[图书][B] Stochastic analysis of mixed fractional Gaussian processes

Y Mishura, M Zili - 2018 - books.google.com
Stochastic Analysis of Mixed Fractional Gaussian Processes presents the main tools
necessary to characterize Gaussian processes. The book focuses on the particular case of …

Stability Analysis of Neutral Fractional Stochastic Differential Equations Driven by Mixed Brownian Motion and Subfractional Brownian Motion With Applications in the I …

C Mattuvarkuzhali… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Exponential stability is often used to barricade stochastic disturbance in visual trajectory
tracking of a robotic system. In this work, a nonlinear mathematical model to deal with the …

Stochastic averaging for the non-autonomous mixed stochastic differential equations with locally Lipschitz coefficients

R Wang, Y Xu, H Yue - Statistics & Probability Letters, 2022 - Elsevier
This paper investigates a non-autonomous slow–fast system, which is generalized by
stochastic differential equations with locally Lipschitz coefficients, subjected to standard …

Mixed fractional stochastic differential equations with jumps

G Shevchenko - Stochastics An International Journal of Probability …, 2014 - Taylor & Francis
Full article: Mixed fractional stochastic differential equations with jumps Skip to Main Content
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Mixed stochastic differential equations: Existence and uniqueness result

JL da Silva, M Erraoui, EH Essaky - Journal of Theoretical Probability, 2018 - Springer
In this paper we establish an existence and uniqueness result for solutions of
multidimensional, time-dependent, stochastic differential equations driven simultaneously by …

Mixed stochastic delay differential equations

G Shevchenko - Theory of Probability and Mathematical Statistics, 2014 - ams.org
We consider a stochastic delay differential equation driven by a Hölder continuous process
$ Z $ and a Wiener process. Under fairly general assumptions on coefficients of the …

Asymptotic behavior of mixed power variations and statistical estimation in mixed models

M Dozzi, Y Mishura, G Shevchenko - Statistical Inference for Stochastic …, 2015 - Springer
Asymptotic behavior of mixed power variations and statistical estimation in mixed models |
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Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion

X Zhang, D Ruan - Journal of Inequalities and Applications, 2018 - Springer
In this paper, we study the exponential stability in the p th moment of mild solutions to neutral
stochastic functional partial differential equations driven by Brownian motion and fractional …

Pathwise methods in regularisation by noise

L Galeati - 2022 - bonndoc.ulb.uni-bonn.de
This thesis concerns the study of regularisation by noise phenomena for ODEs and PDEs. In
particular, it focuses on the use of so called pathwise techniques: our aim is to identify …

Parametric estimation for linear stochastic differential equations driven by mixed fractional Brownian motion

BLSP Rao - Stochastic Analysis and Applications, 2018 - Taylor & Francis
We investigate the asymptotic properties of the maximum likelihood estimator and Bayes
estimator of the drift parameter for stochastic processes satisfying linear stochastic …