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Document Details :

Title: Some Stable Algorithms in Ruin Theory and Their Applications
Author(s): DICKSON, D.C.M. , EGIDIO DOS REIS, A.D. , WATERS, H.R.
Journal: ASTIN Bulletin
Volume: 25    Issue: 2   Date: November 1995   
Pages: 153-175
DOI: 10.2143/AST.25.2.563245

Abstract :
In this paper we present a stable recursive algorithm for the calculation of the probability of ultimate ruin in the classical risk model. We also present stable recursive algorithms for the calculation of the joint and marginal distributions of the surplus prior to ruin and the severity of ruin. In addition we present bounds for these distributions.