A connection between supermodular ordering and positive/negative association

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On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models (2014, background): “Hu (2000) posed an open problem whether NA implies NSD. Christofides and Vaggelatou (2004) solved this open problem and indicated that NA implies NSD.”
Actuarial Theory for Dependent Risks: Measures, Orders and Models (2005, background): “6, Christofides and Vaggelatou (2004) show that an appropriate choice for C− is the independence copula CI .”
Association and heterogeneity of insured lifetimes in the Lee–Carter framework (2007, background): “This is a direct consequence of Corollary 1(a) in Christophides & Vaggelatou ( 2004 ).”
Comparison of multivariate risks and positive dependence (2004, methodology): “(a) Corollary 2.1 is due to Christofides and Vaggelatou [5] under the assumption of weak association.”
Complete convergence for weighted sums of NSD random variables and its application in the EV regression model (2014, background): “Christofides and Vaggelatou (2004) solved this open problem and indicated that NA implies NSD. Negatively superadditive-dependent structure is an extension of negatively associated structure and sometimes more useful than it and can be used to get many important probability inequalities and moment…”