Precise Asymptotics for Lévy Processes |
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引用本文: | Zhi Shui HU Chun SU. Precise Asymptotics for Lévy Processes[J]. 数学学报(英文版), 2007, 23(7): 265-1270 |
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作者姓名: | Zhi Shui HU Chun SU |
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作者单位: | Department of Statistics and Finance, University of Science and Technology of China, Hefei 230026, P. R. China |
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基金项目: | This work is supported by the National Natural Science Foundation (Grant No. 10671188) and Special Foundation of USTC |
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摘 要: | Let {X(t), t ≥ 0} be a Lévy process with EX(1) = 0 and EX^2(1) 〈 ∞. In this paper, we shall give two precise asymptotic theorems for {X(t), t 〉 0}. By the way, we prove the corresponding conclusions for strictly stable processes and a general precise asymptotic proposition for sums of i.i.d. random variables.
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关 键 词: | 莱维过程 渐近性 稳定过程 Fuk-Nagaev型不等式 |
修稿时间: | 2004-12-28 |
Precise Asymptotics for Lévy Processes |
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Abstract: | |
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Keywords: | precise asymptotic, Lé vy process, stable process, Fuk-Nagaev type inequality |
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