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Open AccessArticle10.22237/jmasm/1241137380

Some Estimators for the Population Mean Using Auxiliary Information Under Ranked Set Sampling

Walid Abu‐Dayyeh,Shakeel Ahmed,R. A. Ahmed,Hassen A. Muttlak-2009-05-01-Journal of Modern Applied Statistical Methods

TL;DRAbstract

Auxiliary information is used along with ranking information to derive several classes of estimators to estimate the population mean of a variable of interest based on RSS (ranked set sample). The properties of these newly suggested estimators were examined. Comparisons between special cases of these estimators and other known estimators are made using a real data set. Some of the new estimators are superior to the old ones in terms of bias and mean square error.

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Auxiliary information is used along with ranking information to derive several classes of estimators to estimate the population mean of a variable of interest based on RSS (ranked set sample). The properties of these newly suggested estimators were examined. Comparisons between special cases of these estimators and other known estimators are made using a real data set. Some of the new estimators are superior to the old ones in terms of bias and mean square error.

Keywords

EstimatorMathematicsPopulation meanRSSStatisticsRanking (information retrieval)Mean squared errorExtremum estimator

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