A Generalization of the bounds of copulas on quantum logic

  • Authors

    • Ahmed Al-Adilee
    • Sami Kadhem Kareem Althabhaw
    2018-12-09
    https://doi.org/10.14419/ijet.v7i4.36.24537
  • Frechet, boundary, copulas.

  • Our   paper is concerned with a generalization of the boundaries of copula that are well-known by Frechet-Hoeffding conditions [4], and study copula boundaries as functions defined on quantum logic ., While  there are many  properties that have been presented according to our proposed generalization throughout these modified functions and show that some important propositions that have different forms to those of classical copulas. Indeed, it has been shown two main results relevant to the lower and upper boundaries of what we have defined and named by quantum logic copulas, see [1].

     

     

  • References

    1. [1] Aladilee A & Nanasiova O, “Copula and s-map on quantum logicâ€, inf. sci., Vol.179, (2009), pp.4199-4207.

      [2] Fodor J.C, “t-norms and generalized copulaâ€, Computing center, Eotvos Lor and Univ., Vol.152, (2005), pp.2203-2208.

      [3] Kalmbach G, Orthomodular Lattices, Academic Press, London, (1983).

      [4] Nelsen RB, An introduction to copulas, Springer-New York, (2006).

      [5] Nelsen RB, “On measures of association as measures of positive dependenceâ€, Statist. Probab. Lett., Vol.14, (1992), pp.269-274.

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  • How to Cite

    Al-Adilee, A., & Kadhem Kareem Althabhaw, S. (2018). A Generalization of the bounds of copulas on quantum logic. International Journal of Engineering & Technology, 7(4.36), 810-812. https://doi.org/10.14419/ijet.v7i4.36.24537