Counting Statistics for Dependent Random Events. With a focus on Finance.

This book concludes six years of original research at the University of Bologna on probabilistic problems involving the interaction of the dependence structure and the combinatoric-based algorithms. The problem tackled arises directly from applications where we frequently confronted with problems linked to a counting variable that monitors a random event. As for example in credit applications we may imagine to control the defaults attaching a portfolio of loans or in insurance to monitor the claims' arrival in order to detect the right level of risk supported by the company.