Starting with the Aalen （1989） version of Cox （1972） ＇regression model＇ we show the method for construction of ＂any＂ joint survival function given marginal survival functions. Basically, however, we restrict o...Starting with the Aalen （1989） version of Cox （1972） ＇regression model＇ we show the method for construction of ＂any＂ joint survival function given marginal survival functions. Basically, however, we restrict ourselves to model positive stochastic dependences only with the general assumption that the underlying two marginal random variables are centered on the set of nonnegative real values. With only these assumptions we obtain nice general characterization of bivariate probability distributions that may play similar role as the copula methodology. Examples of reliability and biomedical applications are given.展开更多
In this paper,we are concerned with a weak(pessimistic)nonlinear bilevel optimization problem.In a sequential setting,for such a problem,we provide sufficient conditions ensuring the existence of solutions via a regul...In this paper,we are concerned with a weak(pessimistic)nonlinear bilevel optimization problem.In a sequential setting,for such a problem,we provide sufficient conditions ensuring the existence of solutions via a regularization and the notion of variational convergence.Unlike the approaches adopted by Aboussoror and Loridan(J Math Anal Appl 254:348-357,2001)and Aboussoror(Adv Math Res 1:83-92,2002),our approach does not require convexity assumptions and gives an extension from the finite dimensional case to a general topological one.Moreover,it gives an improvement of the result given by Loridan and Morgan(in:Buhler et al.(ed)Operations Research Proceedings of the international Conference on Operations Research 90 in Vienna,Springer Verlag,Berlin 1992).展开更多
文摘Starting with the Aalen （1989） version of Cox （1972） ＇regression model＇ we show the method for construction of ＂any＂ joint survival function given marginal survival functions. Basically, however, we restrict ourselves to model positive stochastic dependences only with the general assumption that the underlying two marginal random variables are centered on the set of nonnegative real values. With only these assumptions we obtain nice general characterization of bivariate probability distributions that may play similar role as the copula methodology. Examples of reliability and biomedical applications are given.
文摘In this paper,we are concerned with a weak(pessimistic)nonlinear bilevel optimization problem.In a sequential setting,for such a problem,we provide sufficient conditions ensuring the existence of solutions via a regularization and the notion of variational convergence.Unlike the approaches adopted by Aboussoror and Loridan(J Math Anal Appl 254:348-357,2001)and Aboussoror(Adv Math Res 1:83-92,2002),our approach does not require convexity assumptions and gives an extension from the finite dimensional case to a general topological one.Moreover,it gives an improvement of the result given by Loridan and Morgan(in:Buhler et al.(ed)Operations Research Proceedings of the international Conference on Operations Research 90 in Vienna,Springer Verlag,Berlin 1992).
