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All India Institute of Speech and Hearing, Mysuru
(An Autonomous institute Under Ministry of Health and Family Welfare, Government of India.)

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Estimation of the Population Mean Using Paired Ranked Set Sampling

By: Contributor(s): Material type: ArticleSeries: ; Volume 5 Issue 2Publication details: 2015Description: 97-103ISSN:
  • 2161-7198
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In: Open Journal of StatisticsSummary: In the situation where the sampling units in a study can be easily ranked than quantified, the ranked set sampling methods are found to be more efficient and cost effective as compared to SRS. In this paper we propose an estimator of the population mean using paired ranked set sampling (RSS) method. The proposed estimator is an unbiased estimator of the population mean when the set size is even. In case of odd set size the estimator is unbiased when the underlying distribution is symmetric. It is shown that the proposed estimator is more efficient than its counterpart SRS method for all distributions considered in this study.
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In the situation where the sampling units in a study can be easily ranked than quantified, the ranked set sampling methods are found to be more efficient and cost effective as compared to SRS. In this paper we propose an estimator of the population mean using paired ranked set sampling (RSS) method. The proposed estimator is an unbiased estimator of the population mean when the set size is even. In case of odd set size the estimator is unbiased when the underlying distribution is symmetric. It is shown that the proposed estimator is more efficient than its counterpart SRS method for all distributions considered in this study.

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