A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN

Abstract

a scheme various existing ranked set sampling schemes are combined in order to minimizing the error ofranking and cost of sampling. It is shown that the sample weighted mean of the proposed scheme is moreefficient than simple random sample mean. Also, assuming the underlying distribution is normal, the existenceand uniqueness of maximum likelihood estimator of the location parameter are investigated. The pairwiserelative precisions of the derived estimators are compared using simulation and numerical computations. Itis concluded that a combination of existing sampling schemes may be considered as a good suggestion withrather high efficiency. A cost analysis is also performed. Some conclusions are eventually stated

Keywords

• Cost analysis, Maximum likelihood estimator, Normal distribution, Order statistics, Rankingerror

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