RT journal article T1 Weak Dependence Notions and Their Mutual Relationships A1 Navarro, Jorge A1 Pellerey, Franco A1 Sordo Díaz, Miguel Ángel A2 Estadística e Investigación Operativa K1 dependence notions K1 stochastic orders K1 copulas K1 total positivity AB New weak notions of positive dependence between the components X and Y of a random pair (X,Y) have been considered in recent papers that deal with the effects of dependence on conditional residual lifetimes and conditional inactivity times. The purpose of this paper is to provide a structured framework for the definition and description of these notions, and other new ones, and to describe their mutual relationships. An exhaustive review of some well-know notions of dependence, with a complete description of the equivalent definitions and reciprocal relationships, some of them expressed in terms of the properties of the copula or survival copula of (X,Y), is also provided. PB MDPI SN 2227-7390 YR 2021 FD 2021-01 LK http://hdl.handle.net/10498/24449 UL http://hdl.handle.net/10498/24449 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026