An Efficient Exponential Estimator of Population Mean in the Presence of Median of the Study Variable

Authors

  • Awwal Adejumobi Department of Mathematics, Kebbi State University of Science and Technology, Aliero-Nigeria.
  • Mojeed Abiodun Yunusa Department of Statistics, Usmanu Danfodiyo University, Sokoto-Nigeria.

DOI:

https://doi.org/10.5281/zenodo.7607094

Keywords:

Bias, Median, Mean Square Error, Percentage Relative Efficiency

Abstract

Survey sampling practitioners have been working on efficiency improvement and bias reduction in finite population parameter estimation. We proposed an exponential estimator of population mean in the presence of median of study variable. The bias and mean square error of the proposed estimator were obtained using Taylor series method. The relative performance of the proposed estimators with respect to conventional and some existing estimators were assessed using three (3) natural dataset information. The novel median based estimator perform better than the conventional, usual mean, ratio, regression and other existing estimators considered in the study have been established. The empirical results shown that the proposed estimator is more efficient than the conventional and some existing estimators considered in the study.

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Published

2023-01-06

How to Cite

Awwal Adejumobi, & Mojeed Abiodun Yunusa. (2023). An Efficient Exponential Estimator of Population Mean in the Presence of Median of the Study Variable. LC International Journal of STEM (ISSN: 2708-7123), 3(4), 25-39. https://doi.org/10.5281/zenodo.7607094