Selected Ranked Set Sampling

Hossain, Syed and Muttlak, H. 2001, Selected Ranked Set Sampling, Australian & New Zealand journal of statistics, vol. 43, no. 3, pp. 311-325, doi: 10.1111/1467-842X.00178.

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Title Selected Ranked Set Sampling
Author(s) Hossain, Syed
Muttlak, H.
Journal name Australian & New Zealand journal of statistics
Volume number 43
Issue number 3
Start page 311
End page 325
Publisher Wiley-Blackwell Publishing Asia
Place of publication Richmond, Vic.
Publication date 2001
ISSN 1369-1473
Keyword(s) errors in ranking
location and scale parameters
minimum variance linear unbiased estimator
Summary This paper proposes a sampling procedure called selected ranked set sampling (SRSS), in which only selected observations from a ranked set sample (RSS) are measured. This paper describes the optimal linear estimation of location and scale parameters based on SRSS, and for some distributions it presents the required tables for optimal selections. For these distributions, the optimal SRSS estimators are compared with the other popular simple random sample (SRS) and RSS estimators. In every situation the estimators based on SRSS are found advantageous at least in some respect, compared to those obtained from SRS or RSS. The SRSS method with errors in ranking is also described. The relative precision of the estimator of the population mean is investigated for different degrees of correlations between the actual and erroneous ranking. The paper reports the minimum value of the correlation coefficient between the actual and the erroneous ranking required for achieving better precision with respect to the usual SRS estimator and with respect to the RSS estimator.
Language eng
DOI 10.1111/1467-842X.00178
Field of Research 010401 Applied Statistics
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2010, Australian Statistical Publishing Association Inc.
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