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随机时间内破产概率的弱渐近性

The symptotic behavior of the ruin probability within a random horizon
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摘要 在索赔额为负相协随机变量列,有共同分布F属于控制变化尾分布族及长尾分布族的假设下,本文研究了随机时间内破产概率的弱渐近性. Subject to the assumption that the common distribution of claim sizes belongs to dominated varying-tailed class and long-tailed class, the present work obtains a weakly asymptotic formula for the ruin probability within a random harizon in the renewal model.
出处 《苏州大学学报(自然科学版)》 CAS 2009年第1期7-10,共4页 Journal of Soochow University(Natural Science Edition)
基金 国家自然科学基金资助项目(10671139)
关键词 弱渐近性 破产概率 控制变化尾 长尾 wealy asymptotic ruin probability dominated varying tail long tail
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  • 1Embrechts, P., Veraverbeke, N. Estimates for the probability of ruin with special emphasis on the poesibility of large claims. Insurance Math. Econom., 1:55-72 (1982).
  • 2Foss, S., Zachary, S. The maximum on a random time interval of a random walk with long-tailed increments and negative drift. Ann. Appl. Probab., 13:37-53 (2003).
  • 3Kaa8, R., Tang, Q. Note on the tail behavior of random Walk maxima with heavy tails and negative drift.N. Am. Actuar. J., 7(3): 57-61 (2003).
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  • 5Tang, Q., Su, C., Jiang, T.,Zhang, J. Large deviations for heavy-tailed random sums in compound renewal model. Statist. Probab. Lett., 52(1): 91-100 (2001).

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