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Multivariate regularly varying insurance and financial risks in multidimensional risk models
Published online by Cambridge University Press: 13 May 2024
Abstract
Multivariate regular variation is a key concept that has been applied in finance, insurance, and risk management. This paper proposes a new dependence assumption via a framework of multivariate regular variation. Under the condition that financial and insurance risks satisfy our assumption, we conduct asymptotic analyses for multidimensional ruin probabilities in the discrete-time and continuous-time cases. Also, we present a two-dimensional numerical example satisfying our assumption, through which we show the accuracy of the asymptotic result for the discrete-time multidimensional insurance risk model.
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Applied Probability Trust