In this paper we develop a class of applied probabilistic continuous time but discretized state space decompositions of the characterization of a multivariate generalized diffusion process. This decomposition is novel and, in particular, it allows one to construct families of mimicking classes...

We develop a new class of techniques that takes a copula function and quantifies the dependence properties through a localized coefficient of dependence in the state space. Effectively we develop a numerical procedure to map any copula function to a generalized Gaussian copula function. This...