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The efficiency of L ranked set sampling in estimating the distribution function

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Abstract

In this paper, L ranked set sampling (LRSS) technique (Al-Nasser in Simul Comput, 6:33–43, 2007) is considered for estimating the distribution function of a random variable. The suggested estimator of the distribution function is compared with its counterparts using simple random sampling (SRS) and ranked set sampling (RSS) schemes. It is found that the suggested LRSS estimator of the distribution function is biased and is more efficient than that of the SRS and RSS for a given \(x\) based on the number of measured units.

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Acknowledgments

The author is thankful to the editor and the anonymous reviewers for their valuable comments and suggestions that significantly improved the original version of the article.

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  1. Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan

    Amer Ibrahim Al-Omari

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  1. Amer Ibrahim Al-Omari
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Correspondence to Amer Ibrahim Al-Omari.

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Al-Omari, A.I. The efficiency of L ranked set sampling in estimating the distribution function. Afr. Mat. 26, 1457–1466 (2015). https://doi.org/10.1007/s13370-014-0298-z

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  • DOI: https://doi.org/10.1007/s13370-014-0298-z

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