In this paper, we consider a compound Poisson model with a constant interest force for an insurance portfolio. We investigate the distribution of surplus process immediately before ruin in particular. Equations satisfied by the distributions of surplus immediately before ruin and their Laplace transform have been obtained. Some special cases are also discussed and Lundberg-type bounds are presented. (C) 2001 Elsevier Science B.V. All rights reserved.Statistics & ProbabilitySCI(E)6ARTICLE3329-3385
We consider a general compound Poisson risk model in which the premium rate is surplus dependent. We...
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We consider a general compound Poisson risk model in which the premium rate is surplus dependent. We...
We consider a compound Poisson surplus process perturbed by diffusion with debit interest. When the ...
AbstractWe consider the classical model for an insurance business where the claims occur according t...
In this paper, we consider a compound Poisson model with a constant interest force for an insurance ...
In this paper, we consider the problem of the severity of ruin for a compound Poisson model with a c...
Consider a classical compound Poisson model. The safety loading can be positive, negative or zero. E...
In the classical compound Poisson model of the collective risk theory we consider X, the surplus bef...
In this paper we consider the Sparre Andersen insurance risk model. Three cases are discussed: the o...
In this paper we consider a compound Poisson risk model where the insurer earns credit interest at a...
In this article, we consider the perturbed compound Poisson risk process with investment incomes. Th...
We consider a risk reserve process whose premium rate reduces from cd to cu when the reserve comes a...
In this paper we investigate the ruin probability in the classical risk model under a positive const...
In this paper, we study ruin in a perturbed compound Poisson risk process under stochastic interest ...
In contrast with the classical Cramer-Lundberg model where the premium process is a linear function ...
Doutoramento em MatemáticaIn ruin theory, assuming the classical compound Poisson continuous time su...
We consider a general compound Poisson risk model in which the premium rate is surplus dependent. We...
We consider a compound Poisson surplus process perturbed by diffusion with debit interest. When the ...
AbstractWe consider the classical model for an insurance business where the claims occur according t...