THE EULER SCHEME FOR A STOCHASTIC DIFFERENTIAL EQUATION DRIVEN BY PURE JUMP SEMIMARTINGALES

被引:0
|
作者
Wang, Hanchao [1 ]
机构
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
基金
中国博士后科学基金;
关键词
Euler scheme; weak convergence; pure jump Ito semimartingale; stochastic differential equation; LIMIT-THEOREMS;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper we propose the asymptotic error distributions of the Euler scheme for a stochastic differential equation driven by Ito semimartingales. Jacod (2004) studied this problem for stochastic differential equations driven by pure jump Levy processes and obtained quite sharp results. We extend his results to a more general pure jump Ito semimartingale.
引用
收藏
页码:149 / 166
页数:18
相关论文
共 50 条
  • [1] The Euler scheme for Levy driven stochastic differential equations
    Protter, P
    Talay, D
    ANNALS OF PROBABILITY, 1997, 25 (01): : 393 - 423
  • [2] Pure-jump semimartingales
    Černý, Aleš
    Ruf, Johannes
    arXiv, 2019,
  • [3] Pure-jump semimartingales
    Cerny, Ales
    Ruf, Johannes
    BERNOULLI, 2021, 27 (04) : 2624 - 2648
  • [4] Pathwise uniqueness for stochastic differential equations driven by pure jump processes
    Zheng, Jiayu
    Xiong, Jie
    STATISTICS & PROBABILITY LETTERS, 2017, 130 : 100 - 104
  • [5] On weak solutions to stochastic differential inclusions driven by semimartingales
    Michta, M
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2004, 22 (05) : 1341 - 1361
  • [6] On reflected stochastic differential equations driven by regulated semimartingales
    Hilbert, Astrid
    Jarni, Imane
    Ouknine, Youssef
    STATISTICS & PROBABILITY LETTERS, 2020, 167
  • [7] AN EULER-POISSON SCHEME FOR LEVY DRIVEN STOCHASTIC DIFFERENTIAL EQUATIONS
    Ferreiro-Castilla, A.
    Kyprianou, A. E.
    Scheichl, R.
    JOURNAL OF APPLIED PROBABILITY, 2016, 53 (01) : 262 - 278
  • [8] WEAK EULER SCHEME FOR LEVY-DRIVEN STOCHASTIC DIFFERENTIAL EQUATIONS
    Mikulevicius, R.
    Zhang, Ch
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 2018, 63 (02) : 246 - 266
  • [9] The Euler scheme for Levy driven stochastic differential equations: Limit theorems
    Jacod, J
    ANNALS OF PROBABILITY, 2004, 32 (3A): : 1830 - 1872
  • [10] LARGE DEVIATIONS FOR STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY SEMIMARTINGALES
    Huang, Q.
    Wei, W.
    Duan, J.
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 2024, 69 (03) : 460 - 487