D.A. Omari
Author's books
Increasing the efficiency of ranked set sampling
via visual grouping with respect to a threshold
digital
format:
Article
| STATISTICA & APPLICAZIONI - 2019 - 1
Article
| STATISTICA & APPLICAZIONI - 2019 - 1
Year:
2019
In this paper, a new sampling technique is proposed that carries more information than contained in ranked set sample (RSS). The proposed sampling technique is defined by making the use for the idea of visual grouping of population units with respect to a fixed threshold and RSS. We refer to it as RSS-Grouping technique. Under the best informative RSS-Grouping technique, the maximum likelihood estimator (MLE) of the mean of an exponential distribution is derived...
Estimating the normal population with known coefficient of variation using the optimal ranked set sampling scheme
Free
digital
format:
Article
| STATISTICA & APPLICAZIONI - 2012 - 1
Article
| STATISTICA & APPLICAZIONI - 2012 - 1
Year:
2012
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.
