A stable iterative algorithm for evaluation of upper and lower approximations to ultimate ruin probabilities

In this contribution we present an iterative algorithm for the calculation of two-sided numerical approximations to the probability of ultimate ruin for the classical risk model, which can be directly used in the case of compounding assets as well. Examples involving claim size distributions for whi...

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Bibliographic Details
Main Authors: Luca Barzanti, Corrado Corradi
Format: Article
Language:English
Published: University of Bologna 2007-10-01
Series:Statistica
Online Access:http://rivista-statistica.unibo.it/article/view/1232
Description
Summary:In this contribution we present an iterative algorithm for the calculation of two-sided numerical approximations to the probability of ultimate ruin for the classical risk model, which can be directly used in the case of compounding assets as well. Examples involving claim size distributions for which the existing recursive algorithms are inherently unable to provide numerical upper and lower bounds are illustrated, showing the merits of the proposed approach.
ISSN:0390-590X
1973-2201