We systematically study pairwise counter-monotonicity, an extremal notion of negative dependence. A stochastic representation and invariance property are established for this dependence structure. show that counter-monotonicity implies association, it is equivalent to joint mix if both possible the same marginal distributions. find intimate connection between risk sharing problems quantile agen...

Abstract Effective science education draws on many different ways of teaching science. The literature documents some potential benefits argumentation instruction as a powerful tool for learning and maintaining wonder curiosity in the classroom. Unlike expository teaching, which relies teacher-driven pedagogy students accept teacher’s authority over any content to be justified priori, allows foc...

We prove that any infinite sequence of countable series-parallel orders contains an increasing (with respect to embedding) infinite subsequence. This result generalizes Laver’s and Corominas’ theorems concerning better-quasi-order of the classes of countable chains and trees. Let C be a class of structures and ≤ an order on C. This class is well-quasi-ordered with respect to ≤ if for any infini...

Sensitivity analysis of solution for variational inequalities and variational inclusions has been studied by many authors via quite different technique. See 1–7 and the reference therein . In 2004, Agarwal et al. 1 introduced and studied the following problem which is called the system of parametric generalized nonlinear mixed quasi variational inclusions. Let H be a real Hilbert space endowed ...