Journal of the Iranian Statistical Society

Sampling of Multiple Variables Based on Partially Ordered Set Theory

Authors

1 Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran

2 Leibniz-Institute of Freshwater Ecology and Inland Fisheries, Berlin, Germany

3 Department of Mathematics, Statistics and Physics, Qatar University, P. O. Box 2713, Doha, Qatar

10.52547/jirss.20.1.307

Abstract

We introduce a new method for ranked set sampling with multiple criteria. The method relaxes the restriction of selecting just one individual variable from each ranked set. Under the new method for ranking, units are ranked in sets based on linear extensions in partially order set theory with considering all variables simultaneously. Results willbe evaluated by a relatively extensive simulation studies on Bivariate normal distribution and two real case studies on commercial and medicinal use of flowers, and the pollution of herb-layer by Lead, Cadmium, Zinc and Sulfur in some regions of the southwest of Germany.

Keywords

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Journal of the Iranian Statistical Society
Volume 20, Issue 1
June 2021
Pages 307-331
  • Receive Date: 23 July 2022
  • Revise Date: 19 May 2024
  • Accept Date: 23 July 2022