Asymptotics for the ruin probabilities of a two-dimensional renewal risk model with heavy-tailed claims
Applied Stochastic Models in Business and Industry2010Vol. 27(3), pp. 290–300
Citations Over TimeTop 11% of 2010 papers
Abstract
In this paper, we consider two dependent classes of insurance business with heavy-tailed claims. The dependence comes from the assumption that claim arrivals of the two classes are governed by a common renewal counting process. We study two types of ruin in the two-dimensional framework. For each type of ruin, we establish an asymptotic formula for the finite-time ruin probability. These formulae possess a certain uniformity feature in the time horizon. Copyright © 2010 John Wiley & Sons, Ltd.
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