Journal of Mathematics and Statistics

Percentile Double Ranked Set Sampling

Amer Ibrahim Al-Omari and Khalifa H. Jaber

DOI : 10.3844/jmssp.2008.60.64

Journal of Mathematics and Statistics

Volume 4, Issue 1

Pages 60-64

Abstract

In this paper, percentile double ranked set sampling (PDRSS) method is suggested for estimating the population mean. The PDRSS method is compared with the simple random sampling (SRS), ranked set sampling (RSS), median ranked set sampling (MRSS) and the extreme ranked set sampling (ERSS) methods. When the underlying distribution is symmetric, it turns out that PDRSS produce unbiased estimators of the population mean and it is more efficient than SRS, RSS, MRSS and ERSS based on the same sample size. For asymmetric distribution considered in this study, it is shown that PDRSS has a small bias and it is more efficient than RSS, MRSS and ERSS for most cases considered in this study.

Copyright

© 2008 Amer Ibrahim Al-Omari and Khalifa H. Jaber. 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.