Some Concepts of Negative Dependence for Bivariate Distributions with Applications

Authors

  • Nader Asadian
  • Mohammad Amini
  • Abolghasem Bozorgnia

DOI:

https://doi.org/10.30495/jme.v0i0.58

Keywords:

Local dependence function, hazard negative dependence, local negative dependence, revers rule of or- der 2 (RR2), RCSD, copula function.

Abstract

In this paper, some concepts of negative dependence for bivariate distributions, especially hazard and local negative dependence (HND, LND) are studied. The Clayton-Oakes, ' and ° measures of association and relationship of HND with these measures are obtained. In addition, various examples illustrate the usefulness of these notions in some family of distributions.

Author Biographies

Nader Asadian

Department of Statistics Ordered and Spatial Data Center of Excellence Ferdowsi University P.O. Box 91775-1159 Mashhad, Iran

Mohammad Amini

Department of Statistics Ordered and Spatial Data Center of Excellence Ferdowsi University P.O. Box 91775-1159 Mashhad, Iran

Abolghasem Bozorgnia

Department of Statistics Ordered and Spatial Data Center of Excellence Ferdowsi University P.O. Box 91775-1159 Mashhad, Iran

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Published

2009-04-01

Issue

Section

Vol. 4, No. 1 (2009)