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

Name: Estimating the normal population with known coefficient of variation using the optimal ranked set sampling scheme
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

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

Authors

Mohd T. Alodat, D.A. Omari

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Online from

01-2012

Issn

1824-6672 (print) | 2283-6659 (digital)

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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.

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