Research topics
Probabilistic and Statistical topics of my past and recent researches are:
· Study of Stochastic Differential Equations eventually constrained by boundaries;
· Diffusion approximations of Multivariate Markov processes and of their first Passage times;
· Space time transformations between diffusion processes ;
· Development of statistical method to detect dependencies between point processes;
· Use of the copulas in networks modeling;
· Numerical methods for the solution of stochastic differential equations and of the study of their functional (survival times, first passage times,…);
· Direct and inverse first passage time (one-dimensional or two dimensional; single boundary or exit from a strip);
· Estimation problem for the parameters of diffusion processes constrained by boundaries;
· Branching processes, their continuous limits and their fractional extensions;
· Neuronal models and neural network models;
· Models for the atomic clock error
· Information measures and their estimators.