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Title: The optimal ranked-set sampling scheme for inference on population quantiles
Authors: Chen, Z. 
Keywords: Asymptotic normality
Bahadur representation
Optimal sampling design
Ranked-set sampling
Issue Date: Jan-2001
Citation: Chen, Z. (2001-01). The optimal ranked-set sampling scheme for inference on population quantiles. Statistica Sinica 11 (1) : 23-37. ScholarBank@NUS Repository.
Abstract: In this article, we consider the design of unbalanced ranked-set sampling in order to achieve certain optimality for inference on quantiles. We first derive the asymptotic properties of the unbalanced ranked-set sample quantiles for any unbalanced ranked-set sampling scheme. Then these properties are employed to develop a methodology for determining optimal ranked-set sampling schemes. In the case of inference on a single quantile, the optimal scheme results in an estimator of the quantile which is asymptotically unbiased and with minimum variance among all ranked-set sample (balanced or unbalanced) quantiles. The striking feature of the methodology is that it is distribution-free. The optimal schemes for inference on certain quantiles are computed. Some simulation studies are reported.
Source Title: Statistica Sinica
ISSN: 10170405
Appears in Collections:Staff Publications

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