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Estimating the normal population with known coefficient of variation using the optimal ranked set sampling scheme

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Estimating the normal population with known coefficient of variation using the optimal ranked set sampling scheme
Article
journal STATISTICA & APPLICAZIONI
issue STATISTICA & APPLICAZIONI - 2012 - 1
title Estimating the normal population with known coefficient of variation using the optimal ranked set sampling scheme
authors
publisher Vita e Pensiero
format Article | Pdf
online since 01-2012
issn 18246672 (print)
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SUMMARY
In the ranked set sampling with set size equal to m, there are mm different possible sampling schemes. The aim of this paper is to characterize the optimal sampling scheme via the Fisher information numbers for normal distribution with known coefficient of variation. Moreover, we use the optimal sampling schemes to obtain unbiased estimators for the mean. Also we compare the estimators to their counterparts under the McIntyre’s ranked set sampling scheme. We show that the MLE under optimal sampling scheme is asymptotically more efficient than its counterpart under McIntyre’s RSS.
Keywords: Ranked Set Sampling, Fisher Information, Maximum Likelihood, Normal Distribution, Coefficient of Variation.