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The Ruin Probability of the Renewal Model with Constant Interest Force and Upper-tailed Independent Heavy-tailed Claims 被引量:4

The Ruin Probability of the Renewal Model with Constant Interest Force and Upper-tailed Independent Heavy-tailed Claims
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摘要 In this paper, we obtain the uniform estimate for discounted aggregate claims in the continuous-time renewal model of upper-tailed independent and heavy-tailed random variables. With constant interest force and constant premium rate, we establish a uniform simple asymptotic formula for ruin probability of the renewal model in the case where the initial surplus is large. In this paper, we obtain the uniform estimate for discounted aggregate claims in the continuous-time renewal model of upper-tailed independent and heavy-tailed random variables. With constant interest force and constant premium rate, we establish a uniform simple asymptotic formula for ruin probability of the renewal model in the case where the initial surplus is large.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第9期1815-1826,共12页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China (Grant No. 10871177) Specialized Research Fund for Doctor Program of Higher Education (Grant No. 20060335032)
关键词 Asymptotic estimate consistent variation renewal process upper-tail independent Asymptotic estimate, consistent variation, renewal process, upper-tail independent
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