Risk Theory

Definition of the notion of premium of an insurance policy and introduction of different methods for computing the premium, including the stop-loss reinsurance. Construction of individual and collective risk models for the aggregate loss of a portfolio of insurance policies when the number of claim of claims in known or unknown respectively, including the convolution formula, or by using moment generating function, introduction of computational methods of approximation including the normal and the normal power methods. Introduction to variant methods to generate new distributions from known ones, including scalar multiplication, power, exponentiation and limiting distributions.