Title of article :
Sampling of Multiple Variables Based on Partially Ordered Set Theory
Author/Authors :
Panahbehagh, Bardia Department of Mathematics - Faculty of Mathematical Sciences and Computer - Kharazmi University, Tehran, Iran , Bruggemann, , Rainer Leibniz-Institute of Freshwater Ecology and Inland Fisheries, Berlin, Germany , Salehi, Mohammad Department of Mathematics - Statistics and Physics - Qatar University, Qatar
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 :
Environmental Pollution , Linear Extension , Medicinal Use of Flowers , Multiple Variables Ranked Set Sampling , Theory
Journal title :
Journal of the Iranian Statistical Society (JIRSS)
