Percentile Double Ranked Set Sampling
Amer Ibrahim Al-Omari & Khalifa H. Jaber
Journal of Mathematics and Statistics, Volume 4, Issue 1, pp. 60–64 · doi.org/10.3844/jmssp.2008.60.64
Abstract
In this paper, percentile double ranked set sampling (PDRSS) method is suggested for estimating the population mean. The PDRSS method is compared with the simple random sampling (SRS), ranked set sampling (RSS), median ranked set sampling (MRSS) and the extreme ranked set sampling (ERSS) methods. When the underlying distribution is symmetric, it turns out that PDRSS produce unbiased estimators of the population mean and it is more efficient than SRS, RSS, MRSS and ERSS based on the same sample size. For asymmetric distribution considered in this study, it is shown that PDRSS has a small bias and it is more efficient than RSS, MRSS and ERSS for most cases considered in this study.
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Al-Omari, A. I. & Jaber, K. H. (2008). Percentile Double Ranked Set Sampling. Journal of Mathematics and Statistics, 4(1), 60–64. https://doi.org/10.3844/jmssp.2008.60.64
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