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Efficient class of ratio cum median estimators for estimating the population median

Author

Listed:
  • Mir Subzar
  • Showkat Ahmad Lone
  • Emmanuel J Ekpenyong
  • Abdul Salam
  • Muhammad Aslam
  • T A Raja
  • Salmeh A Almutlak

Abstract

In estimation theory, the use of auxiliary information significantly improves precision while estimating population parameters. In this paper, an efficient class of ratio cum median estimators of the population median is suggested using simple random sampling without replacement. The expressions for bias and mean square error of the proposed class are derived theoretically. The condition for the asymptotic optimum estimator is obtained with its bias and mean square error expressions. Under certain realistic conditions, the asymptotic optimum estimator is more proficient, based on analytical and numerical comparisons with some existing estimators that are members of the suggested class of estimators. The superiority of the proposed ratio cum median estimators is shown through real data applications. Such a new proposed estimator will be useful in the future for data analysis and making decisions.

Suggested Citation

  • Mir Subzar & Showkat Ahmad Lone & Emmanuel J Ekpenyong & Abdul Salam & Muhammad Aslam & T A Raja & Salmeh A Almutlak, 2023. "Efficient class of ratio cum median estimators for estimating the population median," PLOS ONE, Public Library of Science, vol. 18(2), pages 1-14, February.
    • Handle: RePEc:plo:pone00:0274690
    DOI: 10.1371/journal.pone.0274690
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    References listed on IDEAS

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    1. Muhammad Irfan & Maria Javed & Sandile C. Shongwe & Muhammad Zohaib & Sajjad Haider Bhatti, 2021. "Estimation of Population Median under Robust Measures of an Auxiliary Variable," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-14, September.
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