Median Double Ranked Set Sampling Method

Nuran Medhat Al-Mawan; El-Houssainy Rady; Nasr Rashwan

doi:10.24297/jam.v14i1.7173

Authors

Nuran Medhat Al-Mawan Department of Basic Science, Faculty of Engineering, Modern Academy, Cairo, EgyptCairo University
El-Houssainy Rady Cairo University
Nasr Rashwan Cairo University

DOI:

https://doi.org/10.24297/jam.v14i1.7173

Keywords:

Ranked set sampling, Median ranked set sampling, Double ranked set sampling, Relative precision

Abstract

In environmental monitoring and assessment, the main focus is to achieve observational economy and to collect data with unbiased, efficient and cost-effective sampling methods. Ranked set sampling (RSS) is one traditional method that is mostly used for accomplishing observational economy. In this article, we suggested new sampling method called median double ranked set sampling (MDRSS). The newly suggested sampling method MDRSS is compare to the simple random sampling (SRS), RSS, double ranked set sampling (DRSS), median ranked set sampling (MRSS). When the underlying distributions are symmetric and asymmetric, it is shown that, the variance of the mean estimator under MDRSS is always less than the variance of the mean estimator based on SRS and the other methods.

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Author Biographies

Nuran Medhat Al-Mawan, Department of Basic Science, Faculty of Engineering, Modern Academy, Cairo, EgyptCairo University

Department of Applied Statistics and Econometric, Institute of Statistical Studies and Research, Cairo University, Cairo, Egypt.

Department of Basic Science, Faculty of Engineering, Modern Academy, Cairo, Egypt

El-Houssainy Rady, Cairo University

Department of Applied Statistics and Econometric, Institute of Statistical Studies and Research, Cairo University, Cairo, Egypt.

Nasr Rashwan, Cairo University

Department of Applied Statistics and Econometric, Institute of Statistical Studies and Research, Cairo University, Cairo, Egypt.

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