A risk theory based on hyperbolic parallel curves and risk assessment in time

The work deals with the risk assessment theory. An unitary risk algorithm is elaborated. This algorithm is based on parallel curves. The basic risk curve is of hyperbolic type, obtained as a multiplication between the probability of occurrence of certain event and its impact (expected loss). Section I refers the problem formulation. Section 2 contains some specific notations and the mathematical background of risk algorithm. A numerical application based on risk algorithm is presented in section 3. Risk evolution in time is described in section 4. A generalization of the curve of risk and other possibilities to define the risk measure are given in the last part of the work.