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Path independence of the additive functionals for stochastic differential equations driven by G-lévy processes
期刊论文
Probability, Uncertainty and Quantitative Risk,2022, 卷号: 7, 期号: 2, 页码: 101-118
作者:
Qiao, Huijie
;
Wu, Jianglun
收藏
  |  
浏览/下载:8/0
  |  
提交时间:2023/05/30
Additive functionals
G-Lévy processes
Stochastic differential equations driven by G-Lévy processes
The path independence
Markovian approximation of the rough bergomi model for Monte Carlo option pricing
期刊论文
Mathematics,2021, 卷号: 9, 期号: 5, 页码: 1-21
作者:
Zhu, Qinwen
;
Loeper, Grégoire
;
Chen, Wen
;
Langrené, Nicolas
收藏
  |  
浏览/下载:20/0
  |  
提交时间:2022/08/29
Forward variance model
Hybrid scheme
Markovian representation
Rough fractional stochastic volatility
Rough heston
Sum of ornstein-uhlenbeck processes
Volatility skew
Volterra integral
Density Estimates for the Solutions of Backward Stochastic Differential Equations Driven by Gaussian Processes
期刊论文
Potential Analysis,2021, 卷号: 54, 期号: 3, 页码: 483-501
作者:
Fan, Xiliang
;
Wu, Jianglun
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  |  
浏览/下载:16/0
  |  
提交时间:2023/05/30
Backward stochastic differential equations
Density estimate
Fractional Brownian motion
Gaussian processes
Malliavin calculus
First jump time in simulation of sampling trajectories of affine jump-diffusions driven by α-stable white noise
期刊论文
Communications on Pure and Applied Analysis,2020, 卷号: 19, 期号: 8, 页码: 4127-4142
作者:
Song, Jiao
;
Wu, Jianglun
;
Huang, Fangzhou
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  |  
浏览/下载:6/0
  |  
提交时间:2023/05/30
Affine coefficients
Multivariate Lagrange interpolation
Simulation
Stochastic differential equations
α-stable processes
A detection algorithm for the first jump time in sample trajectories of jump-diffusions driven by α-stable white noise
期刊论文
Communications in Statistics - Theory and Methods,2019, 卷号: 48, 期号: 19, 页码: 4888-4902
作者:
Song, Jiao
;
Wu, Jianglun
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2023/05/30
60E07
60G17
65C99
68U20
multivariate Lagrange interpolation
simulation
stochastic differential equations
α-stable processes
Maximum principles for nonlocal parabolic Waldenfels operators
期刊论文
Bulletin of Mathematical Sciences,2019, 卷号: 9, 期号: 3
作者:
Huang, Qiao
;
Duan, Jinqiao
;
Wu, Jianglun
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2023/05/30
Fokker-Planck equations
integro-partial differential equations
Nonlocal operators
stochastic differential equations with α-stable Lévy processes
Waldenfels operators
weak and strong maximum principles
A link of stochastic differential equations to nonlinear parabolic equations
期刊论文
Science China Mathematics,2012, 卷号: 55, 期号: 10, 页码: 1971-1976
作者:
Truman, Aubrey
;
Wang, Feng Yu
;
Wu, Jianglun
;
Yang, Wei
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  |  
浏览/下载:14/0
  |  
提交时间:2023/05/30
diffusion processes
nonlinear partial differential equation
stochastic differential equations
the Girsanov transformation
Convergence analysis of the particle swarm optimization with stochastic inertia weight
会议论文
2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), Jinan, China, 7 July 2010 through 9 July 2010
作者:
Wang, Qingguo
;
Yan, Wenjun
;
Yao, Wei
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  |  
浏览/下载:7/0
  |  
提交时间:2021/07/22
Convergence
Particle swarm optimization (PSO)
Stochastic inertia weight
Stochastic processes
Stochastic differential equations with polar-decomposed Lévy measures and applications to stochastic optimization
期刊论文
Frontiers of Mathematics in China,2007, 卷号: 2, 期号: 4, 页码: 539-558
作者:
Bennett, Jonathan
;
Wu, Jianglun
收藏
  |  
浏览/下载:12/0
  |  
提交时间:2023/05/30
Jump-type stochastic differential equations
Polar decomposition of Lévy measures
Portfolio optimization
Stable-like processes