Sharif University of Technology Scientia Iranica 1026-3098 29 1 2022 02 01 Efficient estimation of population median using supplementary variable 265 274 21819 10.24200/sci.2020.52871.2924 EN S. Muneer Department of Statistics, University of Peshawar, Peshawar, Pakistan 0000-0002-2713-379X A. Khalil Department of Statistics, University of Peshawar, Peshawar, Pakistan J. Shabbir Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan Gh. Narjis Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan Journal Article 2019 02 05 In this paper, we propose an exponential cum ratio-product type estimators for population median (M_y) under simple random sampling scheme (SRS). The expressions of bias and mean square error (MSE) are obtained up to first order of approximation. The proposed estimators is more efficient as compared to all other considered estimators under certain conditions. Both numerical and simulation studies show that the proposed estimators perform better as compared to all other considered estimators. Four real data sets and simulation studies are carried out to observe the performances of the estimators. It is observed that the proposed estimators is perform more efficient in all situations. https://scientiairanica.sharif.edu/article_21819_0c5b708a7ae3f0df5d53aea5d67c4d59.pdf