The class of reduced form models is a very important class of credit risk models, and the modeling of the default dependence structure is essential in the reduced form models. This paper proposes a thinning-dependent structure model in the reduced form framework. The intensity process is the...

Reduced form credit risk models are important ones in credit risk theory. In such a model, certain correlated relations are constructed to represent the default dependence structure among the default intensity processes. In this paper, we introduced a reduced form credit risk model in which the...

In this paper, we consider a risk process with stochastic return on investments. The basic risk process is the classical risk process while the return on the investment generating process is a compound Poisson process plus a Brownian motion with positive drift. We obtain an integral equation for...