Results 1 to 10 of about 25,038 (100)
Frontiers in Physics, 2022 Let SH be a sub-fractional Brownian motion with index 12<H<1. In this paper, we consider the linear self-interacting diffusion driven by SH, which is the solution to the equationdXtH=dStH−θ(∫0tXtH−XsHds)dt+νdt,X0H=0,where θ < 0 and ν∈R are two ...
Han Gao, Rui Guo, Yang Jin, Litan Yan
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White noise based stochastic calculus associated with a class of Gaussian processes [PDF]
Opuscula Mathematica, 2012 Using the white noise space setting, we define and study stochastic integrals with respect to a class of stationary increment Gaussian processes. We focus mainly on continuous functions with values in the Kondratiev space of stochastic distributions ...
Daniel Alpay, Haim Attia, David Levanony
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On relation between one multiple and a corresponding one-dimensional integral with applications [PDF]
Yugoslav Journal of Operations Research, 2018 For a given finite positive measure on an interval I ⊆ R, a multiple stochastic integral of a Volterra kernel with respect to a product of a corresponding Gaussian orthogonal stochastic measure is introduced.
Bajić Tatjana
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A generalized white noise space approach to stochastic integration for a class of Gaussian stationary increment processes [PDF]
Opuscula Mathematica, 2013 Given a Gaussian stationary increment processes, we show that a Skorokhod-Hitsuda stochastic integral with respect to this process, which obeys the Wick-Itô calculus rules, can be naturally defined using ideas taken from Hida's white noise space theory ...
Daniel Alpay, Alon Kipnis
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Mathematics, 2023 Controllability is a basic problem in the study of stochastic generalized systems. Compared with ordinary stochastic systems, the structure of stochastic singular systems is more complex, and it is necessary to study the controllability of stochastic ...
Zhaoqiang Ge
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Set-Valued Stochastic Lebesque Integral and Representation Theorems [PDF]
International Journal of Computational Intelligence Systems, 2008 In this paper, we shall firstly illustrate why we should introduce set-valued stochastic integrals, and then we shall discuss some properties of set-valued stochastic processes and the relation between a set-valued stochastic process and its selection ...
Jungang Li, Shoumei Li
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Aumann Type Set-valued Lebesgue Integral and Representation Theorem [PDF]
International Journal of Computational Intelligence Systems, 2009 n this paper, we shall firstly illustrate why we should discuss the Aumann type set-valued Lebesgue integral of a set-valued stochastic process with respect to time t under the condition that the set-valued stochastic process takes nonempty compact ...
Jungang Li, Shoumei Li
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Karpatsʹkì Matematičnì Publìkacìï, 2022 We deal with spaces of regular test functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property.
N.A. Kachanovsky
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Backward stochastic variational inequalities driven by multidimensional fractional Brownian motion [PDF]
Opuscula Mathematica, 2018 We study the existence and uniqueness of the backward stochastic variational inequalities driven by \(m\)-dimensional fractional Brownian motion with Hurst parameters \(H_k\) (\(k=1,\ldots m\)) greater than \(1/2\).
Dariusz Borkowski +1 more
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Directional Stochastic Orders with an Application to Financial Mathematics
Mathematics, 2021 Relevant integral stochastic orders share a common mathematical model, they are defined by generators which are made up of increasing functions on appropriate directions. Motivated by the aim to provide a unified study of those orders, we introduce a new
María Concepción López-Díaz +2 more
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