty of Physical Sciences, Usmanu Danfodiyo University, Sokoto, Nigeria


Auxiliary variable, Logarithmic ratio estimator, Bias, MSE, Efficiency


The use of auxiliary information has become indispensable for improving the exact of estimators of population parameters like the mean and variance of the variable under study. A great variety of the techniques such as the ratio, product, and regression methods of estimation are commonly known in this esteem. In this paper, we propose an efficient logarithmic ratio type estimator for finite population mean estimation under simple random sampling. The expression for the bias and mean squared error (MSE) of the proposed estimator is obtained up to the first order of approximation. The conditions under which the proposed estimator is more efficient than the existing ones are established. An empirical study using three data sets is also conducted to validate the theoretical findings and the results revealed that the suggested estimator is better than the existing estimators considered in the study.


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Table 1: MSE and PRE of Proposed and Existing Estimators




How to Cite

A. Adejumobi, M. . Abiodun Yunusa, Y. . A. Erinola, and K. . Abubakar, “An Efficient Logarithmic Ratio Type Estimator of Finite Population Mean under Simple Random Sampling”, International Journal of Engineering and Applied Physics, vol. 3, no. 2, pp. 700–705, May 2023.