A simple technique for continuity estimation for ruin probability in the compound Poisson risk model is proposed. The approach is based on the contractive properties of operators involved in the integral equations for the ruin probabilities. The corresponding continuity inequalities are expressed in terms of the Kantorovich and weighted Kantorovich distances between distribution functions of claims. Both general and light-tailed distributions are considered.
In Gordienko and Vázquez-Ortega (2016) page 801, the following reference was listed incorrectly: Yu, M.A. (2005) Sensitivity and convergence of uniformly ergodic Markov chains. Journal of Applied Probabilities, 42, 1003–1014. It should have instead been listed as: Mitrophanov, A. Yu. (2005) Sensitivity and convergence of uniformly ergodic Markov chains. Journal of Applied Probability, 42, 1003–1014.We sincerely regret the error and any problems that have resulted for the authors and readers.
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