Weak convergence approach to compound Poisson risk processes perturbed by diffusion [An article from: Insurance Mathematics and Economics]

This digital document is a journal article from Insurance Mathematics and Economics, published by Elsevier in 2005. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.

Description:
We obtain the ruin probability and expected discounted penalty function for a diffusion-perturbed classical risk model, by taking limits in a sequence of compound Poisson processes that converge weakly to the former. This allows us to improve upon a result of Tsai and Willmot [Tsai, C.C.L., Willmot, G.E., 2002. A generalized defective renewal equation for the surplus process perturbed by diffusion. Insurance Math. Econ. 30, 51-66].