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题名Characterising the path-independent property of the Girsanov density for degenerated stochastic differential equations
作者
发表日期2018-02-01
发表期刊Statistics and Probability Letters
ISSN/eISSN0167-7152
卷号133页码:71-79
摘要

In this paper, we derive a characterisation theorem for the path-independent property of the density of the Girsanov transformation for degenerated stochastic differential equations (SDEs), extending the characterisation theorem of Truman et al. (2012) for the non-degenerated SDEs. We further extend our consideration to non-Lipschitz SDEs with jumps and with degenerated diffusion coefficients, which generalises the corresponding characterisation theorem established in Qiao and Wu (submitted for publication).

关键词Degenerated stochastic differential equations (SDEs) Girsanov transformation Non-Lipschitz SDEs with jumps Semi-linear partial integro-differential equation of parabolic type
DOI10.1016/j.spl.2017.10.005
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:000419424600011
Scopus入藏号2-s2.0-85034083179
引用统计
被引频次:5[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/10507
专题个人在本单位外知识产出
通讯作者Wu, Bo
作者单位
1.School of Mathematical Sciences,Fudan University,Shanghai,200433,China
2.Department of Mathematics,College of Science,Swansea University,Swansea,Singleton Park,SA2 8PP,United Kingdom
推荐引用方式
GB/T 7714
Wu, Bo,Wu, Jianglun. Characterising the path-independent property of the Girsanov density for degenerated stochastic differential equations[J]. Statistics and Probability Letters, 2018, 133: 71-79.
APA Wu, Bo, & Wu, Jianglun. (2018). Characterising the path-independent property of the Girsanov density for degenerated stochastic differential equations. Statistics and Probability Letters, 133, 71-79.
MLA Wu, Bo,et al."Characterising the path-independent property of the Girsanov density for degenerated stochastic differential equations". Statistics and Probability Letters 133(2018): 71-79.
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