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A new systematic ranked set-sampling scheme for symmetric distributions

Life Cycle Reliability and Safety Engineering volume 8, pages 205–210 (2019)Cite this article

Abstract

In this paper, a new sampling scheme called systematic ranked set sampling for estimating the population mean is introduced. The performance of the proposed estimator is discussed along with its properties, and it is also shown that the new sampling scheme generates an unbiased estimator. The variance and percentage relative efficiency of the proposed estimator are computed using different symmetric distributions. It is observed from both simulation study and real data set that the new sampling scheme is more efficient than usual ranked set sampling and simple random-sampling schemes.

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Authors and Affiliations

  1. Higher Education Department, Khyber Pakhtunkhwa, Peshawar, Pakistan

    Lakhkar Khan

  2. Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan

    Javid Shabbir

  3. Department of Statistics, Abdul Wali Khan University, Mardan, Pakistan

    Umair Khalil

Authors
  1. Lakhkar Khan
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  2. Javid Shabbir
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  3. Umair Khalil
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Correspondence to Lakhkar Khan.

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Khan, L., Shabbir, J. & Khalil, U. A new systematic ranked set-sampling scheme for symmetric distributions. Life Cycle Reliab Saf Eng 8, 205–210 (2019). https://doi.org/10.1007/s41872-019-00080-5

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  • DOI: https://doi.org/10.1007/s41872-019-00080-5

Keywords

  • Ranked set sampling
  • Systematic ranked set sampling
  • Percentage relative efficiency