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Quartile Double Rankled Set Sampling for Estimating the Population Mean

Author

Listed:
  • Al-Omari Amer Ibrahim

    (Department of Mathematics, Faculty of Science, Al al-Bayt University, Jordan. alomari_amer@yahoo.com)

  • Al-Saleh Mohammad Fraiwan

    (Department of Mathematics, College of Science, University of Sharjah, United Arab Emirates. malsaleh@sharjah.ac.ae)

Abstract

Quartile Double Ranked Set Sampling (QDRSS) is investigated for estimating the population mean. The QDRSS estimators are compared to the simple random sampling (SRS), ranked set sampling (RSS) and quartile ranked set sampling (QRSS) estimators. It is shown that, the QDRSS estimators are unbiased for the population mean when the underlying distribution is symmetric, and have small biases when the underlying distribution is asymmetric. It turns out that the QDRSS is superior to the SRS, RSS and QRSS based on the same number of measured units. A real data set of “trees' olive yields” is used to illustrate the method.

Suggested Citation

  • Al-Omari Amer Ibrahim & Al-Saleh Mohammad Fraiwan, 2009. "Quartile Double Rankled Set Sampling for Estimating the Population Mean," Stochastics and Quality Control, De Gruyter, vol. 24(2), pages 243-253, January.
    • Handle: RePEc:bpj:ecqcon:v:24:y:2009:i:2:p:243-253:n:7
    DOI: 10.1515/EQC.2009.243
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    Cited by:

    1. Amer Ibrahim Al-Omari & Abdul Haq, 2012. "Improved quality control charts for monitoring the process mean, using double-ranked set sampling methods," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(4), pages 745-763, August.

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