Efficient estimation of population median using supplementary variable

Document Type : Article

Authors

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

2 Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan

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

References

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Scientia Iranica
Volume 29, Issue 1
Transactions on Industrial Engineering (E)
January and February 2022
Pages 265-274

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History

  • Receive Date: 05 February 2019
  • Revise Date: 22 January 2020
  • Accept Date: 30 May 2020

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