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Document Details :

Title: On the Distribution of the Surplus Prior to and at Ruin
Author(s): SCHMIDLI, H.P.
Journal: ASTIN Bulletin
Volume: 29    Issue: 2   Date: November 1999   
Pages: 227-244
DOI: 10.2143/AST.29.2.504613

Abstract :
Consider a classical compound Poisson model. The safety loading can be positive, negative or zero. Explicit expressions for the distributions of the surplus prior and at ruin are given in terms of the ruin probability. Moreover, the asymptotic behaviour of these distributions as the initial capital tends to infinity are obtained. In particular, for positive safety loading the Cramér case, the case of subexponential distributions and some intermediate cases are discussed.