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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
Research Article Open Access

On the Mean Estimation using Stratified Double Median Ranked Set Sampling

Mahmoud Ibrahim Syam1, Amer Ibrahim Al-Omari2 and Kamarulzaman Ibrahim3
  • 1 Department of Mathematics, Al Al-Bayt University, Jordan
  • 2 University Kebangsaan Malaysia, Malaysia
  • 3 School of Mathematical Sciences, University Kebangsaan Malaysia, Jordan

Abstract

Stratified Double Median Ranked Set Sampling (SDMRSS) method is suggested for estimating the population mean. The SDMRSS is compared with the Simple Random Sampling (SRS), Stratified Simple Random Sampling (SSRS) and Stratified Ranked Set Sampling (SRSS) methods. It is shown that SDMRSS estimator is an unbiased of the population mean and is more efficient than the SRS, SSRS and SRSS counterparts. Also, SDMRSS increase the efficiency of mean estimation for specific value of the sample size. The SDMRSS is applied on real data set.

American Journal of Applied Sciences
Volume 14 No. 4, 2017, 496-502

DOI: https://doi.org/10.3844/ajassp.2017.496.502

Submitted On: 16 March 2014 Published On: 12 April 2017

How to Cite: Syam, M. I., Al-Omari, A. I. & Ibrahim, K. (2017). On the Mean Estimation using Stratified Double Median Ranked Set Sampling. American Journal of Applied Sciences, 14(4), 496-502. https://doi.org/10.3844/ajassp.2017.496.502

Open AccessCopyright: © 2017 Mahmoud Ibrahim Syam, Amer Ibrahim Al-Omari and Kamarulzaman Ibrahim. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Ranked Set Sampling
  • Double Ranked Set Sampling
  • Median Ranked Set Sampling
  • Mean
  • Efficiency