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In this paper, we extend the concept of ruin in risk theory to the Parisian type of ruin. For this to occur, the … classical surplus process with exponential jump size, we obtain the Laplace transform of the time of ruin and the probability of … ruin in the infinite horizon. We also consider a diffusion approximation and use it to obtain similar results for the …
Persistent link: https://www.econbiz.de/10010745397
In a virtual organization directed on the insurance business, the estimations of the risk process and of the ruin … this paper, we present some methods for the estimation of the ruin probability and for the evaluation of a reserve fund. We … discuss the ruin probability with respect to: the parameters of the individual claim distribution, the load factor of premiums …
Persistent link: https://www.econbiz.de/10008471819
In an insurance company, the risk process estimation and the estimation of the ruin probability are important concerns … present some methods for the evaluation of the ruin probability and the reserve fund. We discuss the ruin probability with …
Persistent link: https://www.econbiz.de/10009352400
In this note we provide an operational interpretation of the economic index of riskiness of Aumann and Serrano (2008) and discuss its existence in the case of non-finite gambles.
Persistent link: https://www.econbiz.de/10010576477
Persistent link: https://www.econbiz.de/10005061290
In this paper we introduce a generalization of the De Vylder approximation. Our idea is to approximate the ruin … studying mixture of exponentials and lognormal claims. In order to obtain exact values of the ruin probability for the …
Persistent link: https://www.econbiz.de/10009003606
as well as an estimate of the ruin probability when the optimal strategy is used. Copyright Springer-Verlag 2008 …
Persistent link: https://www.econbiz.de/10010759514
as well as an estimate of the ruin probability when the optimal strategy is used. Copyright Springer-Verlag 2008 …
Persistent link: https://www.econbiz.de/10010999922
the possible ruin. The ruin is defined through the status of the aggregate risk process, which in turn is determined by … those points to reduce the chance of ruin. To draw a fair measure of effectiveness of alarm system, comparison is drawn …
Persistent link: https://www.econbiz.de/10011046571
derive here the asymptotic behavior (lower and upper bounds) of the finite time ruin probability for any gamma Levy process. …
Persistent link: https://www.econbiz.de/10010626141