Polynomial Chaos Decomposition for the Simulation of Non-Gaussian Nonstationary Stochastic Processes

Journal of Engineering Mechanics ◽

10.1061/(asce)0733-9399(2002)128:2(190) ◽

2002 ◽

Vol 128 (2) ◽

pp. 190-201 ◽

Author(s):

Shigehiro Sakamoto ◽

Roger Ghanem

Keyword(s):

Stochastic Processes ◽

Polynomial Chaos ◽

Chaos Decomposition ◽

Non Gaussian ◽

Nonstationary Stochastic Processes

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A New Method for Simulating Non-Gaussian and Nonstationary Stochastic Processes

Proceedings of the 6th International Symposium on Reliability Engineering and Risk Management ◽

10.3850/978-981-11-2726-7_cgrs05 ◽

2018 ◽

Author(s):

Liang Li ◽

Wanqiu Chen ◽

Hongzhe Dai

Keyword(s):

Stochastic Processes ◽

Non Gaussian ◽

Nonstationary Stochastic Processes

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An explicit method for simulating non-Gaussian and non-stationary stochastic processes by Karhunen-Loève and polynomial chaos expansion

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2018.05.026 ◽

2019 ◽

Vol 115 ◽

pp. 1-13 ◽

Author(s):

Hongzhe Dai ◽

Zhibao Zheng ◽

Huihuan Ma

Keyword(s):

Stochastic Processes ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Explicit Method ◽

Stationary Stochastic Processes ◽

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Study of the Influence of the Orientation of a 50-Hz Magnetic Field on Fetal Exposure Using Polynomial Chaos Decomposition

International Journal of Environmental Research and Public Health ◽

10.3390/ijerph120605934 ◽

2015 ◽

Vol 12 (6) ◽

pp. 5934-5953 ◽

Author(s):

Ilaria Liorni ◽

Marta Parazzini ◽

Serena Fiocchi ◽

Paolo Ravazzani

Keyword(s):

Magnetic Field ◽

Polynomial Chaos ◽

Fetal Exposure ◽

Chaos Decomposition

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Variance of the fatigue damage in non-Gaussian stochastic processes with narrow-band power spectrum

Structural Safety ◽

10.1016/j.strusafe.2021.102131 ◽

2021 ◽

Vol 93 ◽

pp. 102131

Author(s):

Julian Marcell Enzveiler Marques ◽

Denis Benasciutti

Keyword(s):

Power Spectrum ◽

Stochastic Processes ◽

Fatigue Damage ◽

Narrow Band ◽

Non Gaussian ◽

Gaussian Stochastic Processes

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Tolerant control for non-Gaussian stochastic processes with unknown faults via two-step fuzzy modeling

Nonlinear Dynamics ◽

10.1007/s11071-018-4717-9 ◽

2018 ◽

Vol 95 (4) ◽

pp. 2703-2716 ◽

Author(s):

Yang Yi ◽

Liren Shao ◽

Xiangxiang Fan ◽

Tianping Zhang

Keyword(s):

Stochastic Processes ◽

Fuzzy Modeling ◽

Non Gaussian ◽

Gaussian Stochastic Processes

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Modeling strongly non-Gaussian non-stationary stochastic processes using the Iterative Translation Approximation Method and Karhunen–Loève expansion

Computers & Structures ◽

10.1016/j.compstruc.2015.08.010 ◽

2015 ◽

Vol 161 ◽

pp. 31-42 ◽

Author(s):

Hwanpyo Kim ◽

Michael D. Shields

Keyword(s):

Stochastic Processes ◽

Approximation Method ◽

Stationary Stochastic Processes ◽

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On some classes of nonstationary stochastic processes

Collected Works II - Springer Collected Works in Mathematics ◽

10.1007/978-3-642-40607-2_20 ◽

1994 ◽

pp. 1131-1152

Author(s):

Harald Cramér

Keyword(s):

Stochastic Processes ◽

Nonstationary Stochastic Processes

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ON THE STOCHASTIC REALIZATION PROBLEM FOR CONTINUOUS-TIME NONSTATIONARY STOCHASTIC PROCESSES

Software for Computer Control 1982 ◽

10.1016/b978-0-08-029352-3.50055-6 ◽

1983 ◽

pp. 351-356 ◽

Author(s):

F.A. Badawi

Keyword(s):

Stochastic Processes ◽

Continuous Time ◽

Realization Problem ◽

Stochastic Realization ◽

Nonstationary Stochastic Processes

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Fast Basis Function Estimators for Identification of Nonstationary Stochastic Processes

2019 27th European Signal Processing Conference (EUSIPCO) ◽

10.23919/eusipco.2019.8902739 ◽

2019 ◽

Author(s):

Maciej Niedzwiecki ◽

Marcin Ciolek ◽

Artur Gancza

Keyword(s):

Stochastic Processes ◽

Basis Function ◽

Nonstationary Stochastic Processes

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Simulating Non-Gaussian Stationary Stochastic Processes by Translation Model

IEEE Access ◽

10.1109/access.2019.2904510 ◽

2019 ◽

Vol 7 ◽

pp. 34555-34569 ◽

Author(s):

Qing Xiao ◽

Shaowu Zhou

Keyword(s):

Stochastic Processes ◽

Translation Model ◽

Stationary Stochastic Processes ◽

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