Flip-flop processes refer to a family of stochastic fluid which converge either standard Brownian motion (SBM) or Markov modulated (MMBM). In recent years, it has been shown that complex distributional aspects the univariate SBM and MMBM can be studied through limiting behavior flip-flop processes. Here, we construct two classes bivariate whose marginals strongly SBMs are dependent on each othe...

We reconsider the principles of diminishing transfer (introduced by Kolm (1976)) and dual diminishing transfer (introduced by Mehran (1976)). It appears that if a Rank Dependent Expected Utility (RDEU) maximizer respects the principle of diminishing (resp. dual diminishing) transfer, then he behaves in accordance with the Expected Utility model (resp. Yaari’s dual model). This leads us to defin...

In this paper we explore the relations between the standard dual problem of a convex generalized fractional programming problem and the “partial” dual problem proposed by Barros et al. (1994). Taking into account the similarities between these dual problems and using basic duality results we propose a new algorithm to directly solve the standard dual of a convex generalized fractional programmi...