• 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

  • Pages
    25
  • From page
    307
  • To page
    331
  • 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)
  • Serial Year
    2021
  • Record number

    2687482