Generalized robust-regression-type estimators under different ranked set sampling

Abstract

In this paper, we have proposed a new generalized robust estimators of population mean under different ranked set sampling. Robust estimators are recently defined by Zaman and Bulut (Commun Stat Theory Methods 48(8):2039–2048, 2019a) and Ali et al. (Commun Stat Theory Methods, 2019. https://doi.org/10.1080/03610926.2019.1645857) under simple random sampling. We have generalized robust-type estimators where Zaman and Bulut (2019a) and Ali et al. (2019) estimators are members of our generalized estimator. We have also extended our results to ranked set and median ranked set sampling designs. The simulation study showed that our proposed robust-type estimator performs better.

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Correspondence to Nursel Koyuncu.

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Koyuncu, N., Al-Omari, A.I. Generalized robust-regression-type estimators under different ranked set sampling. Math Sci (2020). https://doi.org/10.1007/s40096-020-00360-7

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Keywords

  • Ratio-type estimators
  • Regression-type estimators
  • Robust regression methods
  • Ranked set sampling
  • Median ranked set sampling

Mathematics Subject Classification

  • 62D05
  • 62F35