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The Finite-time Ruin Probability of a Discrete-time Risk Model with Subexponential and Dependent Insurance and Financial Risks 被引量:2

The Finite-time Ruin Probability of a Discrete-time Risk Model with Subexponential and Dependent Insurance and Financial Risks
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摘要 Consider a discrete-time risk model with insurance and financial risks in a stochastic economic environment. Assume that the insurance and financial risks form a sequence of independent and identically distributed random vectors with a generic random vector following a wide type of dependence structure. An asymptotic formula for the finite-time ruin probability with subexponential insurance risks is derived. In doing so, the subexponentiality of the product of two dependent random variables is investigated simultaneously. Consider a discrete-time risk model with insurance and financial risks in a stochastic economic environment. Assume that the insurance and financial risks form a sequence of independent and identically distributed random vectors with a generic random vector following a wide type of dependence structure. An asymptotic formula for the finite-time ruin probability with subexponential insurance risks is derived. In doing so, the subexponentiality of the product of two dependent random variables is investigated simultaneously.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2018年第3期553-565,共13页 应用数学学报(英文版)
基金 Supported in part by the Natural National Science Foundation of China under Grant No.11671012 the Natural Science Foundation of Anhui Province under Grant No.1808085MA16 the Provincial Natural Science Research Project of Anhui Colleges under Grant No.KJ2017A024 and KJ2017A028
关键词 discrete-time risk model finite-time ruin probability subexponentiality product dependence structure discrete-time risk model finite-time ruin probability subexponentiality product dependence structure
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