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Large deviations for generalized compound Poisson risk models and its bankruptcy moments 被引量:11

Large deviations for generalized compound Poisson risk models and its bankruptcy moments
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摘要 We extend the classical compound Poisson risk model to the case where the premium income process, based on a Poisson process, is no longer a linear function.For this more realistic risk model, Lundberg type limiting results on the finite time ruin probabilities are derived. Asymptotic behaviour of the tail probabilities of the claim surplus process is also investigated. We extend the classical compound Poisson risk model to the case where the premium income process, based on a Poisson process, is no longer a linear function. For this more realistic risk model, Lundberg type limiting results on the finite time ruin probabilities are derived. Asymptotic behaviour of the tail probabilities of the claim surplus process is also investigated.
作者 HU Yijun
出处 《Science China Mathematics》 SCIE 2004年第2期311-319,共9页 中国科学:数学(英文版)
基金 The author is grateful to the referees for their comments and suggestions. This work was supported by the National Natural Science Foundation of China and the Ministry of Education of China.
关键词 RUIN probability (generalized) compound POISSON risk model large deviations. ruin probability (generalized) compound Poisson risk model large deviations
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参考文献12

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二级参考文献5

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