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Precise Asymptotics for Lévy Processes
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
作者姓名:Zhi Shui HU Chun SU
作者单位:Department of Statistics and Finance, University of Science and Technology of China, Hefei 230026, P. R. China
基金项目:This work is supported by the National Natural Science Foundation (Grant No. 10671188) and Special Foundation of USTC
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.

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
Abstract:
Keywords:precise asymptotic, Lé  vy process, stable process, Fuk-Nagaev type inequality
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