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Abstract
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In this talk, I will discuss some analytical methods Gordon E. Willmot of University of Waterloo and I have developed in the past few years for insurance risk models. One of the advantages for using such analytical methods is that they require little probabilistic argument and hence can easily be understood by non-probabilists. These methods also allow us to utilize results in analysis and differential equations. I will show that with these methods we can obtain not only many existing results but new results for insurance risk models via the Gerber-Shiu expected discount penalty function. |
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