Quartile Double Rankled Set Sampling for Estimating the Population Mean

Al-Omari Amer Ibrahim and Al-Saleh Mohammad Fraiwan
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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

Stochastics and Quality Control, 2009, vol. 24, issue 2, 243-253

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.

Keywords: Simple random sampling; quartile; estimation; symmetric distribution; ranked set sampling (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1515/EQC.2009.243

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