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Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 512, 期号: 1, 页码: 21
作者:
Hong, Jialin
;
Liu, Zhihui
;
Sheng, Derui
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2023/02/07
Stochastic partial differential equation
Fractional Brownian sheet
Hurst index H < 1/2
Holder exponent
Hitting probability
Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 卷号: 41, 期号: 2, 页码: 1608-1638
作者:
Hong, Jialin
;
Huang, Chuying
;
Wang, Xu
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2021/10/26
fractional Brownian motion
strong convergence rate
Runge-Kutta method
simplified step-N Euler scheme
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2675-2692
作者:
Hong, Jialin
;
Huang, Chuying
;
Kamrani, Minoo
;
Wang, Xu
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  |  
浏览/下载:45/0
  |  
提交时间:2020/06/30
Cox-Ingersoll-Ross model
Fractional Brownian motion
Backward Euler scheme
Optimal strong convergence rate
Malliavin calculus
Generation of non-Kolmogorov atmospheric turbulence phase screen using intrinsic embedding fractional Brownian motion method
期刊论文
Optik, 2020, 卷号: 207
作者:
Wang, Kaidi
;
Su, Xiuqin
;
Li, Zhe
;
Wu, Shaobo
;
Zhou, Wei
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  |  
浏览/下载:20/0
  |  
提交时间:2020/03/12
Non-Kolmogorov atmospheric turbulence
Light propagation
Phase screen
Intrinsic embedding (IE)
Fractional Brownian motion (FBM)
Mean-field anticipated BSDEs driven by fractional Brownian motion and related stochastic control problem
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 355, 页码: 282-298
作者:
Douissi, Soukaina
;
Wen, Jiaqiang
;
Shi, Yufeng
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  |  
浏览/下载:1/0
  |  
提交时间:2019/12/11
Mean-field backward stochastic differential equation
Anticipated
backward stochastic differential equation
Fractional Brownian motion
Stochastic control
Predicting remaining useful life based on a generalized degradation with fractional Brownian motion
期刊论文
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2019, 卷号: 115, 页码: 736-752
作者:
Zhang, Hanwen
;
Zhou, Donghua
;
Chen, Maoyin
;
Xi, Xiaopeng
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  |  
浏览/下载:5/0
  |  
提交时间:2019/12/11
Remaining useful life
Age- and state-dependence
Long-range dependence
Fractional Brownian motion
First passage time
FBM-Based Remaining Useful Life Prediction for Degradation Processes With Long-Range Dependence and Multiple Modes
期刊论文
IEEE TRANSACTIONS ON RELIABILITY, 2019, 卷号: 68, 期号: 3, 页码: 1021-1033
作者:
Zhang, Hanwen
;
Zhou, Donghua
;
Chen, Maoyin
;
Shang, Jun
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  |  
浏览/下载:5/0
  |  
提交时间:2019/12/11
Continuous-time Markov chain (CTMC)
fractional Brownian motion (FBM)
long-range dependence
multiple modes degradation process
remaining
useful life (RUL)
Robust H-infinity filtering and control for a class of linear systems with fractional stochastic noise
期刊论文
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 卷号: 526
作者:
Lu, Shi
;
Zhang, Weihai
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  |  
浏览/下载:6/0
  |  
提交时间:2019/12/11
Fractional Brownian motion
Fractional infinitesimal operator
Robust
H-infinity filtering
Robust H-infinity control
Fine properties of fractional Brownian motions on Wiener space
期刊论文
Journal of Mathematical Analysis and Applications, 2019, 卷号: Vol.473 No.1, 页码: 141-173
作者:
Jiawei Li
;
Zhongmin Qian
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2019/12/13
Capacity
Fractional
Brownian
motion
Malliavin
derivative
Sample
property
Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 1, 页码: 184-197
作者:
Cao, Yanzhao
;
Hong, Jialin
;
Liu, Zhihui
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  |  
浏览/下载:12/0
  |  
提交时间:2018/07/30
stochastic differential equation of boundary value type
fractional Brownian motion
piecewise constant approximation
finite element approximation
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