Improved ratio estimators of variance based on robust measures

M. Abid*, S. Ahmad, M. Tahir, H. Zafar Nazir, M. Riaz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

This study developed some now estimators for estimating population variance by utilizing available information on midrange and an interdecile range of auxiliary variables. A general class of estimators was also suggested. The derivations of the bias and the mean squared error were presented. Conditions were determined to verify the efficiency of the proposed estimators over existing estimators considered in this study. An empirical study was also provided for illustration and verification. Moreover, a robust study was carried out to evaluate the per for ma nee of the proposed estimators in comparison to existing estimators in case of extreme values. According to the theoretical and empirical research, it. was found that the suggested estimators performed more efficiently than the exist i 11 g est i mators.

Original languageEnglish
Pages (from-to)2484-2494
Number of pages11
JournalScientia Iranica
Volume26
Issue number4 E
DOIs
StatePublished - 2019

Bibliographical note

Publisher Copyright:
©2019 Sharif University of Technology. All rights reserved.

Keywords

  • A nx i iiary variable.
  • Bias
  • Correlat ion coefficie.nl
  • Inter decile, range
  • Mean squared error
  • Mid range

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Civil and Structural Engineering
  • Materials Science (miscellaneous)
  • General Engineering
  • Mechanical Engineering
  • Physics and Astronomy (miscellaneous)
  • Industrial and Manufacturing Engineering

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