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Estimation of finite population distribution function with dual use of auxiliary information under non-response

Author

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  • Sardar Hussain
  • Sohaib Ahmad
  • Sohail Akhtar
  • Amara Javed
  • Uzma Yasmeen

Abstract

In this paper, we propose two new families of estimators for estimating the finite population distribution function in the presence of non-response under simple random sampling. The proposed estimators require information on the sample distribution functions of the study and auxiliary variables, and additional information on either sample mean or ranks of the auxiliary variable. We considered two situations of non-response (i) non-response on both study and auxiliary variables, (ii) non-response occurs only on the study variable. The performance of the proposed estimators are compared with the existing estimators available in the literature, both theoretically and numerically. It is also observed that proposed estimators are more precise than the adapted distribution function estimators in terms of the percentage relative efficiency.

Suggested Citation

  • Sardar Hussain & Sohaib Ahmad & Sohail Akhtar & Amara Javed & Uzma Yasmeen, 2020. "Estimation of finite population distribution function with dual use of auxiliary information under non-response," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-24, December.
    • Handle: RePEc:plo:pone00:0243584
    DOI: 10.1371/journal.pone.0243584
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    References listed on IDEAS

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    1. R. R. Sinha & B. B. Khare, 2011. "Estimation of population mean using multi-auxiliary characters with subsampling the nonrespondents," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 12(1), pages 45-56, August.
    2. Siraj Muneer & Javid Shabbir & Alamgir Khalil, 2017. "Estimation of finite population mean in simple random sampling and stratified random sampling using two auxiliary variables," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(5), pages 2181-2192, March.
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