IMPROVEMENT ON ESTIMATING MEDIAN FOR FINITE POPULATION USING AUXILIARY VARIABLES IN DOUBLE-SAMPLING

Authors

  • Muhammad Aamir Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Ani Shabri Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Muhammad Ishaq Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan

DOI:

https://doi.org/10.11113/jt.v80.10851

Keywords:

Auxiliary variables, BIAS, median, mean square error, percentage relative efficiency

Abstract

The aim of the study is to suggest a difference-cum-ratio type of median estimator for finite population median using two-auxiliary variables in double sampling. Using simple random sampling without-replacement scheme (SRSWOR) the estimated mean square error (MSE) and BIAS are computed for the new suggested median estimator. The suggested median estimator has a smaller MSE than all other median estimators currently in practice, showing a valid contribution to the literature. In addition some members of the suggested estimator and theoretical comparison of MSE are also computed. Finally, the numerical and graphical comparison of percent relative efficiency (PRE) is also computed for five different real data sets.

Author Biographies

Muhammad Aamir, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

PhD Candidate, Mathematical Sciences Department

Ani Shabri, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

Mathematical Sciences Department, Senior Lecturer

Muhammad Ishaq, Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan

Department of Mathematics, Assistant Professor

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Published

2018-06-04

Issue

Section

Science and Engineering