Results 61 to 70 of about 10,498,711 (191)
Fractional Ornstein-Uhlenbeck Processes [PDF]
In this monograph, we are mainly studying Gaussian processes, in particularly three different types of fractional Ornstein – Uhlenbeck processes. Pioneers in this field may bementioned, e.g. Kolmogorov (1903-1987) and Mandelbrot (1924-2010).The Ornstein –
Kaarakka, Terhi
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Minimum Information Variability in Linear Langevin Systems via Model Predictive Control
Controlling the time evolution of a probability distribution that describes the dynamics of a given complex system is a challenging problem. Achieving success in this endeavour will benefit multiple practical scenarios, e.g., controlling mesoscopic ...
Adrian-Josue Guel-Cortez +2 more
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Stochastic Theories and Deterministic Differential Equations
We discuss the concept of “hydrodynamic” stochastic theory, which is not based on the traditional Markovian concept. A Wigner function developed for friction is used for the study of operators in quantum physics, and for the construction of a quantum ...
John F. Moxnes, Kjell Hausken
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Coupling for Ornstein–Uhlenbeck processes with jumps
Published in at http://dx.doi.org/10.3150/10-BEJ308 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)
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On Local Times of Ornstein-Uhlenbeck Processes
We establish expressions of the local time process of an Ornstein-Uhlenbeck process in terms of the local times on curves of a Brownian motion.
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Alternative way to derive the distribution of the multivariate Ornstein–Uhlenbeck process
In this paper, we solve the Fokker–Planck equation of the multivariate Ornstein–Uhlenbeck process to obtain its probability density function. This approach allows us to ascertain the distribution without solving it analytically.
P. Vatiwutipong, N. Phewchean
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Laplace and the origin of the Ornstein-Uhlenbeck process [PDF]
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Time irregularity of generalized Ornstein–Uhlenbeck processes [PDF]
This Note is concerned with the properties of solutions to a linear evolution equation perturbed by a cylindrical Lévy process. It turns out that solutions, under rather weak requirements, do not have a càdlàg modification. Some natural open questions are also stated.
Z. Brzezniak +5 more
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Parameter estimation for Ornstein–Uhlenbeck processes driven by fractional Lévy process
We study the minimum Skorohod distance estimation θε∗ $\theta _{\varepsilon}^{\ast }$ and minimum L1 $L_{1}$-norm estimation θε˜ $\widetilde {\theta _{\varepsilon}}$ of the drift parameter θ of a stochastic differential equation dXt=θXtdt+εdLtd $dX_{t ...
Guangjun Shen, Yunmeng Li, Zhenlong Gao
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Multivariate generalized Ornstein–Uhlenbeck processes
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Behme, Anita, Lindner, Alexander
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