Modern economic theory views a corporation as a complex collection of contracts between management, debtholders, and shareholders. To control risk shifting, in practice indenture provisions are frequently embedded in these contracts but are assumed away in many theoretical economic models. This...

We prove the consistency of a family of CUSUM-type estimators of the point of change in the mean of dependent observations and derive the rates of convergence. The result is valid under weak assumptions on the dependence structure.

The paper deals with the renewal risk model. A precise large deviation result in the case of subexponential claim sizes is proved. As a special case, the example of Pareto distributed claim sizes and inter-occurrence times is investigated.