The monograph covers the work done by the author within the past 5 years. Chapter 1 introduces basic terminology of system theory and summarizes the current approaches to quantum mechanics. Chapter 2 presents the basic theory of wave probabilistic functions coming from the classical probability theory that had to be extended to cover all features of quantum instruments. The theory of wave probabilistic functions enables us to explain all of the mysterious features of quantum physics like entanglement, etc. Chapter 3 aims to apply the theory of wave probabilistic functions to the modelling of time series and dynamical systems. Chapter 4 presents system representation by a set of probabilistic multi-models selected by a designer. The problem referred to in chapter 4 is to answer the question of how the set of predefined models should be combined to capture the main features of the original system. Chapter 5 firstly summarizes the current results in the area of information physics. New parameters like wave information flow, wave knowledge content or wave information impedance are first defined and then represented by wave functions.