Statistical Tools for Finance and Insurance  
 

16 Stable Diffusion Approximation of the Risk Process
16.1 Introduction
16.2 Brownian Motion and the Risk Model for Small Claims
16.3 Stable Lévy Motion and the Risk Model for Large Claims
16.3.1 Weak Convergence of Risk Processes to $\alpha$-stable Lévy Motion
16.3.2 Ruin Probability in Limit Risk Model for Large Claims
16.3.3 Examples
Bibliography

 
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