The well-known Cramer-Lundberg approximation says that for large u, the ultimate ruin probability w(u) satisfies w(u)~Ce-Ru, where u is the initial reserve, R is the adjustment coefficient and C is a positive constant. Our aim in this work is to present a new expression for C in the classical perturbed risk process and to extend this expression in two cases: 1) possibly negative claims and 2) an infinite number of claims on finite time intervals.
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Paper provided by Catholique de Louvain - Institut de statistique in its series Papers with number
9812.
Length: 19 pages Date of creation: 1998 Date of revision: Handle: RePEc:fth:louvis:9812
Contact details of provider: Postal: Universite Catholique de Louvain, Institut de Statistique, Voie du Roman Pays, 34 B-1348 Louvain- La-Neuve, Belgique.
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