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頁籤選單縮合
題名 | The Optimal Ranked-Set Sampling Scheme for Inference on Population Quantiles |
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作者 | Chen,Zehua; | 書刊名 | Statistica Sinica |
卷期 | 11:1 2001.01[民90.01] |
頁次 | 頁23-37 |
分類號 | 319.5 |
關鍵詞 | 排序子集抽樣; 分位數; Asymptotic normality; Bahadur representation; Optimal sampling design; Quantile; Ranked-set sampling; |
語文 | 英文(English) |
英文摘要 | 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. |
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