A new ranked set sample estimator of variance

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Abstract

We develop an unbiased estimator of the variance of a population based on a ranked set sample. We show that this new estimator is better than estimating the variance based on a simple random sample and more efficient than the estimator based on a ranked set sample proposed by Stokes. Also, a test to determine the effectiveness of the judgment ordering process is proposed.

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MacEachern, S. N., Öztürk, Ö., Wolfe, D. A., & Stark, G. V. (2002). A new ranked set sample estimator of variance. Journal of the Royal Statistical Society. Series B: Statistical Methodology, 64(2), 177–188. https://doi.org/10.1111/1467-9868.00331

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