Efficient Estimation of Population Median Using Supplementary Variable

Document Type : Article

Authors

1 Department of Statistics, University of Peshawar, Peshawar Department of Statistics, University of Peshawar, Peshawar

2 Department of Statistics, University of Peshawar,

3 Quaid-i-Azam University

4 QAU Department of Statistics Islamabad

5 Department of Statistics, Quaid-i- Azam University, Islamabad

Abstract

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.

Keywords