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|Title:||On the ranked-set sampling M-estimates for symmetric location families|
Asymptotic relative efficiency
Optimal sampling design
|Source:||Zhao, X., Chen, Z. (2002). On the ranked-set sampling M-estimates for symmetric location families. Annals of the Institute of Statistical Mathematics 54 (3) : 626-640. ScholarBank@NUS Repository. https://doi.org/10.1023/A:1022423429880|
|Abstract:||The ranked-set sampling (RSS) is applicable in practical problems where the variable of interest for an observed item is costly or time-consuming but the ranking of a set of items according to the variable can be easily done without actual measurement. In this article, the M-estimates of location parameters using RSS data are studied. We deal mainly with symmetric location families. The asymptotic properties of M-estimates based on ranked-set samples are established. The properties of unbalanced ranked-set sample M-estimates are employed to develop the methodology for determining optimal ranked-set sampling schemes. The asymptotic relative efficiencies of ranked-set sample M-estimates are investigated. Some simulation studies are reported.|
|Source Title:||Annals of the Institute of Statistical Mathematics|
|Appears in Collections:||Staff Publications|
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