Precise Asymptotics for Lévy Processes

被引:2
|
作者
Zhi Shui HU [1 ]
Chun SU [1 ]
机构
[1] Department of Statistics and Finance,University of Science and Technology of China
关键词
precise asymptotic; Lévy process; stable process; Fuk-Nagaev type inequality;
D O I
暂无
中图分类号
O211.6 [随机过程];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Let{X(t),t≥0}be a Lévy process with EX(1)=0 and EX~2(1)<∞.In this paper,weshall give two precise asymptotic theorems for{X(t),t≥0}.By the way,we prove the correspondingconclusions for strictly stable processes and a general precise asymptotic proposition for sums of i.i.d.random variables.
引用
收藏
页码:1265 / 1270
页数:6
相关论文
共 50 条
  • [41] Harmonic analysis of additive Lévy processes
    Davar Khoshnevisan
    Yimin Xiao
    Probability Theory and Related Fields, 2009, 145 : 459 - 515
  • [42] Quantum Lévy processes on dual groups
    Anis Ben Ghorbal
    Michael Schürmann
    Mathematische Zeitschrift, 2005, 251 : 147 - 165
  • [43] Finite Variation of Fractional Lévy Processes
    Christian Bender
    Alexander Lindner
    Markus Schicks
    Journal of Theoretical Probability, 2012, 25 : 594 - 612
  • [44] Thorin classes of Lévy processes and their transforms
    B. Grigelionis
    Lithuanian Mathematical Journal, 2008, 48
  • [45] Trace estimates for unimodal Lévy processes
    K. Bogdan
    B. A. Siudeja
    Journal of Evolution Equations, 2016, 16 : 857 - 876
  • [46] Branching Processes in a L,vy Random Environment
    Palau, S.
    Pardo, J. C.
    ACTA APPLICANDAE MATHEMATICAE, 2018, 153 (01) : 55 - 79
  • [47] Occupation Times of Refracted Lévy Processes
    A. E. Kyprianou
    J. C. Pardo
    J. L. Pérez
    Journal of Theoretical Probability, 2014, 27 : 1292 - 1315
  • [48] Lévy-Driven Carma Processes
    P. J. Brockwell
    Annals of the Institute of Statistical Mathematics, 2001, 53 : 113 - 124
  • [49] Optimal portfolios for exponential Lévy processes
    Jan Kallsen
    Mathematical Methods of Operations Research, 2000, 51 : 357 - 374
  • [50] Random Fractals Determined by Lévy Processes
    Jamison Wolf
    Journal of Theoretical Probability, 2010, 23 : 1182 - 1203