### Dimitrios Konstantinides (University of the Aegean, Greece)

#### The probabilities of absolute ruin in the renewal risk model with constant force of interest

*Joint work with Kai W. Ng and Qihe Tang.*

*Wednesday 26 January 2011 at 15.30, JCMB 6206*

##### Abstract

In this paper we consider the probabilities of finite- and infinite-time
absolute ruin in the renewal risk model with constant premium rate and
constant force of interest. In the particular case of compound Poisson model,
explicit asymptotic expressions for the finite- and infinite-time absolute
ruin probabilities are given. For the general renewal risk model, we present
an asymptotic expression for the infinite-time absolute ruin probability.
Conditional distributions of Poisson processes and probabilistic techniques
regarding randomly weighted sums are employed in the course of this study.

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