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Title: On the ranked-set sampling M-estimates for symmetric location families
Authors: Zhao, X.
Chen, Z. 
Keywords: Asymptotic normality
Asymptotic relative efficiency
Optimal sampling design
Ranked-set sampling
Issue Date: 2002
Citation: 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.
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
ISSN: 00203157
DOI: 10.1023/A:1022423429880
Appears in Collections:Staff Publications

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