Summary |
This monograph can be described as being devoted to modern risk theory. It is modern in two ways. First, it concentrates on topics added to risk theory in this century. Second, it is modern in the sense that several important results, which originally were achieved by the application of advanced mathematics in a series of intricate steps, now are established using more accessible intellectual tools.
According to the mathematical tools used, this text can be divided into three groups:
In Group 1, where only one point in time is considered, distribution theory is the prerequisite. For the dynamic models of Group 2 a knowledge of stochastic processes is needed. Group 3 is about applications of martingales in risk theory.
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