Some Concepts of Negative Dependence for Bivariate Distributions with Applications

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