Quantile estimation from ranked set sampling data
Description
We consider estimation of quantiles when data are generated from ranked set sampling. A new estimator is proposed and is shown to have a smaller asymptotic variance for all distributions. It is also shown that the optimal sampling strategy is to select observations with one fixed rank from different ranked sets. Both the optimal rank and the relative efficiency gain with respect to simple random sampling are distribution-free and depend on the set size and the given probability only. In the case of median estimation, it is analytically shown that the optimal design is to select the median from each ranked set.
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| ID Code: | 180516 | ||||
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| Item Type: | Contribution to Journal (Journal Article) | ||||
| Refereed: | Yes | ||||
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| Measurements or Duration: | 10 pages | ||||
| Keywords: | Asymptotic variance, Efficiency, Optimal design, Quantile estimation, Ranked set sampling | ||||
| ISSN: | 0972-7671 | ||||
| Pure ID: | 42595676 | ||||
| Divisions: | Past > QUT Faculties & Divisions > QUT Business School Past > QUT Faculties & Divisions > Science & Engineering Faculty ?? 3232 ?? Current > Schools > School of Economics & Finance |
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| Copyright Owner: | Consult author(s) regarding copyright matters | ||||
| Copyright Statement: | This work is covered by copyright. Unless the document is being made available under a Creative Commons Licence, you must assume that re-use is limited to personal use and that permission from the copyright owner must be obtained for all other uses. If the document is available under a Creative Commons License (or other specified license) then refer to the Licence for details of permitted re-use. It is a condition of access that users recognise and abide by the legal requirements associated with these rights. If you believe that this work infringes copyright please provide details by email to qut.copyright@qut.edu.au | ||||
| Deposited On: | 20 Feb 2020 09:16 | ||||
| Last Modified: | 03 Mar 2024 17:18 |
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