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A new ranked set sample estimator of variance

Steven N. MacEachern, Ömer Öztürk, Douglas A. Wolfe, Gregory V. Stark

Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 2002 · Volume 64 · Issue 2

DOI: 10.1111/1467-9868.00331

Abstract

Summary.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.

Keywords

Judgment order statistic, Judgment stratified sampling, Relative efficiency, Unbiasedness

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