Some Concepts of Negative Dependence for Bivariate Distributions with Applications

Nader Asadian, Mohammad Amini, Abolghasem Bozorgnia

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.

Keywords


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

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