Estimation of the Population Mean Using Paired Ranked Set Sampling

B. S. Biradar¹, C. D. Santosha²

¹Department of Studies in Statistics, University of Mysore, Mysore, India.
²All India Institute of Speech and Hearing, Mysore, India.

DOI: 10.4236/ojs.2015.52012                

Abstract

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.

Keywords

Ranked Set Sampling, Paired Ranked Set Sampling, Population Mean, Relative Efficiency, Errors in Ranking

Conflicts of Interest

The authors declare no conflicts of interest.

References

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