Statistics of continuous trajectories and the interpretation of quantum mechanics

First a short review of the generalized formulation of Quantum Mechanics based on the ideas of effect and operation is given and its justification in the framework of a realistic theory of measurement discussed. Then an account is presented of the formalism of the Operation Valued Stochastic Processes which has been recently developed for treating observations having as outcome the complete story of a set of quantities in a given time interval. Finally the possible relevance is considered of the new formalism for an understanding of the classic level of description of the physical world, and so for the interpretation of Quantum Mechanics in itself. In this last context the obviously unrealistic but already sufficiently interesting model is presented of an universe completely described in terms of a single scalar field. (author)